Geometry

Skills · practice coming soon

• 1Convert customary units of measure
• 2Convert metric units of measure
• 3Convert between customary and metric units
• 4Convert square and cubic units
• 5Unit conversion mixed review

Skills · practice coming soon

• 1List the sample space of a simple experiment
• 2Find the probability of a simple event
• 3Find the probability of the complement of an event
• 4Simple probability word problems

Skills · practice coming soon

• 1Evaluate numerical expressions using the order of operations
• 2Evaluate algebraic expressions by substitution
• 3Evaluate geometric formulas for given values
• 4Simplify expressions by combining like terms and distributing

Skills · practice coming soon

• 1Solve two-step linear equations
• 2Solve multi-step linear equations
• 3Solve equations with variables on both sides
• 4Rearrange a formula to solve for a variable
• 5Write and solve equations from geometric descriptions
• 6Linear equations mixed review

Skills · practice coming soon

• 1Solve one-step and two-step inequalities
• 2Solve multi-step inequalities
• 3Graph the solution set of an inequality
• 4Write and solve inequalities from constraints

Skills · practice coming soon

• 1Identify quadrants and axes
• 2Graph points in the coordinate plane
• 3Name the coordinates of a point
• 4Graph a linear equation in two variables

Skills · practice coming soon

• 1Solve a system of linear equations by graphing
• 2Solve a system by substitution
• 3Solve a system by elimination
• 4Choose a method and solve a system

Skills · practice coming soon

• 1Evaluate square roots of perfect squares
• 2Estimate square roots of non-perfect squares
• 3Simplify radical expressions
• 4Solve equations using square roots
• 5Multiply and divide radical expressions
• 6Radicals mixed review

Skills · practice coming soon

• 1Identify and name points, lines, and planes
• 2Identify collinear and coplanar points
• 3Identify intersections of lines and planes
• 4Model points, lines, and planes in the real world
• 5Use the undefined terms in precise definitions

Skills · practice coming soon

• 1Measure line segments
• 2Identify congruent segments
• 3Use the Segment Addition Postulate
• 4Construct a congruent segment and a segment bisector
• 5Find segment lengths using algebra
• 6Linear measure mixed review

Skills · practice coming soon

• 1Find the distance between two points on a number line
• 2Find the distance between two points in the coordinate plane
• 3Find the midpoint of a segment
• 4Find an endpoint given the midpoint
• 5Find the point that partitions a directed segment in a given ratio
• 6Find the perimeter of a polygon in the coordinate plane
• 7Distance and midpoints mixed review

Skills · practice coming soon

• 1Name angles and identify their parts
• 2Measure and classify angles
• 3Use the Angle Addition Postulate
• 4Identify and use angle bisectors
• 5Construct a congruent angle and an angle bisector
• 6Find angle measures using algebra
• 7Angle measure mixed review

Skills · practice coming soon

• 1Identify adjacent, vertical, and linear pair angles
• 2Find measures of complementary and supplementary angles
• 3Complementary and supplementary angle word problems
• 4Find angle measures using vertical angles and linear pairs
• 5Identify perpendicular lines and use their properties
• 6Identify mistakes in angle relationship problems
• 7Angle relationships mixed review

Skills · practice coming soon

• 1Identify and name polygons
• 2Classify polygons as convex or concave and regular or irregular
• 3Find the perimeter and area of rectangles, triangles, and parallelograms
• 4Find the circumference and area of circles
• 5Find the perimeter and area of figures in the coordinate plane

Skills · practice coming soon

• 1Identify and name three-dimensional figures
• 2Identify faces, edges, and vertices of polyhedra
• 3Find the surface area of prisms and cylinders using formulas
• 4Find the volume of prisms and cylinders using formulas

Skills

• 1Identify and extend patterns to make a conjecturePractice
• 2Make conjectures from geometric patternsPractice
• 3Find a counterexample to disprove a conjecturePractice
• 4Decide whether a conjecture is true or falsePractice

Skills · practice coming soon

• 1Identify statements and write negations
• 2Write and evaluate conjunctions and disjunctions
• 3Use Venn diagrams to represent statements
• 4Construct truth tables

Skills

• 1Identify the hypothesis and conclusion of a conditionalPractice
• 2Write a conditional statement in if-then formPractice
• 3Determine the truth value of a conditionalPractice
• 4Write the converse, inverse, and contrapositivePractice
• 5Determine the truth values of related conditionalsPractice
• 6Write and evaluate biconditional statementsPractice

Skills

• 1Distinguish inductive and deductive reasoningPractice
• 2Use the Law of DetachmentPractice
• 3Use the Law of SyllogismPractice
• 4Determine whether a conclusion is validPractice

Skills

• 1Identify and use postulates about points, lines, and planesPractice
• 2Decide whether a statement is always, sometimes, or never truePractice
• 3Write a paragraph proofPractice

Skills

• 1Identify the properties of equality and congruencePractice
• 2Justify each step in solving an equationPractice
• 3Complete a two-column algebraic proofPractice
• 4Write a two-column proof for a geometric equationPractice

Skills

• 1Use the Ruler and Segment Addition Postulates in proofsPractice
• 2Use properties of segment congruence in proofsPractice
• 3Complete a proof about segment relationshipsPractice
• 4Write a two-column proof about segmentsPractice

Skills

• 1Use the Protractor and Angle Addition Postulates in proofsPractice
• 2Use the Supplement and Complement TheoremsPractice
• 3Prove and use the Vertical Angles TheoremPractice
• 4Use theorems about right angles and perpendicular linesPractice
• 5Write a two-column proof about anglesPractice
• 6Reasoning and proof mixed review

Skills

• 1Identify parallel, perpendicular, and skew lines and parallel planesPractice
• 2Identify transversals and the angle pairs they formPractice
• 3Classify angle pairs as interior, exterior, alternate, consecutive, or correspondingPractice

Skills

• 1Find angle measures using corresponding anglesPractice
• 2Find angle measures using alternate interior, alternate exterior, and consecutive interior anglesPractice
• 3Solve for a variable using parallel-line angle relationshipsPractice
• 4Prove angle relationships formed by parallel linesPractice
• 5Identify mistakes in parallel-line angle problemsPractice
• 6Angles and parallel lines mixed review

Skills

• 1Find the slope of a line from two pointsPractice
• 2Identify parallel and perpendicular lines using slopesPractice
• 3Use slopes to decide whether two lines are parallel, perpendicular, or neitherPractice
• 4Graph a line through a point parallel or perpendicular to a given linePractice
• 5Prove the slope criteria for parallel and perpendicular linesPractice

Skills

• 1Write the equation of a line in slope-intercept form from a slope and a pointPractice
• 2Write the equation of a line through two pointsPractice
• 3Write equations in point-slope formPractice
• 4Write the equation of a line parallel or perpendicular to a given line through a pointPractice
• 5Equations of lines mixed review

Skills

• 1Identify which angle pairs prove lines parallelPractice
• 2Find the value that makes two lines parallelPractice
• 3Construct a line parallel to a given line through a point
• 4Prove two lines are parallelPractice

Skills · practice coming soon

• 1Construct a perpendicular to a line through a point
• 2Find the distance from a point to a line in the coordinate plane
• 3Find the distance between two parallel lines

Skills · practice coming soon

• 1Classify triangles by angle measures
• 2Classify triangles by side lengths
• 3Find side lengths of isosceles and equilateral triangles using algebra
• 4Classify triangles in the coordinate plane using the Distance Formula

Skills · practice coming soon

• 1Find missing angle measures using the Triangle Angle-Sum Theorem
• 2Find angle measures using the Exterior Angle Theorem
• 3Use the acute angles of a right triangle and triangle angle corollaries
• 4Solve multi-step triangle angle problems with algebra
• 5Prove the Triangle Angle-Sum Theorem
• 6Angles of triangles mixed review

Skills · practice coming soon

• 1Identify corresponding parts of congruent triangles
• 2Write congruence statements
• 3Find missing measures using corresponding parts of congruent triangles
• 4Use the Third Angles Theorem
• 5Prove triangles congruent using the definition of congruence

Skills · practice coming soon

• 1Identify whether triangles are congruent by SSS or SAS
• 2Construct a triangle congruent to a given triangle
• 3Use SSS and SAS with coordinates to decide congruence
• 4Prove triangles congruent using SSS or SAS
• 5Explain why SSS and SAS follow from rigid motions

Skills · practice coming soon

• 1Identify whether triangles are congruent by ASA or AAS
• 2Choose a congruence postulate or theorem for a pair of triangles
• 3Prove triangles congruent using ASA or AAS
• 4Use CPCTC to prove parts congruent
• 5Explain why ASA follows from rigid motions
• 6Identify mistakes in triangle congruence proofs

Skills · practice coming soon

• 1Use the Isosceles Triangle Theorem to find angle measures
• 2Use the converse of the Isosceles Triangle Theorem to find side lengths
• 3Use properties of equilateral triangles
• 4Solve algebraic problems with isosceles and equilateral triangles
• 5Prove the Isosceles Triangle Theorem
• 6Isosceles and equilateral triangles mixed review

Skills · practice coming soon

• 1Identify reflections, translations, and rotations
• 2Identify a congruence transformation between two triangles
• 3Verify congruence after a transformation using the Distance Formula

Skills · practice coming soon

• 1Position and label a triangle in the coordinate plane
• 2Identify missing coordinates of a positioned figure
• 3Write a coordinate proof about triangles

Skills · practice coming soon

• 1Use the Perpendicular Bisector Theorem and its converse
• 2Use the Angle Bisector Theorem and its converse
• 3Find the circumcenter of a triangle
• 4Find the incenter of a triangle
• 5Construct the circumscribed and inscribed circles of a triangle

Skills · practice coming soon

• 1Identify medians, altitudes, and the centroid and orthocenter
• 2Use the Centroid Theorem to find segment lengths
• 3Find the centroid of a triangle in the coordinate plane
• 4Find the orthocenter of a triangle in the coordinate plane
• 5Prove that the medians of a triangle are concurrent

Skills · practice coming soon

• 1Order the angles of a triangle given its side lengths
• 2Order the sides of a triangle given its angle measures
• 3Use the Exterior Angle Inequality Theorem
• 4Compare measures in triangles using algebra

Skills · practice coming soon

• 1State the assumption for an indirect proof
• 2Write an indirect algebraic proof
• 3Write an indirect geometric proof

Skills · practice coming soon

• 1Determine whether three lengths can form a triangle
• 2Find the range of possible lengths of the third side
• 3Triangle Inequality word problems
• 4Prove the Triangle Inequality Theorem

Skills · practice coming soon

• 1Use the Hinge Theorem to compare sides
• 2Use the converse of the Hinge Theorem to compare angles
• 3Find the range of a variable using the Hinge Theorem

Skills · practice coming soon

• 1Find the sum of the interior angles of a polygon
• 2Find an interior angle of a regular polygon
• 3Find the number of sides from an interior angle sum or measure
• 4Use the Exterior Angle Sum Theorem
• 5Solve polygon angle problems with algebra

Skills · practice coming soon

• 1Use properties of parallelograms to find side lengths and angle measures
• 2Use the diagonals of a parallelogram
• 3Find missing coordinates of a parallelogram
• 4Prove properties of parallelograms
• 5Parallelograms mixed review

Skills · practice coming soon

• 1Identify conditions that prove a quadrilateral is a parallelogram
• 2Find values that make a quadrilateral a parallelogram
• 3Prove a quadrilateral in the coordinate plane is a parallelogram
• 4Prove a quadrilateral is a parallelogram

Skills · practice coming soon

• 1Use properties of rectangles to find measures
• 2Use the diagonals of a rectangle
• 3Prove or disprove that a parallelogram is a rectangle
• 4Prove or disprove that four points form a rectangle

Skills · practice coming soon

• 1Use properties of rhombi to find measures
• 2Use properties of squares
• 3Classify a parallelogram as a rectangle, rhombus, or square
• 4Classify a quadrilateral in the coordinate plane
• 5Identify mistakes in classifying parallelograms

Skills · practice coming soon

• 1Use properties of isosceles trapezoids to find measures
• 2Use the Trapezoid Midsegment Theorem
• 3Use properties of kites to find measures
• 4Classify a quadrilateral in the coordinate plane as a trapezoid or kite
• 5Quadrilaterals mixed review

Skills · practice coming soon

• 1Write ratios and extended ratios
• 2Solve proportions using cross products
• 3Solve extended ratio problems in geometric figures
• 4Solve proportions with algebraic expressions

Skills · practice coming soon

• 1Identify similar polygons and write similarity statements
• 2Find the scale factor of similar polygons
• 3Find missing measures in similar polygons
• 4Use the perimeters of similar polygons
• 5Decide whether two polygons are similar

Skills · practice coming soon

• 1Identify similar triangles using AA, SSS, and SAS similarity
• 2Find missing measures using similar triangles
• 3Use similar triangles to solve indirect measurement problems
• 4Prove triangles similar
• 5Establish the AA criterion using similarity transformations
• 6Similar triangles mixed review

Skills · practice coming soon

• 1Use the Triangle Proportionality Theorem
• 2Use the converse of the Triangle Proportionality Theorem
• 3Use the Triangle Midsegment Theorem
• 4Use proportional parts with parallel lines and transversals
• 5Prove the Triangle Proportionality Theorem

Skills · practice coming soon

• 1Use proportional perimeters and special segments of similar triangles
• 2Use the Triangle Angle Bisector Theorem
• 3Prove relationships involving special segments of similar triangles

Skills · practice coming soon

• 1Identify dilations and their scale factors
• 2Verify that a dilation produces a similar figure
• 3Verify the properties of dilations of lines and segments
• 4Use similarity transformations to decide whether figures are similar

Skills · practice coming soon

• 1Interpret scale drawings and scale models
• 2Find actual and scale measures using a scale factor
• 3Construct a scale drawing or model

Skills · practice coming soon

• 1Find the geometric mean of two numbers
• 2Identify similar right triangles formed by the altitude to the hypotenuse
• 3Use the Geometric Mean (Altitude) and (Leg) Theorems
• 4Prove the Pythagorean Theorem using similar triangles

Skills · practice coming soon

• 1Find a missing side length using the Pythagorean Theorem
• 2Identify Pythagorean triples
• 3Use the converse of the Pythagorean Theorem to classify triangles
• 4Pythagorean Theorem word problems
• 5Identify mistakes in applying the Pythagorean Theorem
• 6Pythagorean Theorem mixed review

Skills · practice coming soon

• 1Find side lengths in 45-45-90 triangles
• 2Find side lengths in 30-60-90 triangles
• 3Find missing measures in special right triangles given any side
• 4Special right triangles in the coordinate plane and word problems
• 5Identify mistakes with special right triangles

Skills · practice coming soon

• 1Write sine, cosine, and tangent ratios for acute angles
• 2Explain why trigonometric ratios depend only on the angle
• 3Use trigonometric ratios to find side lengths
• 4Use inverse trigonometric ratios to find angle measures
• 5Use the relationship between sine and cosine of complementary angles
• 6Solve a right triangle
• 7Trigonometry mixed review

Skills · practice coming soon

• 1Identify angles of elevation and depression in a diagram
• 2Solve problems involving angles of elevation
• 3Solve problems involving angles of depression
• 4Solve two-angle elevation and depression problems

Skills · practice coming soon

• 1Use the Law of Sines to find missing measures
• 2Use the Law of Cosines to find missing measures
• 3Choose the Law of Sines or the Law of Cosines to solve a triangle
• 4Derive the area formula A = ½ab sin(C)
• 5Prove the Law of Sines and the Law of Cosines

Skills · practice coming soon

• 1Represent vectors and find their magnitude and direction
• 2Add and subtract vectors
• 3Multiply a vector by a scalar and find resultants
• 4Solve problems involving velocity and other vector quantities

Skills · practice coming soon

• 1Draw the reflection of a figure in a line
• 2Reflect figures in the coordinate plane across the axes and the lines y = x and y = -x
• 3Write the coordinate rule for a reflection
• 4Define a reflection in terms of perpendicular bisectors
• 5Construct a reflection with compass and straightedge

Skills · practice coming soon

• 1Draw the translation of a figure along a vector
• 2Translate figures in the coordinate plane using a rule
• 3Write the rule and vector for a translation from a figure and its image
• 4Define a translation in terms of parallel lines and segments

Skills · practice coming soon

• 1Draw the rotation of a figure about a point
• 2Rotate figures in the coordinate plane by 90°, 180°, and 270°
• 3Write the coordinate rule for a rotation about the origin
• 4Define a rotation in terms of angles and circles
• 5Identify the rotation that maps a figure onto its image

Skills · practice coming soon

• 1Draw a glide reflection and other compositions
• 2Describe a composition of reflections as a translation or rotation
• 3Specify a sequence of rigid motions that maps one figure onto another
• 4Compare transformations that preserve distance and angle with those that do not
• 5Use rigid motions to decide whether two figures are congruent
• 6Explain how triangle congruence criteria follow from rigid motions

Skills · practice coming soon

• 1Identify lines of symmetry in two-dimensional figures
• 2Identify rotational symmetry and its order and magnitude
• 3Describe the rotations and reflections that carry a polygon onto itself
• 4Identify plane and axis symmetry in three-dimensional figures

Skills · practice coming soon

• 1Draw a dilation with a given center and scale factor
• 2Dilate figures in the coordinate plane centered at the origin
• 3Find the scale factor and center of a dilation
• 4Verify experimentally that a dilation maps a line to a parallel line or itself
• 5Classify transformations as rigid motions or dilations
• 6Transformations mixed review

Skills · practice coming soon

• 1Identify and name parts of a circle
• 2Explain the circumference formula and find circumference
• 3Find the circumference of circles in the coordinate plane
• 4Explain why all circles are similar
• 5Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle

Skills · practice coming soon

• 1Identify central angles, major arcs, minor arcs, and semicircles
• 2Find arc measures using central angles and the Arc Addition Postulate
• 3Find arc length
• 4Use congruent arcs in congruent circles
• 5Derive the arc length formula using proportional reasoning

Skills · practice coming soon

• 1Use the relationship between congruent arcs and congruent chords
• 2Use a diameter perpendicular to a chord
• 3Use chords equidistant from the center
• 4Find measures using arcs, chords, and diameters with algebra

Skills · practice coming soon

• 1Find the measure of an inscribed angle and its intercepted arc
• 2Use inscribed angles that intercept the same arc
• 3Use inscribed angles that intercept a semicircle
• 4Find angle measures in inscribed quadrilaterals
• 5Prove the Inscribed Angle Theorem and properties of inscribed quadrilaterals

Skills · practice coming soon

• 1Identify tangents and use the tangent-radius perpendicularity
• 2Use tangent segments from an external point
• 3Solve problems involving circumscribed polygons
• 4Construct a tangent to a circle from a point outside the circle

Skills · practice coming soon

• 1Find measures of angles formed by chords intersecting inside a circle
• 2Find measures of angles formed by a tangent and a chord
• 3Find measures of angles formed by secants and tangents intersecting outside a circle
• 4Choose the correct angle relationship in a circle

Skills · practice coming soon

• 1Use the intersecting chords theorem to find segment lengths
• 2Use the secant segments theorem
• 3Use the secant-tangent segment theorem
• 4Prove segment relationships in circles using similar triangles

Skills · practice coming soon

• 1Write the equation of a circle given its center and radius
• 2Graph a circle from its equation
• 3Write the equation of a circle from a graph or from its center and a point
• 4Complete the square to find the center and radius of a circle
• 5Derive the equation of a circle using the Pythagorean Theorem
• 6Determine whether a point lies on a circle
• 7Write the equation of a line tangent to a circle at a point
• 8Derive the equation of a parabola from its focus and directrix
• 9Circles mixed review

Skills · practice coming soon

• 1Find the area of parallelograms and triangles using base and height
• 2Find the height of a parallelogram or triangle using right-triangle relationships
• 3Find areas of parallelograms and triangles in the coordinate plane
• 4Find missing dimensions from area

Skills · practice coming soon

• 1Find the area of trapezoids
• 2Find the area of rhombi and kites using diagonals
• 3Find missing measures of trapezoids, rhombi, and kites from area
• 4Areas of quadrilaterals word problems

Skills · practice coming soon

• 1Explain the area formula for a circle and find areas
• 2Find the area of a sector
• 3Find the central angle or radius from a sector area
• 4Derive the formula for the area of a sector
• 5Define radian measure as the ratio of arc length to radius

Skills · practice coming soon

• 1Find the apothem and area of a regular polygon
• 2Find the area of regular polygons using special right triangles and trigonometry
• 3Find the area of composite figures
• 4Apply density based on area
• 5Areas of composite figures word problems

Skills · practice coming soon

• 1Find the ratio of areas of similar figures from the scale factor
• 2Find areas of similar figures using scale factors
• 3Find scale factors or missing measures given the areas of similar figures
• 4Areas mixed review

Skills · practice coming soon

• 1Draw isometric views of three-dimensional figures
• 2Identify cross sections of three-dimensional figures
• 3Identify the solid generated by rotating a two-dimensional figure

Skills · practice coming soon

• 1Find the lateral area and surface area of prisms
• 2Find the lateral area and surface area of cylinders
• 3Find a missing dimension from the surface area of a prism or cylinder
• 4Surface area of prisms and cylinders word problems

Skills · practice coming soon

• 1Find the lateral area and surface area of regular pyramids
• 2Find the lateral area and surface area of cones
• 3Find the slant height or a missing dimension of a pyramid or cone
• 4Surface areas of pyramids and cones word problems

Skills · practice coming soon

• 1Find the volume of right prisms and cylinders
• 2Find the volume of oblique prisms and cylinders using Cavalieri's principle
• 3Give an informal argument for the volume formula of a cylinder
• 4Find a missing dimension from the volume of a prism or cylinder
• 5Volumes of prisms and cylinders word problems

Skills · practice coming soon

• 1Find the volume of pyramids
• 2Find the volume of cones
• 3Give an informal argument for the volume formulas of pyramids and cones
• 4Volumes of pyramids and cones word problems

Skills · practice coming soon

• 1Find the surface area of spheres and hemispheres
• 2Find the volume of spheres and hemispheres
• 3Find the radius from the surface area or volume of a sphere
• 4Find volumes of composite solids
• 5Apply density based on volume
• 6Give an informal argument for the volume of a sphere using Cavalieri's principle
• 7Surface area and volume mixed review

Skills · practice coming soon

• 1Describe sets of points on a sphere
• 2Compare Euclidean and spherical geometry

Skills · practice coming soon

• 1Identify congruent and similar solids
• 2Use the ratios of surface areas and volumes of similar solids
• 3Solve problems involving similar solids

Skills · practice coming soon

• 1Represent a sample space using lists, tables, and tree diagrams
• 2Use the Fundamental Counting Principle
• 3Describe events as subsets of a sample space using and, or, and not

Skills · practice coming soon

• 1Count arrangements using permutations
• 2Count selections using combinations
• 3Find probabilities using permutations and combinations

Skills · practice coming soon

• 1Find probabilities using lengths
• 2Find probabilities using areas
• 3Find probabilities using sector areas and angle measures

Skills · practice coming soon

• 1Design a simulation to estimate a probability
• 2Summarize and interpret the results of a simulation

Skills · practice coming soon

• 1Identify independent and dependent events
• 2Find probabilities of independent events
• 3Find probabilities of dependent events
• 4Find conditional probabilities
• 5Decide whether two events are independent using probabilities

Skills · practice coming soon

• 1Find probabilities of mutually exclusive events
• 2Find probabilities of events that are not mutually exclusive using the Addition Rule
• 3Find probabilities of complements
• 4Interpret the Addition Rule in the context of a model
• 5Probability mixed review