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Name: _________________________________________ Date: ____________ Period/Alpha#: _____ Geometry Test 3 Review Use this review to check your knowledge and skills in each section that will be covered by the test. Most of the examples below are odd-numbered exercises in the Geometry textbook, so you can check the answers for them in the back of the book. (Selected Answers start at page 831.) Work the examples on a separate sheet of paper. Students should be able to: Examples: 8-1 The Pythagorean Theorem and Its Converse Page 420 Exercises: Find the length of a missing side of a right triangle. o The Pythagorean Theorem is _________________________ # 3, 5 (Leave your answer in simplest radical form) Classify a triangle as acute, obtuse, or right, given its side lengths. # 23, 24, 25 1-8 The Coordinate Plane Page 56 Exercises: Find the distance between two points on a coordinate plane. o The distance formula is ______________________________ # 1, 13 Find the coordinates of the midpoint of a segment. o The midpoint formula is ______________________________ # 19, 21 Given the midpoint and an endpoint of a segment, find the other endpoint. # 31 3-1 Properties of Parallel Lines Identify the following angle pairs in a diagram o Corresponding o Alternate Interior 1 o Alternate Exterior o Same-Side Interior o Same-Side Exterior o Vertical Angles o Linear Pair Use the diagram on the left. 3 7 5 4 2 6 8 Find angle measures by applying the Postulates and Theorems of parallel lines cut by a transversal. o If a transversal intersects two parallel lines, then Corresponding, Alternate Interior, and Alternate Exterior angles are _______________, while Same-Side Interior and Same-Side Exterior angles are _______________. 1 2 3 4 6 7 8 and and and and and and and 2 7 6 7 1 1 4 are are are are are are are __________ __________ __________ __________ __________ __________ __________ Pages 131-132 Exercises: # 11, 13, 15, 23, 25 3-2 Proving Lines Parallel Page 137 Exercises: # 5, 7 Find the values of angle pairs for which [two given lines] are parallel. 3-3 Parallel and Perpendicular Lines N/A 3-6 Lines in the Coordinate Plane Page 169 Exercises: Graph the line of [a given linear equation]. #3 Write [a given equation] in slope-intercept form and graph the line. o Slope-intercept form is ______________________________ # 15 Write an equation in point-slope form of the line that contains [a given point] and has [a given slope]. o Point-Slope form is _________________________________ # 27 Write an equation in point-slope form through [two given points]. o The slope formula is ________________________________ # 31 Write equations for the horizontal line and the vertical line that contains [the given point]. # 19 3-7 Slopes of Parallel and Perpendicular Lines Pages 177-178 Exercises: # 13 Write an equation for the line parallel to [a given line] that contains [a given point]. o Parallel lines have slopes that are _____________________ # 21 Write an equation for the line perpendicular to [a given line] that contains [a given point]. o Perpendicular lines have slopes whose product is _________ Review of previous units 1-5 Apply the Segment Addition Postulate and Definition of Midpoint. Page 33 # 11, 12, 13 1-6 Apply the Angle Addition Postulate and Definition of Angle Bisector Page 41 # 47 2-5 Use the properties of angle pairs to find angle measures: o Vertical angles are __________ o The angles in a Linear Pair are __________ o Supplementary angles add to _____ o Complementary angles add to _____ 1-1 Find the next terms in a sequence Page 6 # 11 2-1 Write the conditional statement illustrated by a Venn diagram. Page 84 # 33, 35 2-1 Write the converse of a conditional statement. Page 84 # 25 2-1 and 2-2 Determine the truth value of a conditional and its converse. If both are true, then combine them as a biconditional. If either is false, given a counterexample. Page 84-85 # 29, 41 5-4 Write the inverse and contrapositive of a conditional statement. Page 283 # 9 Page 47 # 9 Page 113 # 13, 31 Page 90 # 1, 3