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Test Review Angle Measure and Transversals MT3 Name __________________________ I. Definitions. Students must match each word to its picture on the test. a. Congruent angles ___1. Opposite angles with the same measure. b. Vertex ___2. Lines that intersect, forming four 90 degree angles c. Right Angle ___3. An angle with a measure less than 90 degrees d. Linear Pair ___4. The sum of two angles equals 180 degrees e. Obtuse Angle ___5. A segment or ray that divides an angle into two congruent angles f. Complementary ___6. Adjacent angles that form a straight line g. Acute Angle ___7. The sum of two angles is 90 degrees h. Supplementary ___8. An angle with a measure greater than 90 degrees i. Perpendicular Lines ___9. Angles that share a side and vertex, but share no interior points j. Angle Bisector ___10. Angles with the same measure k. Adjacent Angles ___11. An angle with a measure of 90 degrees l. Straight angle ___12. An angle with a measure of 180 degrees formed by opposite rays m. Vertical Angles ___13. The common endpoint of an angle *There will be a section of the test where students must look at a figure and decide if statements are true or an assumption. For example, the statement an angle is 90 degrees can only be true without protractor measure if the right angle box is inside the angle. Also, two segments are only congruent without ruler measure if congruency is indicated on the figure. Name a pair of vertical angles. Name the following angles in 4 different ways 14. 15. 1._________ 2._________ 3._________ 4._________ 16. Identify the following: 1._________ 2._________ 3._________ 4._________ vertex: _______ sides: ________ III. Measure and classify the following angles using your protractor: 17. 18. 19. ______ _______ ______ _____ ______ ______ IV. Given: AD intersects BC at E. Find x and < AEB. 20.) m < AEB = 7x + 3 m < CED = 52 x = ______ m < AEB = ______ 21.) m < AEC = 2x m < CED = 76 x = ______ m < AEB = ______ Test Review Angle Measure and Transversals MT3 Name __________________________ Given < ABC, Find x and m < ABC. 22.) m < ABD = 30 23.) m < ABC = 18x m < DBC = 3x m < ABD = 15x m < ABC = 9x m < CBD = 39 x = ______ x = ______ m < ABC = ______ m < ABC = ______ Given BD bisects < ABC, find x and the desired angle. 24.) m < ABD = 5x m < CBD = 35 x = ______ m < ABC = ______ 25.) m < ABD = 6x m < CBD = 3x + 36 x = ______ m < ABC = ______ Given < ABC is a right angle. Find x. 26.) m < ABF = 8x m < CBF = 7x x = ______ 27.) m < CBD = x + 28 m < EBD = 32 x = ______ Find x and m < CBD. 28.) m < ABE = 9x m < EBD = 12x m < CBD = 15x x = ______ m < CBD= ______ 29.) m < ABE = 49 m < CBD = 6x + 1 m < EBD = 94 x = ______ m < CBD = ______ Solve. 30.) An angle is twelve more than two times twenty-six. What is the angle’s complement?___ 31.) The supplement of an angle is thirty-two more than two times fifty-eight. What is the angle? __ Identify all possible of the following relationships. 32.) Corresponding Angles: 33.) Alternate Interior Angles: 34.) Alternate Exterior Angles: 35.) Same-Side Interior Angles: Test Review Angle Measure and Transversals MT3 Find the complement and the supplement of <S. Name __________________________ 36.) Solve for the variable in question using the angle postulates and theorems. 37.) 38.) 39.) 40.) 41.) 42.) Use the Protractor given to find the measures of the following angles. 43.) m<DEB = ______________ 44.) m<AEB = ______________ 45.) m<CEB = ______________ Review Solve for x and AB, if B is the midpoint of AC. 46.) AB = 4x + 8 BC = 184 x = ______ AB = ______ 47.) Find the length of diagonal BC of ABCD to the nearest hundredth. Circle the correct answer. Find the midpoint. 48.) A (3,5) B (7, 9) mdpt = _____