MATH 8 CUA REVIEWER 1. In the figure below, line m is parallel to line n, and line t is a transversal crossing both m and n. Which of the following lists has 3 angles that are all equal in measure? A. B. C. D. E. ∠a, ∠b, ∠d B. ∠a, ∠c, ∠d C. ∠a, ∠c, ∠e D. ∠b, ∠c, ∠d E. ∠b, ∠c, ∠e 2. Angles A and B are complementary and the measure of angle A is twice the measure of angle B. Find the measures of angles A and B, 3. Find the measure of angle A in the figure below. 4. ABC is a right triangle. AM is perpendicular to BC. The size of angle ABC is equal to 55 degrees. Find the size of angle MAC. 5. Find the size of angle MBD in the figure below. 6. ABC is a right triangle with the size of angle ACB equal to 74 degrees. The lengths of the sides AM, MQ and QP are all equal. Find the measure of angle QPB. 7. As shown in the figure below, ∆ABC is isosceles with the length of AB equal to the length of AC. The measure of ∠A is 40° and points B, C, and D are collinear. What is the measure of ∠ACD ? A. B. C. D. E. 70° B. 80° C. 110° D. 140° E. 160° 8. If the measure of the exterior angle is (3x - 10) degrees, and the measure of the two remote interior angles are 25 degrees and (x + 15) degrees, find x. 9. Find the value of the interior angle. 10.If M is the midpoint of AB , AM = x2 + 24 and MB = 10x, find the length of AB . 11. PR bisects ST at Q. PQ = 4x + 12, QR = 9x – 13, SQ = 6x – 5 and QT = 3x + 16. Find the length of PR . 12. Given: MATH , A is the midpoint of MT , MH = 21 and AH = 15. Find TH. Complete the following proof by filling in the blanks. 13. Given: Angle 1 and Angle 2 are supplementary Prove: n is parallel to m Statements Reasons 1) Angle 1 and Angle 2 are supplementary. 1)______________________ 2) Angle 1 and Angle 3 are a linear pair. 2)______________________ 3)_____________________________ 3) 4)_____________________________ 4) 5) n is parallel to m. 5) ______________________ If A,B,C, and D are points on a line, in the given order, and AB=CD, then AC=BD. Statements Reasons Given: BF−→ bisects ∠ABC; ∠ABD≅∠CBE Prove: ∠DBF≅∠EBF Statements Reasons Given: YX WX ≅ ZX bisects ∠YXW Prove: YZ ≅ WZ Statements Reasons