AMSCO'S Geometry. New York - Rye High School

260 Transformations and the Coordinate Plane8. Which of the following always has a line of symmetry?(1) a right triangle (3) an isosceles triangle(2) a scalene triangle (4) an acute triangle9. In the coordinate plane, two points lie on the same vertical line. Which ofthe following must be true?(1) The points have the same x-coordinates.(2) The points have the same y-coordinates.(3) The points lie on the y-axis.(4) The points lie on the x-axis.10. Angle A and angle B are complementary angles. If mA x 42 andmB 2x 12, the measure of the smaller angle is(1) 20 (2) 28 (3) 62 (4) 88Part IIAnswer all questions in this part. Each correct answer will receive 2 credits.Clearly indicate the necessary steps, including appropriate formula substitutions,diagrams, graphs, charts, etc. For all questions in this part, a correct numericalanswer with no work shown will receive only 1 credit.11. The image of ABC under a reflection in the line y x is ADE. If thecoordinates of A are (2, b), what is the value of b? Explain your answer.12. What are the coordinates of the midpoint of a line segment whose endpointsare A(2, 5) and B(2, 3)?Part IIIAnswer all questions in this part. Each correct answer will receive 4 credits.Clearly indicate the necessary steps, including appropriate formula substitutions,diagrams, graphs, charts, etc. For all questions in this part, a correct numericalanswer with no work shown will receive only 1 credit.13. In quadrilateral ABCD, prove that ABC ADC if AEC is the perpendicularbisector of BED.14. The measure of R is 12 degrees more than three times the measure ofS. If S and R are supplementary angles, find the measure of eachangle.