Geometry Midyear Exam Review 1. Triangle ABC has vertices A(-2, 2), B(0, 6), and C(7, 5). a) If # # # # is an altitude, find its length. b) # # # # is the midsegment parallel to # # # # . Find the coordinates of X and Y. 2. Triangle DEF has vertices D(2, -4), E(5, 0), and F(-2, 2). Put the angles D, E, and F in order from smallest to largest. 3. In the diagram to the right, solve for x. 4. Which of the following represent a line that intersects the line 2y + 3 = 5x? A. = * + + ./ + B. 5 − 2 = 6 C. −1= * + ( + 4) D. =− 8 + + * + 5. Which of the following represent a line perpendicular to y = 2x + 7? I. y = 2x - 7 II. y = − 9 + − / + III. +5=− 9 + ( + 3) A. I only B. II only C. II and III D. None of the above 6. Point P partitions directed segment # # # # in the ratio of 3:4. If A is at (-9,-9) and B is (5,-2), find the coordinates of P. A. (-3, -7) B. (-3, -6) C. (-6, -6) D. (-4, -6) 7. Point P divides # # # # so that ;< <= = 9 > . If point A lies at (2, 7) and P lies at (4, 6), find the coordinates of Point B. A. (2.4, 6.8) B. (12, 2) C. (12, 12) D. (3.6, 6.2) 8. a. Draw a rhombus and name it ABCD. Why is your figure a rhombus? (Think about the definition of a rhombus) b. Draw diagonals # # # # and # # # # . What properties do the diagonals of a rhombus have? c. If two consecutive sides in a parallelogram are congruent, is the parallelogram a rhombus? Explain. 9. Use the properties of the diagonals and the definition of a rhombus to solve for variables m and n. 10. Find x
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Geometry Common Planning Midyear Review · Geometry Midyear Exam Review 1. Triangle ABC has vertices A(-2, 2), B(0, 6), and C(7, 5). a) If !"#### is an altitude, find its length.
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