Capter 6 Review Sheet. 1. Given the diagram, what postulate or theorem would be used to prove that AP = CP?

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1 apter 6 Review Sheet Name: ate: 1. Given the diagram, what postulate or theorem would be used to prove that P = P? 4.. S. SSS.. SS 2. Given the diagram, what postulate or theorem would be used to prove that m P = m P = 90?. S. SSS.. SS Quadrilateral PROM is a parallelogram with MR PO and ROP complementary to POM. Which of the following statements is true? I. Quadrilateral PROM is a rhombus II. Quadrilateral PROM is a square III. Quadrilateral PROM is a rectangle. II only. III only. I and II. I, II, and III 5. In the diagram below of parallelogram ROK, m is 70 and m ROS is What is m KSO? Quadrilateral PRK is a parallelogram with PK complementary to KR. Which of the following statements is true? I. Quadrilateral PRK is a rhombus If is a parallelogram, which statement would prove that is a rhombus? II. Quadrilateral PRK is a square III. Quadrilateral PRK is a rectangle. =... =. I only. II only. III only. II and III page 1

2 7. In the diagram of rhombus PQRS below, the diagonals PR and QS intersect at point T, PR = 16, and QS = 30. etermine and state the perimeter of PQRS. 10. In quadrilateral LUE shown below, E = UL. Which information would be sufficient to prove quadrilateral LUE is a parallelogram?.. L EU. LU E E = L. LU = EU 8. Isosceles trapezoid has bases and with nonparallel legs and. Segments E, E, E, and E are drawn in trapezoid such that E = E, E E, and E E. 11. Quadrilateral PQRS has vertices P(2, 3), Q(3, 8), R(4, 1), and S(1, 4). Prove that PQRS is a rhombus. Prove that PQRS is not a square. Prove E = E and prove E is an isosceles triangle. 9. Which set of statements would describe a parallelogram that can always be classified as a rhombus? I. iagonals are perpendicular bisectors of each other. II. iagonals bisect the angles from which they are drawn. III. iagonals form four congruent isosceles right triangles. 12. Given: Trapezoid JKLM with JK ML. Using a compass and straightedge, construct the altitude from vertex J to ML.. I and II. I and III. II and III. I, II, and III page 2 apter 6 Review Sheet

3 13. In the diagram below, if E = F and EF is drawn, then it could be proven that quadrilateral is a 17. In parallelogram QRST shown below, diagonal TR is drawn, U and V are points on TS and QR, respectively, and UV intersects TR at W.. square. rhombus. rectangle. parallelogram 14. parallelogram is always a rectangle if. the diagonals are congruent. the diagonals bisect each other. the diagonals intersect at right angles. the opposite angles are congruent 15. The diagonals of rhombus TEM intersect at P(2, 1). If the equation of the line that contains diagonal T is y = x + 3, what is the equation of a line that contains diagonal EM?. y = x 1. y = x 3. y = x 1. y = x In the diagram below, is a parallelogram, is extended through to E, and E is drawn. If m S = 60, m SRT = 83, and m TWU = 35, what is m WVQ? If the diagonals of a parallelogram are perpendicular but not congruent, then the parallelogram is. a rectangle. a rhombus. a square. an isosceles trapezoid 19. In quadrilateral, m = 72, m = 94, and m = 113. What is m? Which quadrilateral must have congruent diagonals?. trapezoid. rectangle. rhombus. parallelogram If E = E and m = 112, what is m E? 21. In the accompanying diagram, is a rhombus and m E = 110. Find m F page 3 apter 6 Review Sheet

4 22. In the diagram of trapezoid below, diagonals and intersect at E and =. 25. In rhombus, with diagonals and, = 10. Which statement is true based on the given information?.. =. E =. = = 23. If the length of each side of a square is represented by 4x + 1, which expression represents the perimeter? If the length of diagonal is 12, what is the length of? x x x x 2 + 8x In the diagram below of trapezoid RSUT, RS TU, X is the midpoint of RT, and V is the midpoint of SU. 26. Which property is not true for all parallelograms?. Opposite angles are congruent.. onsecutive angles are supplementary.. Opposite sides are congruent.. iagonals are congruent. 27. Which statement is always true?. square is a rhombus.. parallelogram is a square. If RS = 30 and XV = 44, what is the length of TU? rhombus is a rectangle.. rectangle is a rhombus. 28. quadrilateral whose diagonals do not always bisect each other is. an isosceles trapezoid. a rectangle. a square. a rhombus page 4 apter 6 Review Sheet

5 29. The sum of the measures of the interior angles of a pentagon is 33. The pentagon in the diagram below is formed by five rays The number of degrees in the measure of one exterior angle of a regular pentagon is If the sum of the interior angles of a polygon is equal to the sum of the exterior angles, how many sides does the polygon have? What is the sum of the measures of the exterior angles of a regular pentagon? What is the degree measure of angle x? page 5 apter 6 Review Sheet

6 Problem-ttic format version c Educide Software Licensed for use by phelipedfernandes@gmail.com Terms of Use at apter 6 Review Sheet 2/7/ G.O.11 G.O.11 G.O.11 G.O [task] [proof]; [proof] [construction] G-O. G-O

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