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Honors Geometry Chapter 5 Review Name_________________________ Date______________Period_______ In problems 1-5, choose the correct answer. 1. Which of the following are equiangular quadrilaterals? a) parallelogram and rectangle b) trapezoid and rhombus c) square and rhombus d) square and rectangle e) none of these 1. _______________ 2. If two parallel lines are cut by a transversal, then the bisectors of a pair of interior angles on the same side of the transversal are _?__. a) // b) // c) d) supplementary e) complementary 2. _______________ 3. What is the most descriptive name for the quadrilateral MARY? a) parallelogram b) rectangle c) rhombus d) square e) kite 4. Which of the following statements is not always true? a) The diagonals of an isosceles trapezoid are congruent. b) The diagonals of a parallelogram bisect the angles of the parallelogram. c) The diagonals of a kite divide it into four right triangles. d) The diagonals of a rhombus divide it into four congruent right triangles. f) The diagonals of a square divide it into four congruent isosceles right triangles. 3. _______________ 4. ________________ 5. Which of the following is not sufficient to prove a quadrilateral a parallelogram? a) Show opposite sides parallel. b) Show opposite angles congruent. c) Show opposite sides congruent. d) Show one pair of opposite sides congruent and one pair of opposite sides //. 5. ______________ e) Show the diagonals bisect each other. 6. Write a valid inequality and find the restrictions on x. 7. Find m B 8. EASY is an isosceles trapezoid With bases EY and AS. Find AS 9. KITE is a kite. 1=6x 2 = x+20 Find the measure of IKE. Solve problems 10 and 11 by referring to the diagram and the information given. STOP is a rhombus. 10. Find the coordinates of V. 10. _______________ 11. Find the slope of SO . 11. _______________ 12. p // q 1=2x+20 2 =3x-50 Find the measure of 3 . 12. ________________ Complete the table below by placing yes or no in each empty space. Kite Isosceles Trapezoid Parallelogram Rhombus Each pair of opposite sides // Opposite sides Opposite ' s Diagonals bisect each other Diagonals Diagonals No Rectangle Solve problems 14-16 by referring to the diagram and the information given. FLAG is a square with a circle inscribed within. 13. Find the coordinates of the center of the circle. 13. _______________ 14. Find the circumference of the circle, Leave your answer in terms of Pi 14. _______________ 15.Which has the greater perimeter, the circle or the square? 15. _______________ In problem 16, write an indirect proof 16. Given: PIG is scalene PT is an altitude to IG. Prove: PT is not the median to IG. 16. Proof: 17. Given: AE // BD 2 3 Prove: EAD is isos. Statement 1. _________________________________ Reason 1. _________________________________ 2. _________________________________ 2. _________________________________ 3. _________________________________ 3. _________________________________ 4. _________________________________ 4. _________________________________ 5. _________________________________ 5. _________________________________ 6. _________________________________ 6. _________________________________ 7. _________________________________ 7. _________________________________