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geometry Study online at https://quizlet.com/_6skqdh 1. Figure ABCD is a parallelogram. What is the value of p? 6 2. Figure LMNO is a parallelogram. What is the value of x? 20 3. Figure CDEF is a parallelogram. Which measures are correct? Check all that apply. n = 10 CF = 59 FE = 42 4. Figure ABCD is a parallelogram. What are the measures of angles B and D? A. B = 55°; D = 55° 5. Figure PQRS is a parallelogram. The expres- sions represent the measures of the angles in degrees. What is the value of x? 20 6. Figure JKLM is a parallelogram. The mea- sures of line segments MT and TK are shown. What is the value of y? 7 7. The parallelogram shown represents a map of the boundaries of a natural preserve. Walking trails run from points A to C and from points B to D. The measurements shown represent miles. What is the sum of the lengths of the two trails? 16 miles 8. A plot of land is in the shape of a parallelo- gram with the dimensions shown. 68 feet 1 / 20

geometry Study online at https://quizlet.com/_6skqdh How many feet of fencing are needed to enclose the lot? 9. Figure ABCD is a parallelogram. What are the measures of angles B and C? B. B = 65°; C = 115° 10. Figure ABCD is a parallelogram. What is the perimeter of ABCD? 44 unit 11. What is the perimeter of parallelogram LMNO? 80 12. The perimeter of parallelogram ABCD is 46 inches. What is DA? 4 13. What is the measure of angle O in parallelo- gram LMNO? 105 14. In parallelogram ABCD, what is DC? 13 15. In parallelogram PQSR, what is PQ? 9 16. Given: AB E CD and AD E BC Prove: ABCD is a parallelogram. What is the missing reason in step 3? SSS congruency theorem 17. In parallelogram LMNO, what are the values of x and y? x = 55, y = 14 18. What is the measure of angle L in parallelo- gram LMNO? m L = 40 19. Which best explains if quadrilateral WXYZ can be a parallelogram? 2 / 20

geometry Study online at https://quizlet.com/_6skqdh WXYZ is not necessarily a parallelogram because it is unknown if WC = CY. 20. Given: AD E BC and AD % BC Prove: ABCD is a parallelogram. What is the missing reason in step 6? CPCTC 21. Consider the diagram and proof below. Given: WXYZ is a parallelogram, ZX E WY Prove: WXYZ is a rectangle What is the missing reason in Step 7? consecutive s in a ± are sup- plementary 22. A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal? 41 units 23. Rectangle PQRS is shown with its diago- nals, PR and QS. What type of triangle is ³STR? isosceles triangle 24. Figure ABCD is a parallelogram. If ABCD is also a rhombus, what must be the value of x? 13 25. What is the approximate side length of the square? 4.2 units 26. Rhombus LMNO is shown with its diago- nals. The length of LN is 28 centimeters. What is the length of LP? 14 27. 13 3 / 20

geometry Study online at https://quizlet.com/_6skqdh ABCD is a square. What is the length of line segment DC? 28. A quilt piece is designed with four congru- ent triangles to form a rhombus so that one of the diagonals is equal to the side length of the rhombus. Which measures are true for the quilt piece? Check all that apply. a = 60° The perimeter of the rhom- bus is 16 inches. The length of the longer di- agonal is approximately 7 inches. 29. The figure shown is a rhombus. Which equation is true regarding the angles formed by the diagonals and sides of the rhombus? x + y = z 30. The perimeter of the rectangle is 146 units. What is the length of the longer side? 45 units 31. Rectangle PQRS is shown with its diago- nals, PR and QS. What type of triangle is ³STR? isosceles triangle 32. TREC is a rectangle. What is the length of ET? 34 units 33. Which statements are true of all squares? Check all that apply. The diagonals are perpen- dicular. The diagonals are congruent to each other. The diagonals bisect the ver- tex angles. The diagonals bisect each other. 4 / 20

geometry Study online at https://quizlet.com/_6skqdh 34. The figure is a square. Its diagonals meet to form four right angles. What is the approxi- mate value of x? 5.7 35. The figure is a parallelogram. One diagonal measures 28 units. No, it is not a rectangle be- cause the sides of the paral- lelogram do not meet at right angles. 36. Consider kite ABCD. What are the values of x and y? x = 5, y = 22 37. Right trapezoid WXYZ is shown. What is the measure of angle WXY? 107° 38. If KM is drawn on this quadrilateral, what will be its length? 18 units 39. A kite has a perimeter of 70 centimeters. One of the shorter sides measures 16 cen- timeters. What are the lengths of the other three sides? 16 centimeters, 19 centime- ters, and 19 centimeters 40. Which quadrilateral is a kite? B 41. Given: JKLM is an isosceles trapezoid, KL % JM Prove: KM E JL What is the missing reason in step 4? base angles theorem 42. A kite has a perimeter of 108 feet. One of the longer sides measures 30 feet. What are the lengths of the other three sides? 24 feet, 24 feet, 30 feet 43. 5 / 20

geometry Study online at https://quizlet.com/_6skqdh If quadrilateral PQRS is a kite, which state- ments must be true? Check all that apply. QP E QR PM E MR QPS E QRS 44. The diagram shows quadrilateral MNPQ. What is the length of line segment MQ? 11 units 45. A town planner wants to build two new streets, Elm Street and Garden Road, to con- nect parallel streets Maple Drive and Pine Avenue. In trapezoid EFGH, EF E HG. What is the mea- sure of the angle between Elm Street and Pine Avenue? 72° 46. Which statement proves that quadrilateral JKLM is a kite? LM = JM = 3 and JK = LK = . 47. In the diagram, WZ = square root 26 The perimeter of parallelogram WXYZ is + 8 units. 48. The vertices of a quadrilateral in the coordi- nate plane are known. How can the perime- ter of the figure be found? Use the distance formula to find the length of each side, and then add the lengths. 49. In the diagram, DG % EF. What additional information would prove that DEFG is an isosceles trapezoid? DE E GF 50. In the diagram, KL = 2 square root 2 , LM = square root 5, and MN = square root 2 . What is the perimeter of isosceles trapezoid KLMN? C. 3 square root 2 + 2 square root 5 units 51. In the diagram, AB = 10 and AC = 2 square root 10. What is the perimeter of ³ABC? D. 20 + 2 square root 10 units 6 / 20

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