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Geometry Quiz for Quadrilaterals and Polygons

Test your knowledge of shapes like squares, rectangles, rhombuses, and trapezoids in this comprehensive geometry quiz. Identify angles, sides, and types of quadrilaterals and polygons to ace your geometry knowledge!

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Geometry Quiz for Quadrilaterals and Polygons

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  1. ABCD is a Square. 1) m<3 = _____ 2) If AC = 10, DE = _____ 3) If AC = 8, BD = ______ 4) m<1 = ________ 100 45; 10; 4; 45 90; 10; 4; 90 A: B: 90; 5; 8; 45 45; 5; 4; 45 C: D:

  2. ABCD is a parallelogram 1) If m<DAB = 120, m<ABC = ____ 2) If AD = 4x - 5, BC = 3x + 2, find x 3) If m<1 = 40, m<2 = 35, m<DAB = ______ 200 120; 1; 75 120; 7; 75 A: B: 60; -3; 105 60; 7; 105 C: D:

  3. ABCD is a rectangle. 1) If m<1 = 40, m < 3 = ______ 2) If AC = 12, DE = ________ 3) m<1 = 36, m<5 = ______ 300 40; 6; 72 40; 12; 36 A: B: 100; 12; 49 120; 6; 36 C: D:

  4. ABCD is a rhombus. 1) m<1 = 43, m<2 = _____ 2) m<1 = 40, m<3 = ______ 3) AC = 20, AE = ______ 500 47; 50; 20 43; 50; 10 A: B: 43; 40; 10 43; 50; 20 C: D:

  5. 1) What is the measure of one interior angle of a regular 12-gon? 2) What is the measure of one exterior angle of a regular nonagon? 1000 150; 360 150; 40 A: B: 1800; 40 180; 40 C: D:

  6. Based on the markings, what is the most specific name for quadrilateral? Why? 2000 Rhombus Square A: B: Isosceles Trapezoid Rectangle C: D:

  7. ABCD is an isosceles trapezoid. 1) If AD = 3x + 4, BC = 4x - 6, x = _____ 2) If CD = 10, AB = 16, EF = _______ 3) If EF = 15, DC = 8, AB = ______ 4000 -10; 13; 12.5 7; 13; 22 A: B: 10; 13; 22 7; 6; 12.5 C: D:

  8. Parallelogram ABCD 1) x = ______ 2) y = ______ 3) AB = ______ 4) AD = ______ 8000 2.5; 1; 6.5; 10 5; 12; 14; -16 A: B: 5; 12; 14; 16 2.5; -1; 6.5; -10 C: D:

  9. Parallelogram ABCD 1) x = _______ 2) y = _______ 3) z = ______ 16,000 50; 6; 12 60; 12; 6 A: B: 150; 30; 12 50; 12; 6 C: D:

  10. The figure is a square. 1) x = ______ 2) y = ______ 32,000 25; 22 17.5 ; 25 A: B: 25; 17.5 22; 25 C: D:

  11. Rhombus 1) x = ______ 2) y = ______ 3) z = ______ 64,000 19; 43; 19 15; 35; 22 A: B: 19; 35; 15 35; 22; 19 C: D:

  12. Trapezoid ABCD 1) x = ______ 2) CD = ______ 3) AB = ______ 4) EF = ______ 125,000 10; 15; 25; 20 25; 55; 65; 45 A: B: 25; 45; 65; 55 15; 25; 35; 35 C: D:

  13. ABCD is an isosceles trapezoid 1) m<1 = 60; m<A = ______ 2) How did you find m<A? 3) If AD = 4x - 6 and CB = 2x + 8, x = _____ 250,000 60; corr. angles; 7 120, 180 - m<1; -10 A: B: 60; supplementary, 7 120; corr. angles; 7 C: D:

  14. TRUE OR FALSE: 1) Every rhombus is a square. 2) Every square is a rectangle. 3) The diagonals of a rhombus are always congruent. 4) The diagonals of an isosceles trapezoid are always congruent. 500,000 True, True, True, True True, False, True, False A: B: False, True, False, True False, True, False, False C: D:

  15. Order the steps for this Proof Correctly: 1,000,000 2, 3, 1, 4 2, 4, 1, 3 A: B: 2, 1, 3, 4 2, 3, 4, 1 C: D:

  16. 100 – 1 point (C) m< 3 = 90 DE = 5 BD = 8 m<ABC = 45°

  17. 200 – 2 points (D) m< ABC = 60 x = 7 M<DAB 105

  18. 300 – 3 points (A) m<3 = 40 DE = 6 m<5 = 72

  19. 500 – 4 points (B) m<2 = 43 m<3 = 50 AE = 10

  20. 1000 – 5 points (A) m< A = 60 Corresponding Angles are Congruent x = 7

  21. 2000 – 6 points (D) DE = 10 AB = 36 m<A = 81

  22. 4000 – 7 points (C) x = 10 EF = 13 AB = 22

  23. 8000 – 8 points ( C ) x = 5 y = 12 AB = 14 AD = 16

  24. 16,000 - 9 points (A) x = 50° y = 6 z = 12

  25. 32,000 – 10 points (D) x = 22 y = 25

  26. 64,000 – 11 points (B) x = 15 y = 35 z = 22

  27. 125,000 – 12 points (C) x = 25 CD = 45 AB = 55 EF =65

  28. 250,000 – 13 points (B) x = 14 DE = 51 AB = 102

  29. 500,000 – 14 points (D) False True False

  30. 1,000,000 – 15 points • (C) • Rhombus

  31. Great Job!!!! Thank you for playing!

  32. Homework • Pg 199 Chapter Test

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