Math Geometry 6 Quiz Review Key

Geometry Quiz Review Name: KEY 1. Name the vertices of polygon ABCDE. A, B, C, D, and E 2. Name the sides of polygon ABCDE. AB, BC, CD, DE, EA 3. Name all the diagonals of polygon ABCDE. AC, AD, AE, BD, BE, and CE 4. Give two other names for polygon ABCDE. polygon BCDEA, polygon CDEAB Decide whether the figure is a polygon. If not, state why not. If so, tell what type. 5. Yes, quadrilateral 6. No, each side must touch 2 other sides 7. No, each side can only touch 2 other sides 8. No, sides must be line segments 9. Yes, hexagon 10. Yes, heptagon Find the measure of the missing angle. 9. m< D = 77° 10. m< A = 75° Find the value of the variable. 11. x = 60 12. y = 60 13. (6y + 5)° + 120° + 94° + 81° = 360° 6y + 300 = 360 6y = 60 y = 10 JKLM is a parallelogram. Find JK and KL. 15. JK = 6 KL = 4 WXYZ is a parallelogram. Find the missing angle measures. 17. W = 75° X = 105° Y = 75° Z = 105° 18. W = 13° X = 50° Y = 13° Z = 50° Find the lengths. 19. Find GE and DF. GE = 6.2 DF = 11.4 20. Find GE and GF. GE = 11 GF = 9 Find the value of the variables. 21. y = 13 x = 44 22. x = 2 y = 3 23. 2x = 5y x = 2.5, y = 4 24. 3x - 1 = 14 3x = 15 x = 5 4y + 4 = 16 4y = 12 y = 3 25. 8y - 70 = 70 8y = 140 y = 17.5 2x + 10 = 110 2x = 100 x = 50 26. y = 125 x + 125 = 180 x = 55 27. MKFG is a parallelogram Hints: - Look for 2s - ∆ = 180° m∠1 = 80° m∠2 = 120° m∠KFG = 60° m∠G = 60° MK = 11 KG = 7 28. AENS is a parallelogram Hints: - vertical angles - ∆ = 180° - Look for 2s m∠1 = 35° m∠2 = 58° m∠3 = 71° m∠4 = 103° AT = 12 AS = 15 NE = 30 Tell whether the quadrilateral is a parallelogram. Explain why or why not. 32. Yes, opposite angles are equal. 33. Yes, opposite sides are equal. 34. No, opposite angles are not equal. 35. No, not enough information. 36. Yes, diagonals bisect each other. 37. No, diagonals do not bisect each other. 38. Yes, consecutive angles are supplementary. 39. Yes, opposite angles are congruent. Plot the points given and connect them to make a quadrilateral. Use slopes to show if the quadrilateral is a parallelogram. 40. A(0, 1), B(1, 3), C(5, 3), D(4, 1) Slope of AB: m = 2 Slope of BC: m = 0 Slope of CD: m = -2 Slope of DA: m = 0 Opposite sides have the same slopes, so they are parallel and it is a parallelogram. 41. A(3, 2), B(-2, 2), C(-3, -1), D(1, -1) Slope of AB: m = 0 Slope of BC: m = 3 Slope of CD: m = 0 Slope of DA: m = 2 Slopes of BC and DA are not equal, so they are not parallel.