Review for Quadrilateral Test 1. How many triangles are formed by drawing diagonals from one vertex in the figure? Find the sum of the measures of the angles in the figure. a. 6, 1080 b. 7, 1260 c. 7, 1080 d. 6, 1260 2. The sum of the measures of the interior angles of a convex quadrilateral is _. a. 180 b. 270 c. 360 d. 540 3. The measure of each interior angle of a regular hexagon is. a. 30 b. 120 c. 15 d. 60 4. The measure of each exterior angle of a regular octagon is.
a. 22.5 b. 67.5 c. 45 d. 135 Find the value of x. (The figure may not be drawn to scale.) 5. a. 51 b. 61 c. 49 d. 121 6. Find the measure of each exterior angle of a regular polygon with 24 sides. a. 360 b. c. d. 7. Find the measure of one of the interior angles of a regular polygon with ten sides. a. 144 b. 18 c. 36 d. 162 8. For parallelogram PQLM below, if 83, then. a. b. 83
c. 97 d. 9. Consecutive angles in a parallelogram are always. a. congruent angles b. complementary angles c. supplementary angles d. vertical angles 10. Choose the statement that is NOT ALWAYS true. For any parallelogram. a. the diagonals bisect each other b. opposite angles are congruent c. the diagonals are perpendicular d. opposite sides are congruent 11. Find the value of the variables in the parallelogram. a. x = 53, y = 11.5, z = 157 b. x = 11.5, y = 53, z = 157 c. x = 51, y = 23, z = 106 d. x = 23, y = 51, z = 106 12. If and find the values of x and y given that LMNO is a parallelogram. O N L M a. 11 2 ; 12 13 b. 3 2 ; 12 13 c. 2 3 ; 9 4 d. 11 2 ; 13 12 13. (2, 3) and (3, 1) are opposite vertices in a parallelogram. If (0, 0) is the third vertex, then the fourth vertex is _. a.
b. c. d. 14. Which statement is true? a. All rectangles are squares. b. All quadrilaterals are rectangles. c. All rectangles are quadrilaterals. d. All quadrilaterals are squares. 15. Choose the statement that is NOT ALWAYS true. For a rhombus. a. each diagonal bisects a pair of opposite angles b. all four sides are congruent c. the diagonals are congruent d. the diagonals are perpendicular 16. The diagonals of a parallelogram always _. a. are congruent b. are parallel c. bisect each other d. are perpendicular 17. Which statement is NOT always true of a rhombus? a. The diagonals are perpendicular to each other. b. The diagonals bisect each other. c. Each diagonal is longer than at least one side. d. The sum of the diagonals is less than the perimeter. 18. The coordinates of quadrilateral PQRS are P( 3, 0), Q(0, 4), R(4, 1), and S(1, 3). What best describes the quadrilateral? a. a rectangle b. a square c. a rhombus d. a parallelogram 19. If all four sides of a quadrilateral are congruent, the quadrilateral is. a. a kite b. a nonsquare rectangle c. a rhombus d. a trapezoid 20. What name best describes the quadrilateral? a. parallelogram
b. rhombus c. kite d. rectangle 21. Which statement is false? a. All squares are parallelograms. b. Some rhombuses are rectangles. c. All rhombuses are quadrilaterals. d. All parallelograms are rhombuses. 22. Which statement is false? a. Every square is a parallelogram. b. Some rhombuses are rectangles. c. Every rhombus is a quadrilateral. d. Every parallelogram is a rhombus. 23. Which statement is false? a. All squares are quadrilaterals. b. If a quadrilateral is a parallelogram, then it is a rectangle. c. If a quadrilateral is a square, then it is a parallelogram. d. All squares are parallelograms. 24. Find the length of RS a. RS = 5 c. RS = 15 b. RS = 10 d. RS = 20 25. Find the length of FD. a. 19 c. 21 b. 38 d. 26
Review for Quadrilateral Test Answer Section 1. ANS: A PTS: 1 DIF: Level B REF: MOT70179 KEY: diagonals sum interior angle measures of polygons BLM: Application 2. ANS: C PTS: 1 DIF: Level B REF: HLGM0440 KEY: sum quadrilateral interior angle measures of polygons BLM: Application 3. ANS: B PTS: 1 DIF: Level B REF: HLGM0441 KEY: regular polygon hexagon interior angle measures of polygons BLM: Application 4. ANS: C PTS: 1 DIF: Level B REF: HLGM0451 KEY: octagon regular polygon exterior angle measures of polygons BLM: Application 5. ANS: A PTS: 1 DIF: Level B REF: MLPA0713 KEY: exterior angle measures of polygons BLM: Application 6. ANS: C PTS: 1 DIF: Level B REF: GMPA0651 KEY: regular polygon exterior angle measures of polygons BLM: Application 7. ANS: A PTS: 1 DIF: Level B REF: AXGM0234 KEY: regular polygon interior angle measures of polygons BLM: Application 8. ANS: B PTS: 1 DIF: Level B REF: HLGM0457 KEY: angle measure parallelogram 9. ANS: C PTS: 1 DIF: Level A REF: MLGE0285 KEY: parallelogram consecutive interior angles property 10. ANS: C PTS: 1 DIF: Level B REF: MHST0010 KEY: property parallelogram 11. ANS: D PTS: 1 DIF: Level B REF: MHN90085 KEY: angle measure parallelogram diagonals BLM: Application
12. ANS: D PTS: 1 DIF: Level B REF: MLGE0400 KEY: side lengths parallelogram BLM: Application 13. ANS: D PTS: 1 DIF: Level B REF: MLGE0286 STA: MO.MOGCLE.MTH.07.GEO.G.2.A.1 TOP: Lesson 8.3 Show that a Quadrilateral is a Parallelogram KEY: vertices coordinates parallelogram BLM: Application 14. ANS: C PTS: 1 DIF: Level A REF: TASH0019 KEY: property quadrilateral geometric figure BLM: Knowledge 15. ANS: C PTS: 1 DIF: Level B REF: HLGM0475 KEY: property rhombus 16. ANS: C PTS: 1 DIF: Level A REF: MLGE0291 KEY: parallelogram bisect diagonal BLM: Knowledge 17. ANS: C PTS: 1 DIF: Level B REF: MC100124 KEY: property rhombus 18. ANS: B PTS: 1 DIF: Level B REF: HLGM0476 STA: MO.MOGCLE.MTH.07.GEO.G.2.A.1 KEY: coordinate geometry quadrilateral 19. ANS: C PTS: 1 DIF: Level A REF: MHST0017 KEY: property quadrilateral BLM: Knowledge 20. ANS: A PTS: 1 DIF: Level A REF: MIM10065 KEY: quadrilateral identify BLM: Knowledge 21. ANS: D PTS: 1 DIF: Level B REF: MIM20279 KEY: classify quadrilateral 22. ANS: D PTS: 1 DIF: Level B REF: MIM20280 KEY: classify quadrilateral 23. ANS: B PTS: 1 DIF: Level B REF: MIM20281 KEY: classify quadrilateral 24. ANS: B PTS: 1 25. ANS: B PTS: 1