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 12 c. 2 9 ;  ; 2 13 3 4 b. 3 12 d. 11 13 ;  ;  2 13 2 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

What name best describes the quadrilateral?

____ 20.

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 STA: MO.MOGCLE.MTH.07.GEO.M.2.B.1 TOP: Lesson 8.1 Find Angle Measures in Polygons KEY: diagonals | sum | interior angle measures of polygons BLM: Application

NOT: 978-0-618-65613-4

2. ANS: C PTS: 1 DIF: Level B REF: HLGM0440 STA: MO.MOGCLE.MTH.07.GEO.M.2.B.1 TOP: Lesson 8.1 Find Angle Measures in Polygons KEY: sum | quadrilateral | interior angle measures of polygons BLM: Application

NOT: 978-0-618-65613-4

3. ANS: B PTS: 1 DIF: Level B REF: HLGM0441 STA: MO.MOGCLE.MTH.07.GEO.M.2.B.1 TOP: Lesson 8.1 Find Angle Measures in Polygons KEY: regular polygon | hexagon | interior angle measures of polygons

BLM: Application NOT: 978-0-618-65613-4

4. ANS: C PTS: 1 DIF: Level B REF: HLGM0451 STA: MO.MOGCLE.MTH.07.GEO.M.2.B.1 TOP: Lesson 8.1 Find Angle Measures in Polygons KEY: octagon | regular polygon | exterior angle measures of polygons

BLM: Application NOT: 978-0-618-65613-4

5. ANS: A PTS: 1 DIF: Level B REF: MLPA0713 TOP: Lesson 8.1 Find Angle Measures in Polygons KEY: exterior angle measures of polygons

BLM: Application NOT: 978-0-618-65613-4

6. ANS: C PTS: 1 DIF: Level B REF: GMPA0651 TOP: Lesson 8.1 Find Angle Measures in Polygons KEY: regular polygon | exterior angle measures of polygons BLM: Application

NOT: 978-0-618-65613-4

7. ANS: A PTS: 1 DIF: Level B REF: AXGM0234 TOP: Lesson 8.1 Find Angle Measures in Polygons KEY: regular polygon | interior angle measures of polygons BLM: Application

NOT: 978-0-618-65613-4

8. ANS: B PTS: 1 DIF: Level B REF: HLGM0457 NAT: NCTM 9-12.GEO.1.a TOP: Lesson 8.2 Use Properties of Parallelograms KEY: angle measure | parallelogram BLM: Comprehension

NOT: 978-0-618-65613-4

9. ANS: C PTS: 1 DIF: Level A REF: MLGE0285 NAT: NCTM 9-12.GEO.1.a TOP: Lesson 8.2 Use Properties of Parallelograms KEY: parallelogram | consecutive interior angles | property BLM: Comprehension

NOT: 978-0-618-65613-4

10. ANS: C PTS: 1 DIF: Level B REF: MHST0010 TOP: Lesson 8.2 Use Properties of Parallelograms KEY: property | parallelogram

BLM: Comprehension NOT: 978-0-618-65613-4

11. ANS: D PTS: 1 DIF: Level B REF: MHN90085 NAT: NCTM 9-12.GEO.1.a STA: MO.MOGCLE.MTH.07.GEO.M.2.B.1 TOP: Lesson 8.2 Use Properties of Parallelograms KEY: angle measure | parallelogram | diagonals BLM: Application NOT: 978-0-618-65613-4

12. ANS: D PTS: 1 DIF: Level B REF: MLGE0400 NAT: NCTM 9-12.GEO.1.a TOP: Lesson 8.2 Use Properties of Parallelograms

KEY: side lengths | parallelogram BLM: Application NOT: 978-0-618-65613-4

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

NOT: 978-0-618-65613-4

14. ANS: C PTS: 1 DIF: Level A REF: TASH0019 NAT: NCTM 9-12.GEO.1.a TOP: Lesson 8.4 Properties of Rhombuses, Rectangles, and Squares KEY: property | quadrilateral | geometric figure BLM: Knowledge

NOT: 978-0-618-65613-4

15. ANS: C PTS: 1 DIF: Level B REF: HLGM0475 TOP: Lesson 8.4 Properties of Rhombuses, Rectangles, and Squares KEY: property | rhombus BLM: Comprehension

NOT: 978-0-618-65613-4

16. ANS: C PTS: 1 DIF: Level A REF: MLGE0291 TOP: Lesson 8.4 Properties of Rhombuses, Rectangles, and Squares

KEY: parallelogram | bisect | diagonal BLM: Knowledge NOT: 978-0-618-65613-4

17. ANS: C PTS: 1 DIF: Level B REF: MC100124 TOP: Lesson 8.4 Properties of Rhombuses, Rectangles, and Squares KEY: property | rhombus BLM: Comprehension

NOT: 978-0-618-65613-4

18. ANS: B PTS: 1 DIF: Level B REF: HLGM0476 STA: MO.MOGCLE.MTH.07.GEO.G.2.A.1 TOP: Lesson 8.6 Identify Special Quadrilaterals KEY: coordinate geometry | quadrilateral

BLM: Comprehension NOT: 978-0-618-65613-4

19. ANS: C PTS: 1 DIF: Level A REF: MHST0017 TOP: Lesson 8.6 Identify Special Quadrilaterals KEY: property | quadrilateral

BLM: Knowledge NOT: 978-0-618-65613-4

20. ANS: A PTS: 1 DIF: Level A REF: MIM10065 NAT: NCTM 9-12.GEO.1.a TOP: Lesson 8.6 Identify Special Quadrilaterals

KEY: quadrilateral | identify BLM: Knowledge NOT: 978-0-618-65613-4

21. ANS: D PTS: 1 DIF: Level B REF: MIM20279 NAT: NCTM 9-12.GEO.1.a TOP: Lesson 8.6 Identify Special Quadrilaterals KEY: classify | quadrilateral BLM: Comprehension

NOT: 978-0-618-65613-4

22. ANS: D PTS: 1 DIF: Level B REF: MIM20280 NAT: NCTM 9-12.GEO.1.a TOP: Lesson 8.6 Identify Special Quadrilaterals KEY: classify | quadrilateral BLM: Comprehension

NOT: 978-0-618-65613-4

23. ANS: B PTS: 1 DIF: Level B REF: MIM20281 NAT: NCTM 9-12.GEO.1.a TOP: Lesson 8.6 Identify Special Quadrilaterals KEY: classify | quadrilateral BLM: Comprehension

NOT: 978-0-618-65613-4

24. ANS: B PTS: 1

25. ANS: B PTS: 1