CHAPTER 6 QUIZZES 6 1 Lesson Quiz 1

CHAPTER 6 QUIZZES

6. 1 Lesson Quiz 1. Name the polygon by the number of its sides. Then tell whether the polygon is regular or irregular, concave or convex. nonagon; irregular; concave 2. Find the sum of the interior angle measures of a convex 11 -gon. 1620° 3. Find the measure of each interior angle of a regular 18 -gon. 160° 4. Find the measure of each exterior angle of a regular 15 -gon. 24°

6. 2 Lesson Quiz: Part I In PNWL, NW = 12, PM = 9, and m WLP = 144°. Find each measure. 1. PW 18 2. m PNW 144°

6. 2 Lesson Quiz: Part II QRST is a parallelogram. Find each measure. 3. TQ 28 4. m T 71°

6. 2 Lesson Quiz: Part III 5. Three vertices of ABCD are A (2, – 6), B (– 1, 2), and C(5, 3). Find the coordinates of vertex D. (8, – 5)

6. 3 Lesson Quiz: Part I 1. Show that JKLM is a parallelogram for a = 4 and b = 5. JN = LN = 22; KN = MN = 10; so JKLM is a parallelogram by Theorem 6 -3 -5. 2. Determine if QWRT must be a parallelogram. Justify your answer. No; One pair of consecutive s are , and one pair of opposite sides are ||. The conditions for a parallelogram are not met.

6. 3 Lesson Quiz: Part II 3. Prove the quadrilateral is a parallelogram. E(– 1, 5), F(2, 4), G(0, – 3), and H(– 3, – 2) Since one pair of opposite sides are || and , EFGH is a parallelogram by Theorem 6 -3 -1.

6. 4 Lesson Quiz: Part I A slab of concrete is poured with diagonal spacers. In rectangle CNRT, CN = 35 ft, and NT = 58 ft. Find each length. 1. TR 2. CE 35 ft 29 ft

6. 4 Lesson Quiz: Part II PQRS is a rhombus. Find each measure. 3. QP 42 4. m QRP 51°

6. 4 Lesson Quiz: Part III 5. The vertices of square ABCD are A(1, 3), B(3, 2), C(4, 4), and D(2, 5). Show that its diagonals are congruent perpendicular bisectors of each other.

6. 5 Lesson Quiz: 1. Given that AB = BC = CD = DA, what additional information is needed to conclude that ABCD is a square?

6. 5 Lesson Quiz 3. Use the diagonals to determine whether a parallelogram with vertices A(2, 7), B(7, 9), C(5, 4), and D(0, 2) is a rectangle, rhombus, or square. Give all the names that apply. AC ≠ BD, so ABCD is not a rect. or a square. The slope of AC = – 1, and the slope of BD = 1, so AC BD. ABCD is a rhombus.

6. 6 Lesson Quiz: Part I 1. Erin is making a kite based on the pattern below. About how much binding does Erin need to cover the edges of the kite? about 191. 2 in. In kite HJKL, m KLP = 72°, and m HJP = 49. 5°. Find each measure. 2. m LHJ 81° 3. m PKL 18°

6. 6 Lesson Quiz: Part II Use the diagram for Items 4 and 5. 4. m WZY = 61°. Find m WXY. 119° 5. XV = 4. 6, and WY = 14. 2. Find VZ. 9. 6 6. Find LP. 18