### Chapter 6 Quizzes

```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
1620°
measures of a convex 11-gon.
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
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?
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
```