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Geometry Chapter 6 REVIEW Problems
Name: _____________________________
3/4/2015
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1. Find the sum of the measures of the interior angles of the figure.
2. The sum of the interior angle measures of a polygon with s sides is 2340. Find s.
3. Find the missing values of the variables. The diagram is not to scale.
119°
106°
x°
y°
74°
4. Find the value of x. The diagram is not to scale.
(3x + 10)º
148º
(x)º
112º
Geometry Chapter 6 REVIEW Problems
5. Find
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. The diagram is not to scale.
96°
118°
115°
104°
A
6. The sum of the measures of two exterior angles of a triangle is 264. What is the
measure of the third exterior angle?
7. How many sides does a regular polygon have if each exterior angle measures 30?
8. This jewelry box has the shape of a regular pentagon. It is packaged in a rectangular
box as shown here. The box uses two pairs of congruent right triangles made of foam to
fill its four corners. Find the measure of the foam angle marked.
x
x
9. In the parallelogram,
scale.
J
K
O
M
L
and
Find
The diagram is not to
Geometry Chapter 6 REVIEW Problems
10. ABCD is a parallelogram. If
scale.
A
then
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The diagram is not to
B
D
C
11. In parallelogram DEFG, DH = x + 2, HF = 2y, GH = 4x – 3, and HE = 5y + 1. Find the values
of x and y. The diagram is not to scale.
D
E
H
G
F
12. Find values of x and y for which ABCD must be a parallelogram. The diagram is not to
scale.
A
B
3x – 14
y + 11
4y – 7
x+ 2
D
C
Geometry Chapter 6 REVIEW Problems
3/4/2015
13. What is the most precise name for quadrilateral ABCD with vertices A(–5, 2), B(–3, 5),
C(4, 5), and D(2, 2)?
y
5
–5
5 x
–5
Find the value of each variable.
|
|
14. In the rhombus,
The diagram is not to scale.
3
1
|
|
2
15. In rectangle KLMN, KM =
K
L
N
M
16. In quadrilateral ABCD,
rhombus?
A
D
and LN = 64. Find the value of x.
and
B
C
. For what value of x is ABCD a
Geometry Chapter 6 REVIEW Problems
17.
are base angles of isosceles trapezoid JKLM. If
18.
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and
ABCD is a trapezoid. What is LM?
A
B
L
M
D
C
19.
and
Find
The diagram is not to scale.
R
|
|
S
||
||
U
T
20. In the coordinate plane, three vertices of rectangle MNOP are M(0, 0), N(0, c), and P(d,
0). What are the coordinates of point O?
y
5
–5
5 x
–5
Geometry Chapter 6 REVIEW Problems
3/4/2015
21. Write a two-column proof.
Given:
Prove:
V
U
X
S
T
22. In the coordinate plane, draw parallelogram ABCD with A(–5, 0), B(2, –6), C(8, 1), and
D(1, 7).Then demonstrate that ABCD is a rectangle.
Geometry Chapter 6 REVIEW Problems
3/4/2015
23. Write the Given and Prove statements for a proof of the following theorem:
If a quadrilateral is a kite, then its diagonals are perpendicular.
Kite
and its diagonals have been drawn for you.
y
A
D
B
C
x
Geometry Chapter 6 REVIEW Problems
Quadrilateral “Helper” Diagrams
3/4/2015