Ch 6 Test Review

Ch 6 Test Review - Geometry Honors
Name_________________
1. Find the sum of the measures of the angles of the following polygons.
a) Heptagon
b) Pentagon
c) Dodecagon
d) 26-gon
2. The sum of the angle measures of a polygon with s sides is given. Find s.
a) 1080
b) 2080
c) 2520
d) 6480
3. Define what it means for a polygon to be equilateral? Equiangular? Regular?
4. How many sides does a regular polygon have for each exterior angle measures that is given?
a) 20
b) 18
c) 36
d) 45
5. Find the value of x in each figure. The diagrams are not to scale.
(2x + 10)º
148º
(2x)º
112º
6. Find the values of the variables in the parallelograms. The diagrams are not to scale.
29
102
y°
z°
x°
7. Find AM and AP in the parallelogram if AP =2x + 7, AN = 5x - 8 and MO = 20. The diagram is not to scale.
M
N
A
P
O
8. In parallelogram DEFG, DH = 2x + 3, HF = 3y, GH = 4x – 12, and HE = 2y + 3.
Find the values of x and y. The diagram is not to scale.
D
E
H
G
F
9. Make one statement to prove that quadrilateral XYZW is a parallelogram?
X
Y
N
W
Z
10. Refer to the figure below.
Given: UVWX is a parallelogram, mWXV  17 ,
U
mWVX  29 , XW  41, UX  24, UY = 15
V
15
m  WVU = __________
29°
24
WV = _______________
Y
m  XUV = ___________
17°
X
41
W
UW = _______________
Are the following quadrilaterals parallelograms?
11.
12.
13.
Explain why if they are.
14.
15.
16.What is the most precise name for quadrilateral ABCD with vertices A(–2, 3), B(-4, 6), C(4, 6), and D(4, 3)?
y
x
•
•
|
|
•
|
|
•
17.Classify the figures in as many ways as possible.
18.Which statement is true?
a.
b.
c.
d.
All parallelograms are quadrilaterals.
All quadrilaterals are squares.
All rectangles are squares.
All quadrilaterals are parallelograms.
19. In the rhombus, m
. Find the value of each variable.
|
|
The diagram is not to scale.
3
1
|
|
2
20. In rectangle KLMN, KM = 7x + 20 and LN = 55. Find the value of x.
K
L
N
M
21.In quadrilateral ABCD,
and
A
D
. For what value of x is ABCD a rhombus?
B
C
22. In order for a parallelogram to be a rectangle, what must you know about the diagonals?
23. in order for a parallelogram to be a rhombus, what must you know about the diagonals?
24. State everything that is known about an isosceles trapezoid.
Identify the given Quadrilateral. Use the most specific name.
(Parallelogram, Rhombus, Rectangle, Square, Kite, Isosceles Trapezoid)
25.
26.
28.
29.
31.
27.
30.
AB = 20 and DC = 78 What is LM?
A
B
L
M
D
C
32.Find the missing angles in the kite. The diagram is not to scale.
D
3
39°
1
|
|
A
2
||
||
B
C
33.A rectangle is placed in a convenient position in the first quadrant of a coordinate plane.
Which is the missing label for the vertex?
y
(0,c)
(0,0)
(_?_ , _?_)
(d,0)
x
y
34. Use distance formula to determine whether
is scalene, isosceles, or equilateral.
The vertices are T(1,1), V(0,4) and S(5,3) . Show your work.
x
35.The vertices of the trapezoid are the origin along with A(8a, 8b), B(8c, 8b), and C(8d, 0).
Find the midpoint of the midsegment of the trapezoid. Show your work.
y
A
B
(0, 0)
C
x
36.For the parallelogram, find coordinates for P without using any new variables.
y
(a, b)
0
P
c
x
37. Use distance formula, slope formula, or midpoint formula to show ABCD is a parallelogram.
y
b
B  2, 4
b g
g
C 6, 4
x
b
g
A  5,  5
b
g
D 3,  5

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