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Transcript
```Geometry Chapter 6 Review
Name _________________________
Please remember to show all work when possible!!!
1) The SUM of the measures of the INTERIOR angles of an OCTOGON is _______°
2) The measure of EACH INTERIOR angle of a REGULAR DECAGON is ______°
3) The measure of EACH EXTERIOR angle of a REGULAR HEPTAGON is ______°
4) List all possible names for each polygon and circle the most specific name.
5) Tell whether each figure is a polygon. If it is a polygon, name it by its number of
sides.
For problems 6-7, solve for the variables in the parallelograms. Show all work.
6)
A
(6c – 6)°
(4p)°
B
7)
A
9 – 6x
B
3p
D
5p – 8
30°
C
D
2x – 7
C
8) The angles of a hexagon measure x°, 2x°, 2x°, 3x°, 4x°, and 8x°. What is the
measure of the smallest angle?
Use the information given in each of these figures to find the measures of the indicated
angles.
2
50°
9)
10)
2
1 3
70°
4
1
11) Given that GOAT is a rectangle, determine
if the following are true or false:
S
a) GA = TO _________
b) GO = OA _________
T
c) GS = SA _________
d) SA = OS _________
e) ST = SA _________
Given that ABCD is a rhombus for questions 12-13, find the following:
12)
O
G
m ∠ AEB = ______
&
m ∠ CEA = ______
13) If m ∠ BCD = 35°, then m ∠ ACB = _______
and m ∠ ADC = _______
14) Solve for a.
15) Find the length of midsegment XY in trapezoid PQRS:
16) Position a rectangle with side lengths of c
and p on the axis to the right and give the
coordinates of each vertex.
A
17) QRST is a rhombus. What is m∠RST?
18) Solve for the variables in the rectangle.
x°
58°
y°
19) BD = 7x − 0.5 and AC = 5x + 2.3.
Find the value of x so that ABCD is isosceles.
20) Solve for x in this parallelogram.
21) Find the length of EI in the kite.
22) Draw an example of each of the following:
a) a concave polygon
b) a convex polygon
23) Give the coordinates of the unnamed vertices
in trapezoid ABCD without introducing
any new variables.
c) a regular polygon
D(w,h)
A(___,___)
C(______,____)
B(p,____)
```
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