Download Chapter 7 Study Guide

Chapter 7 Study Guide
I.
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Review all the theorems we have covered in chapter 7…
1. The sum of the measures in a triangle is _______ degrees.
2. The measure of an ____________ angle is equal to the sum of the measures of the
____________ ____________ angles.
3. A segment joining the midpoints of two sides of a triangle is ____________ to the third side
and is __________ the length of the third side.
4. If 2 angles of one triangle are _____ to two angles of another triangle, then the third angles
are _____. (No Choice Theorem)
5. Explain the AAS theorem for proving triangles congruent:
6. How do you find the number of triangles in any regular polygon?
How do you find the number of diagonals in a polygon?
7. What is the formula for finding the interior degree measure of any regular polygon?
8. What is the formula for finding the exterior degree measure of any regular polygon?
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Put your skills to work….
7
9. Given:  1 = 110 
 7 = 50 
5
6
3
2
1
4
Find the measures of all the angles.
C
10. Given:  CAB = 80 
 CBA = 60 
AE and BD are altitudes
D
Find m  C and m  AFB
E
F
A
B
11. If m  G = 40, find m  L
G
L
O
A
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12. If the measures of the three angles in a triangle are in a ratio of 2:3:4, find the measures of all the
angles.
13. Given:  ORS = (4x + 6)
 P = (x + 24)
 O = (2x + 4)
O
Find the m  O, m  P & m  R
S
R
14. If WX = 24, find AY
ZW = 36, find BY
XZ = 20, find AB
P
Z
A
W
Y
B
X
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15. Draw triangle ABC.
If  A +  B = 70,
 B +  C = 150,
Find each angle.
16. Given: JM  GM
GK  KJ
Prove:  G   J
G
J
H
M
K
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17. Given: GJKM is a rhombus
OJ  GM
MH  GJ
Prove: MH  JO
M
K
O
G
H
J
P
18. Given: MR  KP
KO  PM
 RKM   OMK
Prove: RKM 
OMK
R
K
O
M
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19. Find the number of diagonals and measure of interior angles for the figures below.
20. How many diagonals in..
a. 24 sided figure
21. Dodecagon = _______ sides
b. 88 sided figure
Decagon = _______ sides
22. Find the SUM of the exterior angles for the following:
a. Heptagon
b. 32-gon
c. Octagon
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23. If a polygon’s angles = 5040, how many sides does it have?
24. Find the m  1 and m  2
1
40
2
25. If a polygon has an exterior angle of 40, find the number of sides.
b. Find the SUM of the interior angles.
c. What type of polygon is it?
26. What is the relationship between interior and exterior angles? How many degrees do they equal
together?