Download Name __________Date

Tools of Geometry Review
Geometry
Name
1. The intersection of two distinct lines is a
point
2. The intersection of two distinct planes is a
.
line
.
Use the figure at the right for Exercises 3-8. Name the intersection of each pair of planes.
3. planes DCG and EFG
GH
4. planes EFG and ADH
EH
5. planes ABC and ABF
AB
Name two planes that intersect in the given line. (answers vary)
6.
ABC and DCG
7.
CDH and ADH
8.
AEF and HEF
9. R is between S and T on ST . If SR = 3x + 10, RT = 2x + 15, and ST = 7x + 5 find the value of
x and ST.
x = 10, ST = 75
10. Line n bisects AB at C. AC = 6x + 11 and CB = 8x. Find AB.
AB = 88
11. Find the value of x.
x = 35
(2x + 20)
12. Two angles are complementary. The measure of one angle is 30 more than three times its
complement. Find the measure of the larger angle.
x = 75; (90 – x = 15)
13. Two angles are supplementary. The measure of one angle is five times its supplement. Find
the measure of both angles.
x = 150; 180 – x = 30
14. Find the value of x.
x=3
3x - 5
x+1



15. In the figure below, DC and DB are opposite rays, and DE bisects CDG . If m CDG =
20x + 20 and m CDE = 12x, find m EDG .
G
E
60
B
C
D

16. In the accompanying diagram, ABC is a straight line, mABD = (3x – 12)°, mDBC = x°.
What is the value of x?
x = 48
D
(3x – 12)° x°
A
B
C
17. The mEDB  12x  2 , mEDG  5x , and mGDB  6x  2 . Find the value of x and mEDB .
E
x = 4; 46
G
B
C
18.
D
19.
(-1, 3)
20.
21.
7.2
22. Construct an angle congruent to angle ABC.
B
A
C
23. Construct an angle bisector through angle KLM.
K
L
M