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Geometry
CHAPTER 1 REVIEW
NAME _______________________
For each problem, sketch a figure, write an equation, find the value of the variable and find
what is being asked.
1.
Figure 
R is in the interior of PQS .
mPQS  6 x , mPQR  3x  2
mSQR  22 , find mPQS
x=_______
Equation______________________
mPQS  ______
2.
VX is the bisector of WVY .
mWVX  12x  4 , mXVY  13x  9
find mWVY
x=_______
Figure 
Equation______________________
mWVY  ______
3.
ABD and DBC form a linear pair.
mABD  10x 1 and mDBC  9x 11
find mABD
x=_______
Figure 
Equation______________________
mABD  ______
4.
Figure 
Point E is between G and H.
GE  x  2 , EH  2x  6 and
GH  20 , find GE
x=_______
Equation______________________
GE  ______
The measure of an angle is 52 . What is the
______5. measure of its complement?
______6. measure of its supplement?
For each figure, write the equation, find the value of x, and answer the question.
7.
Point M is the midpoint of PQ
x=_______
Equation__________________
PQ  ______
8. Find mABC
x=_______
Equation__________________
mABC  _____
Find the length of the segment and find the midpoint.
______9.
Find AE
Find the midpoint of GH given G  1,3 and H 5, 3
______10.
The coordinates of the midpoint of GH
Find the endpoint B given A(-6, -3) and the midpoint (4, 2)
_____ 11.
The coordinates of endpoint B
11. Use the diagram and tell whether the angles are vertical angles, complementary angles,
supplementary angles, a linear pair, or neither.
________________
BOC and COD
B
________________
AOE and DOE
________________
COD and AOE
________________
COD and AOB
C
O
A
E
12. Classify the angle as acute, obtuse, right, or straight.
______________
BOC
______________
AOD
______________
BOD
______________
DOE
D
13. In the diagram, points A, B, C, and D are collinear, points C, X, Y, and Z
are collinear, AB  BC  CX  YZ , C is the midpoint of AD , AD  64 , and XZ  40 .
Find the indicated length.
______
AB
______
BD
______
CY
______
CD
______
XY
______
CZ
Solve for the angles indicated.
14. mNPQ = __?__
15. Given mEHG = 77, find mFHG.
Solve for the x and y.
16.
17.
*Make sure to know the vocabulary adjacent, bisect, midpoint, linear pair,
supplementary, complementary, and vertical angles!