Geometry
Ch. 1 Review
Name: ____________________________
Period: ____
1. Vocabulary: Define or describe each term.
Point –
Line –
Plane –
Ray –
Segment –
Collinear points –
Coplanar points –
Congruent –
Acute angle –
Supplementary angles –
Complementary angles –
Obtuse angle –
Right angle –
Perpendicular Lines –
Perpendicular bisector –
Angle bisector –
2. Postulates:
The intersection of two lines is __________
The intersection of two planes is ____________
Through two points there is __________________.
Through three non-collinear points there is
______________________.
If point R is between points P and Q on a line, then
_________________________________
If point S is in the interior of PQR, then
_________________________________
* Draw figures for the last two postulates.
3. Lines, Segments, Rays, and Angles
a) Name the line four different
b) Draw AB
ways.
A
C
B

c) Draw AB
m
d) Draw PQR such that
mPQR  20
e) Draw three collinear points A,
B, and C.
f) Name the plane two different
ways.
Q
A
B
C
D
4. Circle the statements that are true and use correct notation for each diagram. Cross out the incorrect
statements. Make sure you understand the difference between = & , AB & AB , and mABC & ABC .
a)
b)
A
12 cm
B
A
C
AB  12 cm,
CD  12 cm
27°
B
D
AB  CD , AB  CD , AB  CD ,
F
C
mFDE  27
D
mFED  27
mFED  mABC
ABC  27
mFED  mABC
E
mABC  27
FED  ABC
5. Use the figure to answer the questions.
a) ____________ = 30°
A
60
70
80
100 1
10
12
0
13
80 7
0
0
60
50
c) mEBD  mDBC  m __ __ __
20
160
10
0
180 170
180
0
b) Name the intersection plane SVW
and plane STX.
e) mABE  _____°
170
10
6. Planes
a) Name plane that represents the top
of the box.
d) mABD  _____°
160
20
B
D
0
15
30
F
b) __________  ____________
0
14
100
110
20
1
0
13
90
40
30
40
15
0
14
0
50
C
E
f) __________ & ___________ are
supplementary angles.
d) Name the intersection plane VUY ,
plane TUX, and plane SVT.
e) Name the planes whose intersection
is ZY .
c) Name another point on plane SWX.
7. Point R is between T and V on TV . Sketch a figure for each problem.
a) TR = 15 cm, TV = 47 cm. Find RV.
5
3
b) TR = in, RV = in. Find TV.
8
5
(no calculators, show work with fractions)
8. The distance from San Rafael to Rohnert Park is 50 miles. The distance from Novato to Rohnert Park is 2
miles more than 5 times the distance from San Rafael to Novato. Find the distance from Novato to Rohnert
Park and from Novato to San Rafael. Show a diagram. Show work with an equation.
9. Vocabulary practice:
a) Name a right angle.
d) Name a supplement of
DOE.
b) Name an acute angle.
e) Name two angles that are
complementary.
c) Name an obtuse angle.
f) Name two segments that are
perpendicular.
11. Use a protractor to measure 1 and 2.
10. Draw an angle that has a measure of 125°.
2
12. Angle addition postulate
a)
mCSE  55, mESL  12, mCSL  ______
1
13. mCSE  3( x  2), mESL  8( x  3), mCSL  74
Find the value of x and mCSE and mESL .
b)
mCSE  _____, mESL  48, mCSL  87
L

E
L

E


S
 C
S
 C
14. Use the carbon copy method to translate the
figure along the line. Use the appropriate prime
notation to label the image.
15. Use the carbon copy method to reflect the figure
over the line. Use the appropriate prime notation to
label the image.
C
C
A
B
A
B
16. Use the carbon copy method to rotate the figure
around the point. Use the appropriate prime
notation to label the image.
17. Name each type of transformation.
a.
Pre-image
Image
C
b.
B
A
Pre-image
18. Transform the triangle from
(x,y) to (x + 7, y)
Image
19. If triangle ABC is rotated 180° about the origin
which of the following are the coordinates of B ' .
B
Describe the
transformation.
C
B
C
A
A
A (4,–3)
20. Reflect the triangle across the x-axis.
Write the rule: (x,y) to (
,
)
B (–4,–3)
C (–3,–4)
D (3,–4)
21. Describe the result of applying each rule.
a) (x,y) to ( x  3, y)
b) (x,y) to ( x  1, y  2)
C
B
c) (x,y) to ( x,  y)
A
22. Write the rule for each description.
a) translate 4 units up
b) reflect over y-axis
c) translate 2 units left
23. The vertices of ABC are A(3, –1) , B(3, 4), and
C(0, 1). If ABC is translated 2 units down and 3
units to the right to create DEF, what are the
coordinates of the vertices of DEF.
A D(6,–3) E(6, 2) F(3,–1)
B D(1,2) E(1, 7) F(–2,4)
C D(6,–4) E(6, 1) F(3,0)
D D(5,–3) E(5, 2) F(2,–1)
24. Which expression describes the translation of a point
from (5, –2) to (8,–6)?
A
B
C
D
3 units left and 4 units up
3 units right and 4 units up
3 units left and 4 units down
3 units right and 4 units down