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Geometry
1-#8
Ch. 1 Review
Name: ____________________________
Period: ____ Sept 9. 10 2014
1. Vocabulary: Be able to define or describe each
term. Which are the “building blocks of
geometry?”
Point –
Line –
Plane –
Ray –
Segment –
Collinear points –
Coplanar points –
Congruent –
Acute angle –
Supplementary angles –
Complementary angles –
Obtuse angle –
Right angle –
Perpendicular Lines –
Angle-
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 with a protractor
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
C
60
70
D
15
d) mABD  _____°
20
160
0
6. Planes
a) Name plane that represents the top
of the box.
b) Name the intersection plane SVW
and plane STX.
e) mABE  _____°
170 180
10
10
0
180 170
20
B
160
15
0
0
30
c) mEBD  mDBC  m __ __ __
30
F
b) __________  ____________
40
14
2
0 1
13
100 1
10
12
0
13
80 7
0
0
60
50
0
0
0
10 10
01
90
14
40
50
80
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. Novato is between San Rafael and Ronhert Park along a straight highway. 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. Use the figure on the right
to…
a) Name a right angle.
d) Name a supplement of
DOE.
e) Name two angles that are
complementary.
b) Name an acute angle.
c) Name an obtuse angle.
f) Name two segments that are
perpendicular.
10. Draw an angle that has a measure of 125° with a
protractor.
11. Use a protractor to measure 1 and 2.
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. translate the figure along the line. Use the
appropriate prime notation to label the image.
15. reflect the figure over the line. Use the appropriate
prime notation to label the image.
C
C
A
B
A
B
16. rotate the figure around the point. Use the
appropriate prime notation to label the image.
17. Name each type of transformation (choices: reflection, rotation,
translation)
a.
C
Pre-image
Image
B
A
b.
Pre-image
18. Transform the triangle from
(x,y) to (x + 7, y)
19. If triangle ABC is rotated 180° about the origin
which of the following are the coordinates of B ' .
B
Describe the
transformation
in words:
C
B
Image
A
C
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 in words the result of applying each rule.
a) (x,y) to ( x  3, y )
b) (x,y) to ( x  1, y  2)
C
B
A
c) (x,y) to ( x,  y )
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
25. Let point A be (2, - 4) and point B be (-8, 1).
(work space)
a. Find the slope of segment AB
b. Find the distance from point A to point B
c. Find the coordinates of the midpoint of
AB
d. Write the equation of the line that
contains points A and B
e. Write the equation of the line that is
perpendicular to line AB and contains the
point (1, 6)
Some final notes: Look at the answers below- remember to mark any questions that you can not correct on your own.
We’ll go over those in class before the test on Th/Friday. For the test, you may use your green sheet of notes and a
protractor, but nothing else. (no calculator, no old homeworks.) I will be collecting your binder and grading it while you
are taking the test- I’ll be looking at all HW from Ch 1, as well as your 3 dividers (notes, quizzes/tests,
homework/classwork.) You will get 5 points for having an organized binder in class on the test day, plus I’ll record your
Ch 1 HW completion score.
ANSWERS:
1. * means “building block of Geometry”
*Point – no dimension, named with capital letter
*Line – extends infinitely in 2 directions, named with 2 capital letters with arrows above
*Plane – flat, extends infinitely in all directions, named with the word plane followed by 3 letters or a
cursive capital letter
Ray – part of a line with an endpoint and extends infinitely in one direction- named with endpoint first
Segment – part of a line with two endpoints
Collinear points – points on the same line
Coplanar points –points in the same plane
Congruent – same size, same shape
Acute angle – angle measure less than 90 degrees
Supplementary angles – two angles whose measure sums to 180
P
Complementary angles – two angles whose measure sums to 90
Obtuse angle – angle measure more than 90, less than 180 degrees
R P Q
S
Right angle – angle that measures 90 degrees
Q
Perpendicular Lines –two lines that intersect at a right angle
Angle- two rays that share a common endpoint
R
3. point, line, one line, plane, RP plus PQ = RQ , measure of angle PQS plus measure of angle SQR =
measure of angle PQR, see drawings
3. AB, CB, BA, linem b. A
B c. A
B d. check with protractor e. A
B C
f. plane ABD, plane Q
4. correct: first, third, fourth b. correct: second, fifth, last
5. a. m<EBD or m<CBA , b. EBD  CBA c. EBC d. 80 e. (many correct answers) <EBD and
<DBF
6. plane SVT b. line SW c. T d. U e. plane VUY and plane WXZ
7. 32 cm b. 49/40
8. Nov to RP is 42 mi, SR to Nov is 8 mi.
9. a. <BOD or <BOA b. <DOC or <COB or < BOA c. angle EOB or angle AOC or angle DOE
d. <EOA e. angles DOC and BOC f. segments AD and BO
10. Measure with protractor
11. 26 and 116 degrees
12. 67 degrees, b. 39 degrees
13. X = 4, m<CSE = 18 degrees, m<ESL = 56 degrees
14-16 see tracing paper
17. a. reflection b. translation
18. Shift 7 to the right, A’ = (3, 1) B’ = (6, 3) C’ = (2, 4)
19. B
20. (x, y) to (x, -y) , A ‘ = (-1, -1) B’ = (2, -3) C’ = (-2, -4)
21. a. shift 3 left
b. shift one right, down two c. reflect across both axes OR 180 degree rotation
22. (x, y) to (x, y+4) b. (x, y) to (-x, y) c. (x, y) to (x-2, y)
23. A
24. D
25. a. -1/2 b. √125 c. (-3, -3/2) d. y = -1/2 x -3
e. y = 2x + 4