Download Final Review: Chapter 1- Foundations

Per.
Date
Name
Final Review: Chapter 1- Foundations
(Points, Lines, and Planes) (Be Perfect!)
1. Which diagram shows the construction of the perpendicular bisector?
A.
B.
D.
-24N
M
5x-8
2.
"
P
17
-•—>
T w o angles whose measures have a sum equal to 90 degrees.
F . Adjacent Angles
H . Complementary Angles
G. Supplementary Angles
J . Angle Bisectors
3. H o w are the two angles related?
52°
128°
Drawing not to scale
A . Vertical Angles
C. Complementary Angles
B. S u p p l e m e n t a r y A n g l e s
D. Adjacent Bisectors
•J-
Geometry 2012
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Use the following chart and graph for problems 4 - 9 .
yj - y^
m= —^
!
y ^ mx + b
[
4.
2
'
2
i
W h i c h formula would you use to solve the following problem?.
Line segment 715 has endpoints A(2, - 3 ) and 5 ( - 4 , 6 ) . What are the coordinates of the midpoint?
5. Find the midpoint of PQ. round your answer to the nearest hundredth.
6.
A . (-3,-1)
C. (-2,-1)
B. ( - 2 , 0 )
D. ( - 3 , 0 )
What formula would you use to find the distance from point P to point Q?
7. F i n d the distance from point P to point Q.
A . 16.12
C . 4.24
B. 4.47
D. 260
Geometry 2012
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8. Find the coordinates of the midpoint of the segment whose endpoints are H (8, 2) and K (6, 10).
F . (7,6)
H . (14,12)
G . (1,4)
J . (2,8)
9. Find the perimeter of MBCl
-1
y-
it
\
\
-VJ
~
5 •
/I
\i-I
1
B '
—J
I
r
J_J ih
M i
f
A . 12 units
C . 32 units
B. 7 units
D. 14 units
10. In the figure shown, m z l = (3;c + 2 ) ° a n d m z 2 = {Ix + 1 8 ) '
What is m z l ?
F. 67°
H.90°
G. 23°
J. 14°
Geometry 2012
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11. /11 and Ll are supplementary angles. /raZl = - 39, and /f^ZS =
61. Find the measure of each angle.
A . Z l = 79, Z 2 = 101
C . ^1 =
B. ^1 = 40, ^ 2 = 140°
D. Z l = 79. Z 2 = i l l
12. Let
^ 2 = 150
a n d z 5 be complementary angles and m z 5 = ( 3 x + 5 2 ) ° . F i n d mZ.A.
F. ( 3 8 - 3 > : ) °
H . (232 - 3 x ) °
G. ( 1 4 2 - 3 ; c ) °
J . (128 - 3;c)°
.
2 x - 12, ./^'G = 3;c- 15, a n d ^ G = 23, find the values of A:, EF, and F G . The drawing is not to scale..
13. / f
E
X.
X = IQ.EF
B.
X = 3.EF
F
G
= 8,FG
=-6,FG
= 15
C. x
=-6
D.
= 10,EF
x = 3, EF
= 32,FG = 45
= S, FG
=
15
14. If you were asked to solve the problem: If E F = lOx - 5, F G = 7x - 25, and E G = 16x + 40 find the values of x,
EF, and FG. The drawing is not to scale..
E
F
G
What equation would you use to solve for x?
15. What equation would you use to solve the following problem?
BT bisects /.WBM, mZ.WBT = (200x - 2 3 6 ) ° and mzJBM = ( 4 2 5 x - 3400)^
Find mAWBM
Equation:
Geometry 2012
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Per,
16. If T is the midpoint of SU, find the values of x and ST. The diagram is not to scale.
•s
•u
T
•
9x
4x+25
F . jc = 5,5r=45
H . x = 10,57=60
G. x^5,ST=60
J . ;c= 10,57=45
17. Draw and label a picture such that
bisects angle Z X R Z , m Z X R T = (8x - 26)° and
m Z T R Z = (4x + 34)°.
Find m z X R Z
18. If m z A = (x - 20)°, find the measure of the supplement of z A .
19. W h i c h of the following is not an undefined term in geometry?
A . plane
C . bisector
B. point
D. line
20. H o w many pairs of skew lines are shown?
F. 24
H . 48
G . 12
J.
Geometry 2012
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