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Geometry
Name:
- - - - - - - -
Review: Chapter 1
Date:- - - - Period:
**As always make sure you know all vocabulary words covered in this-first unit!**
Name the 3 undefined terms in geometry:
1.
2.
3.
For problems 4-6, use the diagram to the right to answer the following.
4. Give two other names for Ail
c
5. Name three points that are collinear.
B
6. Name a point not coplanar with A, C, and T.
7. Write the correct notation for a ray from Q through P.
8. Draw four points, A, B, C, and D, on a line so that
are the same ray.
_
AC and AB are opposite rays and AC and AD
9. _ Sketch the intersection of a line and a plane.
A
For problems 10-12, use the diagram to the right to answer.
L
10. Name the intersection ofAr and W.
B f-----t.------(
I
I
!'vI
I
I
11. Name the intersection of plane ABC and plane LOD.
a
_
I
/
/
./
/
c
12. Name three planes that intersect at point O.
N
\­
13. The notation for the length of the segment between P and Q is
Find the length of each segment using the given information and
14. AD
•
A
= 30; AB = 2x + 2 =
3
B
•
; BC =
6
C D
4x ­
1
=
_
figu~e.
; CD = 3x ­
7
=
_
o
Point M is the midpoint of the given segment. Find the indicated length.
15.XM=
..
X
_
CG=
16.
x+Z
Zx- 3
I
I
'"
M
_
4y-S
..
I
Z
..
Zy+7
I
M
G
Find the location of the midpoint with the given endpoints.
17. (5, 0) and (-3, -5)
18. (-3,5) and (5, -1)
Find the coordinates of the other endpoint given one endpoint and the midpoint.
19. A(7, 3) and M(2, 1)
20. B(6, 2) and M(2, 0)
Find the exact distance between the given points. Simplify your answer!
21. (1,3) and (-2,4)
22. (-3,9) and (5, 5)
23. Name a point in the interior of L CDE.
24. C is in the interior of:
_
L
o
_
B. LCOD
A. LAOD
E
C. LAOB
D. LBOC
]
25. If m L DOE = 23
0
and m L COE
I
= 50
0,
then what is the measure of L COD?
"
- - - - - - ­
26. mL FOE
0
(2x+71" and mL CDE
0
(l1x- 5)" a :m L~CFO 67". FiO'im L FDE and m L CDE.
mLFDE = - - -
~D
27. Which is a labeled diagram for a ray.
A.
a
A
a
B
_
B.~
B
mLCDE
c
c.
B4
=- - ­
D. 0-----------0-­
A
B
A
28. If L ROS is obtuse and LTOR is straight, then LTOS is what kind of angle?
29.
BT bisects L ABC. Find the value of x.
_
A
---
Ba::--(~
(5x-7)"
c
30. If an obtuse angle is bisected, the resulting angles are
A. always obtuse
B. always acute
31. AB bisects L LAX and L LAX measures 104
0.
_
C. never congruent
Find the measure of
D. right angles
L LAB.
32. M is the midpoint of CD. If CD = 26/ what is the length of CM and MD?
_
=
_
MD=
_
CM
\.
33. If FG is a segment bisector of AB / what ,is the length of AB?
_
F
5x-3
3x+15
c
A
B
G
mLAED = 133°. Which of the following statements is false?
LBEC and LCED are vertical angles.
C. mLBEC = 133°
B. LAEB and LDEC are congruent angles.
D. mLAEB = 47°
'34. In the figure shown,
_
A.
B
,
I
•
B
C
Use the Angle Addition Postulate to find the measure of the unknown angle.
50'
F
A
35. mLBFC
=
_
36.
mLAFD =
37. OR and OP are opposite rays. OQ bisects LTOR. mLTOQ
E
_
= 41".
Draw a sketch and find
mLTOP.
38. Solve for x.
_
39. Solve for x.
_
~
(4x+130)
(4x+19)
(5x+16)
(4x+18)
40. Name an angle supplementary to LAOE.
41. Name an angle adjacent to LBOD.
_
42. LeOD and
form a linear pair.
43. LAOE and
are vertical angles
B
c
44. Find the area and perimeter of a rectangle with length 2.5 ft and width 30 ft. P =
A=
45. Find the area of the triangle.
~
10 yd
_
_
46. Find the circumference and area of a circle with radius 6 ft.
C=
_
A=
_
47. A play yard is 36 ft by 34 ft. A fence is to be built around the yard. How many feet of fencing will be
needed? If fencing costs $6 per foot, what will be the total cost of the fence?
48. The exit for James Madison University on Interstate-81 is at mile marker 245 and the exit for Virginia
Tech is at mile marker 118, If JMU's football team wereto travel south to Virginia Tech to playa
game (and more than likely win...yet again), then according to the Ruler Postulate how far did JMU's
- football team travel on Interstate-81?
49. Carl needs to deliver some firewood to his neighbor who lives across the lake from him. Using the
diagram below, how much further is Carl's trip if he drives instead taking the boat?
Carl's Street
sta3~:t!:(-~6,~0~)~~:;:;~~=~(0,0)
,,
Old Bridge RD
,,
,,
\.
End (0, -5)
50. Determine if each figure is a polygon. If so, \i\frite either convex or concave and classify by number of
sides.
o
D
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51. The following figure is a regular octagon. What is the perimeter ofthe octagon?
r
"
Geometry
Name:
Review: Chapter 1
Date:
43. LeDD
Answers:
1 - 3. Point, Line, Plane
l
+----+
4.'Linef, BA.
5.A,C,G
6.8
7.7jJ
B
8. •
9. '
A
C
D
•
AD
17.
...-;;=.-
(1,-_~)
18. (1, 2)
19. (-3, -1)
20. (-2, -2)
21. ill
~
j
22.4{5
23.G
24.C
25. 2r or 73° depending on your picture
26. 1r,50°
27.0
28. acute
29.10
30.8
31. 52°
32.13,13
33.84
34.A
35.40°
36.160°
37.98°
38.3
39.4
40. LEOD or LADe
41. LBDA or ...
42. LEOD or LADe
Period:
,
44.P=110ft,A=750sq.ft.
45.35 sq. yd.
46. C=37.7ft, A=113.1 sq.ft.
47. 140ft, $840
48.127 mi.
49. approx. 3.2 units longer
50. not a polygon
Concave, Heptagon
Convex, Quadrilateral
51. 32 units
10.L
11.
12. Plane LMO, Plane ALa, & Plane CNO
13. PQ (no comma, no symbol above)
14.AB=10,8C=15,CD=5
15. 7
16.38
_
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"