Download geometry fall semester review

FIRST SEMESTER REVIEW
NAME______________________________________DATE_________________PER.______
GEOMETRY FALL SEMESTER REVIEW
PART 1. GEOMETRY BASICS
Know the definitions of each of the following terms.
Point
Ray
Line
Midpoint
Plane
Coordinate
Coplanar Points
Collinear Points
Line Segment
Using the figure below, name each of the following.
1. ____________
2. ____________
3. ____________
The intersection of M and L
L
B
C
A ray opposite DB
E
D
M
A plane containing CE
A
4. ____________
The intersection of L and CE
Refer to the number line below to find the measures for problems 14 – 16.
V
WT
-6 -5 -4 -3 -2 -1
Y RU
ZX S
0
2
1
3 4
5 6
5. d = _______________
Find the distance between X and T.
6. d = _______________
What is the distance between Z and W?
7. _______________
What point(s) is/are two units from point U?
Find the indicated value.
8. x = _______________
If A is between X and Y, and XA = 3x, AY = 2x + 5, and XY =
60, find the value of ‘x’. (Draw a picture…it helps!)
9. d = _______________
Find the distance between the points E(-3, -4) and F(5, 4).
Simplify the radical if necessary.
Refer to the number line to find the coordinate of the midpoint of each segment.
A E
-6 -5 -4 -3 -2 -1
10. m = _______________
AC
11. m = _______________
BD
B
0
C D
1
2
3 4
5 6
Find the midpoint of the segment with the given endpoints.
12. m = _______________
(-3, 6) and (2, -8)
Find the indicated length.
13. FG = _______________
F is the midpoint of EG. If EF = 2x + 3 and EG = 6x – 3, find
FG.
PART 2. ANGLE BASICS
Using the figure below, find the indicated measures.
A
14. mCED = __________
D
mFEC = 32, find mCED.
E
15. x = __________
mCEA = (6x – 20), mAED = (3x + 18),
and mCED = 151. Find the value of ‘x’.
C
F
Use the figure below to answer the following questions.
16. ____________________
Name a pair of adjacent,
complementary angles.
17. ____________________
Which angle is vertical to STR?
18. ____________________
The measure of PTR is twice the
measure of NTP. Find the measure
of both angles.
P
N
Q
T
M
R
S
In the figure below, BA and BC are opposite rays, and BE bisects ABD.
19. mABE = __________ If mABE = (6x + 2) and mDBE =
(8x – 14), then find mABE.
20. mEBD = __________
If mABE = (12n – 8) and mABD =
(22n – 11), then find mEBD.
Know the definition of each of the following terms.
angle
acute angle
right angle
midpoint
vertex
obtuse angle
congruent angles
complementary angles
straight angle
supplementary angles
angle bisector
vertical angles
adjacent angles
collinear
segment bisector
D
E
A
B
C
Find the indicated measures.
21. ____________________
An angle’s measure is 43 less than 6 times the measure of its
complement. Find the measure of both angles.
22. ____________________
Find the measures of two complementary angles, A & B, if
mA = (7x + 4) and mB = (4x + 9).
PART 3. PARALLEL LINES & TRANSVERSALS
Use the figure below for problems 1. – 6. Identify each angle pair and tell whether they
are congruent or supplementary.
23. TYPE:____________________

or
or
or
5 6
7 8
4 and 5
supplements?
25. TYPE:____________________

1 2
3 4
supplements?
24. TYPE:____________________

1 and 5
2 and 8
supplements?
Find the value of ‘x’ in each of the following.
(2x – 3)
26. x = ____________
135
(2x + 7)
27. x = ____________
103
SECOND SIX-WEEKS REVIEW PG. 2
Given l  m, m1 = 98, and m2 = 40, find the measure of each angle.
28. _______________
9 8
2
m4 = ?
1
29. _______________
30. _______________
4
l
7
b
3
m8 = ?
m9 = ?
6
m
5
a
Find the indicated value(s).
31. x = ____________
Find the values of ‘x’ and ‘y’.
(3y + 8) (4x + 9)
y = ____________
(19x + 10)
Use the pyramid below to answer questions 16 and 17.
M
32. _________________________
Name all pairs of parallel
segments.
33. _________________________
Name a segment skew to AE.
R
D
A
E
PART 4. ANGLES OF POLYGONS
Answer each of the following questions.
34. m = ____________
Find the missing angle in LMN
and classify the triangle by angles.
L
Classify:
35. m = ____________
Find the measure of angle T and
classify the triangle by angles.
Name the sides of LMN in order
from smallest to largest.
37. Angles:
Name the angles in MOT from
largest to smallest.
N
67
80
M
Classify:
36. Sides:
10
7
5
75
T
O
8
Determine whether it is possible to form a triangle with the given lengths of sides. If yes,
classify the triangle by SIDES.
38. YES
or
NO
5, 4, and 3
NO
5, 10, and 15
Classify:
39. YES
or
Classify:
Find the value of ‘x’ in each of the following.
40. x = ____________
(x + 10)
x
(x + 20)
41. x = ____________
(x – 37)
(x – 42)
x
Find the indicated measure.
42. sum = ____________
Find the sum of the measures of the interior angles of an
octagon.
43. each = ____________
Find the measure of each interior angle of a decagon.
44. sum = ____________
Find the sum of the measures of the exterior angles of a 20gon.
45. each = ____________
Find the measure of each exterior angle of a regular 15gon.
PART 5. QUADRILATERALS
Complete each statement about
46. Answer:____________
MARK and tell why you chose that answer.
MKR  ?
Why?
K
47. Answer:____________
AS  ?
R
S
Why?
M
48. Answer:____________
Why?
ARK and _____ are supplementary.
A
For each parallelogram, find the values of ‘x’, ‘y’, and ‘z’.
49. x = _______________
x
y = _______________
y
z
z = _______________
118
50. x = _______________
y
y = _______________
z
z = _______________
20
x
42
Use rhombus RSTV and the given information to find each value.
51. ____________
If mRST = 67, find the mRSW.
S
T
W
52. ____________
If mSWT = (2x + 8), find the value of ‘x’.
R
V
Use rhombus ABCD and the given information to find each value.
A
53. ____________
B
If mACD = 34, find mABC.
F
54. ____________
What is the value of ‘x’ if mBAC = (4x + 6)
and mACD = (12x – 18)?
D
C
WXYZ is an isosceles trapezoid with bases WZ and XY and median MN. Use the given
information to solve each problem.
55. MN = ____________
Find MN if WZ = 11 and XY = 3.
W
M
X
56. XY = ____________
If MN = 10 and WZ = 14, find XY.
57. x = ____________
If MN = 10x + 2, WZ = 21, and
XY = 8x +19, find the value of ‘x’.
Y
N
Z
ABCD is an isosceles trapezoid. Decide whether each statement is TRUE or FALSE (circle
one), and explain your reasoning.
58. TRUE or FALSE
AC = BD
Explain:
B
A
59. TRUE or FALSE
AD  CB
D
Explain:
60. TRUE or FALSE
E
C
CA and BD bisect each other.
Explain:
Quadrilateral EFGH is a rectangle. Find the value of ‘x’.
61. x = ____________
mHEG = (12x + 1) and mGEF =
(6x – 1)
E
H
J
62. x = ____________
JF = 8x + 4 and EG = 24x – 8
F
G