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Geometry
Name ________________________
Unit 2 Review
Date __________
Block _____
I. Complete the following statements.
__________________ 1) Lines that lie in the same plane and do not intersect are _____.
__________________2) An infinite set of points that creates a flat surface that extends without
ending.
__________________ 3) Length is always a _____ number so we use the absolute value of the
difference of the coordinates.
__________________4) Lines that intersect and form right angles are called _____.
__________________5) _____ angles are two angles in a plane that have a common vertex and a
common side but no common interior points.
__________________6) How many endpoints does a line have?
__________________7) How many endpoints does a ray have?
__________________8) How many endpoints does a segment have?
__________________9) A(n) _____ is the point that divides a segment into 2 congruent pieces.
__________________10) A(n) _____ is the ray that divides an angle into 2 equal angles.
__________________11) The set of all points is called ______.
__________________12) Points on the same line are _____.
__________________13) Points on the same plane are _____.
__________________14) An angle with exactly 90 is called a(n) _____ angle.
__________________15) An angle with exactly 180 is called a(n) _____ angle.
__________________16) An angle with more than 90 but less than 180 is a (n) _____ angle.
__________________17) An angle with more than 0 but less than 90 is a (n) _____ angle.
__________________18) Two angles whose measures have the sum 90 are _____ angles.
__________________19) Two angles whose measures have the sum 180 are _____ angles.
__________________20) Two non-adjacent angles formed by intersecting lines are called ____
angles.
__________________21) Two noncoplanar lines that are not parallel and do not intersect.
__________________22) Two adjacent angles whose non-common sides are on the same line.
II. Segment Addition Postulate. Use the sketch below to answer #23-27
23. AB = 6 and BC = 8, find AC. ______
24. BC = 12 and AC = 20, find AB. ______
25. AB = x, BC = x + 3, and AC = 15,
Find x, AB, and BC.
26. B is the midpoint of AC, AC = 20.
Find AB and BC.
x = _____ AB = _____ BC = _____
AB = _____ BC = _____
27. B is the midpoint of AC, AB = x + 4 and BC = 2x – 5. Find x, AB, BC, and AC.
x = _____ AB = _____ BC = _____ AC = _____
Find the distance between the coordinates on a number line.
28. -11 and 25 _______
29. -42 and -6 _______
III. In Questions 30-34 you may have to visualize certain lines and planes not shown in
the diagram. Use correct notation.
C
B
_______30. Name the plane that does not intersect plane FGHE.
A
D
_______31. Name the plane that contains points A, D and G.
_______32. Are points C, D, E and G coplanar?
_______33. Are points B, D, H and F coplanar?
______ 34. Name the intersection of CD and GC
IV. Determine if the angles are linear, vertical, or neither.
__________ 35. 5 and 8
__________ 36. 6 and 7
__________ 37. 5 and 9
__________ 38. 6 and 8
F
E
G
H
V. In the diagram, mDOF = 90, mBOA = 40, and mGOF = 60. Complete
39.
mBOD = _____
40.
mFOE = ____
41.
mGOE = _____
42.
mBOC = ____
43.
mCOD = _____
44.
mDOE = ____
45.
mAOD = _____
46.
mBOG = ____
47. If C and D are complementary and mC = x + 10, mD = 2x - 7, find:
x = _____
mC = _____
mD = _____
48 If E and F are supplementary and mE = 5y – 3, mF = 2y + 1, find:
y = _____
mE = _____
mF = _____
49. If mTAH = 2x + 10, mMAT = 56°, and mMAH = 132°, find:
x = _____
mTAH = _____
50. If YO bisects XYZ and mXYO = 5x – 8 and mOYZ = 3x + 24, find:
x = _____
O
X
Z
Y
51. If mCAO = 2x + 6, mOAT = 3x – 1, and mCAT = 4x + 25 find…
x=
mTAO=
mOAC =
mCAT =
O
T
C
A
52. If mDOC = 3x + 6, mCOT = 2x + 9, find…
x=
mDOC =
mCOT =
C
3x + 6
2x + 9
D
O
53. If mCAT = 2x - 4, mTAG = x - 2, find…
x=
mCAT =
mTAG =
T
T
C
2x- 4
x-2
A
54. If mDOG = 4x + 11, mGOT = 2x + 7, find…
x=
mDOG =
mGOT =
G
D
G
4x + 11
2x + 7
55. If mCAT = 2x - 4, mTAG = x - 2, find…
x=
m1 =
m2 =
m3 =
m4 =
O
T
2
10x +
3
1
4
3
VI. Use a protractor to measure the angles to the nearest degree then classify.
12x - 9