Download Given: Ray BE bisects FBD

Geometry
Study Guide Test #1
Name: ______________________
Match each vocabulary word with its definition or description.
1. __E___ congruent
A. angles that adds up to 180
2. __H___ obtuse angle
B. angles that have one side in common
and the other side forms opposite rays
3. __F___ acute angle
C. divides an angle into two equal parts
4. __J___ linear pair
D. part of a line that has two endpoints
5. __B__ vertical pair
E. having the same measure
6. __M___ vertex
F. an angle measuring less than 90
7. __K___ ray
G. divides a segment into two equal parts
8. __N___ collinear points
H. an angle measuring between 90 and 180
9. __I___ coplanar points
I. points that lie in the same plane
10.__G___ segment bisector
J. two adjacent angles with the uncommon
11.__O___ complementary angles
side forming a line
K. a line with a point and arrow
12.__A___ supplementary angles
L. an angle that measures 90
13.__L___ right angle
M. the intersection of the sides of an angle
14.__D___ segment
N. three points that lie on the same line
15.__C___ angle bisector
O. angles that add up to 90
True or False
16._T___ A line has exactly one dimension which is length.
17._T____ If XY + YZ = XZ, then Y must be between X and Z.
18.__T___ If B is between A and C and AB  BC , then B must be the midpoint of AC
19.__F___ A line has a midpoint.
20.__T___ Opposite rays form a straight angle.
21.__F___ A segment has an infinite number of bisectors.
22.__F___ Three angles whose measures add up to 180 are called supplementary.
23.__F___ Two angles that form a linear pair are always complementary.
24.__F___ All acute angles are congruent to each other.
25.__F___ Vertical angles are always congruent to each other.
point
line
collinear points
line segment
opposite rays
intersect
midpoint formula
angle bisector
segment addition postulate collinear plane
supplementary angles
distance formula
end point
postulates
complementary angles
congruent
angle addition postulate
adjacent angles
plane
ray
linear pair
acute angle
midpoint
obtuse angle
geometric
right angle
segment bisector
angle
sides
vertex
bisect
vertical angle
congruent angle
straight angle
Use the words above to fill in the blank. You will not use all the words.
26. The top of a desk would be the best real-life representation of a
____PLANE_____.
27. A ____SEGMENT____ is named by two endpoints and has a midpoint.
28. An angle which measures 81 degrees is a(n) _ACUTE___angle.
29. A ray contains exactly one ___END___
__POINT_____ and an infinite
number of points elsewhere on it.
30. ___POSTULATES______ are statements assumed to be true.
31. Points, lines, and planes are examples of _GEOMETRIC___ terms.
32. Opposite rays form a _LINE______.
33. When two segments or angles have the same length or equal degree measures,
then, in geometry, we say they are __CONGRUENT_____.
34. Two angles formed by intersecting lines that are congruent, but not adjacent are
__VERTICAL_____ angles.
35. A(n) ____ANGLE____
___BISECTOR____ is a ray that splits an angle into
two congruent angles.
36. A(n) ____LINEAR_______
__PAIR____ is two angles that are
supplementary, adjacent, and form a straight line.
37. The __MIDPOINT______ Formula finds the coordinate for the point that is
halfway between two points on a coordinate plane.
Point J is between K and L. Point M is between J and L. L is between J and N.
KN = 57
JL = 28
JK = JM = LM
38. Draw a picture of this in the box.
39. Find JM
__14____
40. Find JK
__14______
41. Find LN
__15______
Point B is between C and D.
BC = 8x + 1
BD = 5x – 3
CD = 15x – 10
42. Draw a picture of this in the box.
43. Solve for x. __4_____
44. Find BC.
__33_____
45. Find CD.
__50_____
46. Find the coordinates of the midpoint of the segment with endpoints
D(6, 6) and E (-2, 2).
(2, 4)
47. Find the coordinates of the other endpoint of a segment with an endpoint of
X (2, -3) and midpoint M (1, -2)
(0,-1)
48. Theresa’s house has coordinates (-3, 2) while Jen’s apartment has coordinates (7, -4).
How far will Theresa travel if she wants to visit Jen?
11.7
49. Along the way, Theresa stops to buy soda at the midway point. Where is she? (Give
the coordinates.)
(2, -1)
50. If QS bisects <PQR, find the measure of <PQR. If m <PQS = (5x – 46)
and m<SQR = (2x + 5).
78
A
Use the diagram to the right to answer questions 51 – 54.
Given: Ray BE bisects  FBD
B
F
51. mEBD = __38_____
52. mCBF = __123_____
38
47
C
E
53. mFBA = __57_____
D
54. mDBA = __133_____
Use the information and diagram below to answer the question.
mABD = (9x – 1)
mDBC = (7x + 6)
mABC = 85
D
A
55. Find the value of x. __5.6_______
B
C
Use the diagram to the right to answer #56-57.
56. Name a vertical pair.
__13____ and __11____
10
57. Name a linear pair.
__13____ and _10_____
12
1 and 2 are complementary angles.
m1 = (4x – 23)
m2 = (6x + 5)
58. Write an equation for this.
59. Find the value of x. __10.8________
11
13
(4x-23) + (6x +5) = 90
3 and 4 are the supplement of each other.
m3 = (8x – 14)
m4 = (2x + 4)
(8x – 14) + (2x+4) = 180
60. Write an equation for this.
61. Find the m4. __42______
Use the diagram to the right to answer questions 62 – 63.
Given:  FBA  GBC
A
C
62. Find the value of x. 6
(9x - 3)
63. Find the mCBG. ___51______
F
(7x + 9)
B
64. Solve for x and y.
x = ___32_____
y = __29____
65. Solve for x and y.
x = __8____
y = _21______
66. Find the measures of <PMN and <NMR if MN bisects <PMR. The measure of
<PMR is 76. Draw a sketch that shows the given information.
38 AND 38
G
#67-69. Draw and LABEL the diagram described.
67. TP bisects AB at U. AUP is acute.
68. SUN and CUT are
supplementary vertical angles.
69. MAH and RAT form a linear pair.
A is the midpoint of MT .
70. Given the endpoint A(4, -2) and the midpoint M(0, 5), find the other endpoint.
Show your work algebraically.
(-4, 12)
71. Given the endpoint A(12, -7) and the midpoint M(-9, 3), find the other endpoint.
Show your work algebraically.
(-30, 13)