In the diagram below, \triangle{LMN} \cong \triangle{RST}. Complete each statement for the next 6 questions.
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1
1
1
1
1
If the two triangles can be proven congruent, choose the correct congruence postulate, then write a congruence statement. If they cannot be proven congruent, choose None, and write "None" for a congruence statement.
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1
If the two triangles can be proven congruent, choose the correct congruence postulate, then write a congruence statement. If they cannot be proven congruent, choose None, and write "None" for a congruence statement.
1
1
If the two triangles can be proven congruent, choose the correct congruence postulate, then write a congruence statement. If they cannot be proven congruent, choose None, and write "None" for a congruence statement.
1
1
If the two triangles can be proven congruent, choose the correct congruence postulate, then write a congruence statement. If they cannot be proven congruent, choose None, and write "None" for a congruence statement.
1
1
If the two triangles can be proven congruent, choose the correct congruence postulate, then write a congruence statement. If they cannot be proven congruent, choose None, and write "None" for a congruence statement.
1
1
If the two triangles can be proven congruent, choose the correct congruence postulate, then write a congruence statement. If they cannot be proven congruent, choose None, and write "None" for a congruence statement.
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1
Using the diagram below, for the next 2 questions, name the included angle between each pair of sides given. Do not include the angle symbol.
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For the next 5 questions, state the third congruence that must be given to prove that \triangle{ABC} \cong \triangle{DEF} using the indicated postulate. Use the "=" symbol for congruence.
\angle{A} and \angle{D} are right angles, \overline{AB} \cong \overline{DE}
Use the HL Congruence Postulate
For the next 4 questions, tell whether you can use the given information to determine if \triangle{ABC} \cong \triangle{DEF}. If they are congruent, state the postulate that allows you to do so. If they are not congruent, state "Not Congruent".
In the diagram below, \triangle{ABC} \cong \triangle{DEF}. Complete each statement for the next 6 questions.
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1
1
1
1
1
Use the diagram below for the next 2 questions.
\triangle{ABC} \cong \triangle{DEF}
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1
Use the diagram below for the next 2 questions.
\triangle{RST} \cong \triangle{UVW}
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1
Use the diagram below for the next 2 questions.
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1
Question 42
42.
What does CPCTC stand for?
Every proof in this review is displayed in two different sections. In the first section, reorder the statements in the correct order. In the second section, using the correct order from the first section, determine each reason associated with each correct statement.
Question 43
43.
Using the correct order of the proof completed above, state the reasons for each step.
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1
1
1
1
Question 49
49.
Using the correct order of the proof completed above, state the reasons for each step.
1
1
1
1
Question 54
54.
1
1
1
1
1
1
1
Question 62
62.
Using the correct order of the proof completed above, state the reasons for each step.
1
1
1
1
1
Question 68
68.
Using the correct order of the proof completed above, state the reasons for each step.
1
1
1
1
1
1
Question 75
75.
1
1
1
1
1
1
1
1
Question 84
84.
Using the correct order of the proof completed above, state the reasons for each step.
1
1
1
1
1
1
Question 91
91.
Using the correct order of the proof completed above, state the reasons for each step.
1
1
1
1
1
1
Question 1
1.
\overline{MN} \cong ___________
Question 2
2.
MN = ___________
Question 3
3.
m\angle{M} = _______
Question 4
4.
\overline{SR} \cong _______
Question 5
5.
\triangle{STR} \cong \triangle{}_______
Question 6
6.
\angle{L} \cong \angle{} _______
Question 7
7.
Question 8
8.
Congruence Statement. Do not write "Triangle" and use "=" for congruence
Question 9
9.
Question 10
10.
Congruence Statement. Do not write "Triangle" and use "=" for congruence
Question 11
11.
Question 12
12.
Congruence Statement. Do not write "Triangle" and use "=" for congruence
Question 13
13.
Question 14
14.
Congruence Statement. Do not write "Triangle" and use "=" for congruence
Question 15
15.
Question 16
16.
Congruence Statement. Do not write "Triangle" and use "=" for congruence
Question 17
17.
Question 18
18.
Congruence Statement. Do not write "Triangle" and use "=" for congruence
Question 19
19.
XY and YW
Question 20
20.
ZW and YW
Question 30
30.
m\angle{C} = _______
Question 31
31.
\overline{BC} \cong ___________
Question 32
32.
\overline{DE} \cong ___________
Question 33
33.
m\angle{A} = _______
Question 34
34.
\triangle{CAB} \cong \triangle{}_______
Question 35
35.
\angle{C} \cong \angle{} _______
Question 36
36.
Find the value of x.
Question 37
37.
Find the value of y.
Question 38
38.
Find the value of x.
Question 39
39.
Find the value of y.
Question 40
40.
Find the value of x.
Question 41
41.
Find the value of y.
Put the statements in the correct order to complete the proof.
\angle{1} \cong \angle{4}
AD \parallel CB
DB \cong DB
AD \cong CB
\triangle ABD \cong \triangle CDB
Question 44
44.
Reason #1
Question 45
45.
Reason #2
Question 46
46.
Reason #3
Question 47
47.
Reason #4
Question 48
48.
Reason #5
Put the statements in the correct order to complete the proof.
\triangle ABC \cong \triangle CDE
AB \cong DE
\angle{1} \cong \angle{2}
\angle{B} \cong \angle{E}
Question 50
50.
Reason #1
Question 51
51.
Reason #2
Question 52
52.
Reason #3
Question 53
53.
Reason #4
Put the statements in the correct order to complete the proof.
\triangle WUY \cong \triangle WXY
\angle{UYW} \cong \angle{XYW}
WY \perp UX
\angle{UYW} and \angle{XYW} are right angles
UY \cong XY
YW \cong YW
Y is the midpoint of UX
Using the correct order of the proof completed above, state the reasons for each step.
Question 55
55.
Reason #1
Question 56
56.
Reason #2
Question 57
57.
Reason #3
Question 58
58.
Reason #4
Question 59
59.
Reason #5
Question 60
60.
Reason #6
Question 61
61.
Reason #7
Put the statements in the correct order to complete the proof.
CA \cong CA
AB \cong AD
\triangle ABC \cong \triangle ADC
AC bisects \angle{BAD}
\angle{BAC} \cong \angle{DAC}
Question 63
63.
Reason #1
Question 64
64.
Reason #2
Question 65
65.
Reason #3
Question 66
66.
Reason #4
Question 67
67.
Reason #5
Put the statements in the correct order to complete the proof.
\angle{M} \cong \angle{P}
\triangle QMN \cong \triangle NPQ
MQ \perp MN, NP \perp PQ
MN \cong QP
NQ \cong NQ
\angle{M} and \angle{P} are right angles
Question 69
69.
Reason #1
Question 70
70.
Reason #2
Question 71
71.
Reason #3
Question 72
72.
Reason #4
Question 73
73.
Reason #5
Question 74
74.
Reason #6
Put the statements in the correct order to complete the proof.
KL \cong NL
L is the midpoint of KN
JK \cong MN
\angle{J} \cong \angle{M}
\triangle KJL \cong \triangle NML
\angle{J} and \angle{M} are right angles
\angle{JLK} \cong \angle{MLN}
JK \perp JM, MN \perp JM
Using the correct order of the proof completed above, state the reasons for each step.
Question 76
76.
Reason #1
Question 77
77.
Reason #2
Question 78
78.
Reason #3
Question 79
79.
Reason #4
Question 80
80.
Reason #5
Question 81
81.
Reason #6
Question 82
82.
Reason #7
Question 83
83.
Reason #8
Put the statements in the correct order to complete the proof.
AB \parallel DC
\angle{B} \cong \angle{D}
\triangle ADC \cong \triangle CBA
AC \cong AC
\angle{DAC} \cong \angle{BCA}
\angle{1} \cong \angle{2}
Question 85
85.
Reason #1
Question 86
86.
Reason #2
Question 87
87.
Reason #3
Question 88
88.
Reason #4
Question 89
89.
Reason #5
Question 90
90.
Reason #6
Put the statements in the correct order to complete the proof.