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Triangle Congruence

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Last updated over 4 years ago
16 questions
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Learning Targets:

✳ I can use and describe rigid motions to decide if two figures are congruent (MGSE9-12.G.CO.6)
✳ I can use the definition of congruence to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent. (MGSE9-12.G.CO.7)
✳ I can explain how the criteria for triangle congruence (SSS, SAS, ASA, AAS, and HL) follow from the definition of congruence in terms of rigid motions. (MGSE9-12.G.CO.8)

Rigid Motion Review

Question 1
1.

Two figures are congruent if and only if one can be obtained from the other by a sequence of ___________ ______________.

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Question 5
5.

Question 6
6.

Triangle Congruence Theorems

Determine if the two triangles are congruent. If they are, state how you know.
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Question 2
2.
Question 3
3.
Question 4
4.
Select all transformations that are RIGID MOTIONS.
translation
dilation
reflection
rotation
Are the triangles congruent?
Put the RIGID MOTIONS argument in the correct order.
A reflection will map â–³ABC onto â–³RGD.
A reflection is a rigid motion.
Therefore, △ABC ≅ △RGD.
Question 7
7.
Question 8
8.
Question 9
9.
Question 10
10.
Question 11
11.
Question 12
12.
Question 13
13.
Question 14
14.
Question 15
15.
Question 16
16.
no, a dilation has occurred
yes, a translation has occurred
yes, a reflection has occurred
yes, a rotation has occurred
no, a dilation has occurred
yes, a translation has occurred
yes, a reflection has occurred
yes, a rotation has occurred
no, a dilation has occurred
yes, a translation has occurred
yes, a reflection has occurred
yes, a rotation has occurred
Not enough info
Yes, by SSS
Yes, by SAS
Yes, by ASA
Yes, by AAS
Yes, by HL
Not enough info
Yes, by SSS
Yes, by SAS
Yes, by ASA
Yes, by AAS
Yes, by HL
Not enough info
Yes, by SSS
Yes, by SAS
Yes, by ASA
Yes, by AAS
Yes, by HL
Not enough info
Yes, by SSS
Yes, by SAS
Yes, by ASA
Yes, by AAS
Yes, by HL
Not enough info
Yes, by SSS
Yes, by SAS
Yes, by ASA
Yes, by AAS
Yes, by HL
Not enough info
Yes, by SSS
Yes, by SAS
Yes, by ASA
Yes, by AAS
Yes, by HL
Not enough info
Yes, by SSS
Yes, by SAS
Yes, by ASA
Yes, by AAS
Yes, by HL
Not enough info
Yes, by SSS
Yes, by SAS
Yes, by ASA
Yes, by AAS
Yes, by HL
Not enough info
Yes, by SSS
Yes, by SAS
Yes, by ASA
Yes, by AAS
Yes, by HL
Not enough info
Yes, by SSS
Yes, by SAS
Yes, by ASA
Yes, by AAS
Yes, by HL