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Triangle Congruence

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Last updated over 4 years ago
16 questions

Rigid Motion Review

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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)
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 2
2.
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Question 5
5.

Select all transformations that are RIGID MOTIONS.

Question 6
6.

Are the triangles congruent?
Put the RIGID MOTIONS argument in the correct order.

  1. A reflection is a rigid motion.
  2. Therefore, △ABC ≅ △RGD.
  3. A reflection will map â–³ABC onto â–³RGD.

Triangle Congruence Theorems

Determine if the two triangles are congruent. If they are, state how you know.
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no, a dilation has occurred
yes, a translation has occurred
yes, a reflection has occurred
yes, a rotation has occurred
Question 3
3.
Question 4
4.
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.
Yes, by SAS
Yes, by ASA
Yes, by AAS
Yes, by HL
Yes, by SAS
Yes, by ASA
Yes, by AAS
Yes, by HL
Yes, by SAS
Yes, by ASA
Yes, by AAS
Yes, by HL
Yes, by SAS
Yes, by ASA
Yes, by AAS
Yes, by HL
Yes, by SAS
Yes, by ASA
Yes, by AAS
Yes, by HL
Yes, by SAS
Yes, by ASA
Yes, by AAS
Yes, by HL
Yes, by SAS
Yes, by ASA
Yes, by AAS
Yes, by HL
Yes, by SAS
Yes, by ASA
Yes, by AAS
Yes, by HL
Yes, by SAS
Yes, by ASA
Yes, by AAS
Yes, by HL
Yes, by SAS
Yes, by ASA
Yes, by AAS
Yes, by HL