Twa kɔ nsɛm atitiriw so
Log in
Sign up for FREE
arrow_back
Laabri

Triangle Congruence

star
star
star
star
star
Last updated almost 5 years ago
16 Nsɛmmisa

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

1
1
1

Triangle Congruence Theorems

Determine if the two triangles are congruent. If they are, state how you know.

Asemmisa {{asɛmmisaAhyɛnsode}}
1.

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

1
Asemmisa {{asɛmmisaAhyɛnsode}}
2.
1
1
Asemmisa {{asɛmmisaAhyɛnsode}}
5.

Select all transformations that are RIGID MOTIONS.

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

Are the triangles congruent?

Put the RIGID MOTIONS argument in the correct order.

  1. A reflection will map △ABC onto △RGD.

  2. A reflection is a rigid motion.

  3. Therefore, △ABC ≅ △RGD.

1
1
1
1
1
1
1
1
1
1
Asemmisa {{asɛmmisaAhyɛnsode}}
3.
Asemmisa {{asɛmmisaAhyɛnsode}}
4.
Asemmisa {{asɛmmisaAhyɛnsode}}
7.
Asemmisa {{asɛmmisaAhyɛnsode}}
8.
Asemmisa {{asɛmmisaAhyɛnsode}}
9.
Asemmisa {{asɛmmisaAhyɛnsode}}
10.
Asemmisa {{asɛmmisaAhyɛnsode}}
11.
Asemmisa {{asɛmmisaAhyɛnsode}}
12.
Asemmisa {{asɛmmisaAhyɛnsode}}
13.
Asemmisa {{asɛmmisaAhyɛnsode}}
14.
Asemmisa {{asɛmmisaAhyɛnsode}}
15.
Asemmisa {{asɛmmisaAhyɛnsode}}
16.