1.07 Triangle Congruence Notes + Practice

Presentation

•

Mathematics

•

9th - 12th Grade

•

Medium

•

CCSS

HSG.SRT.B.5, HSG.CO.B.7

Standards-aligned

Melodie Hunt

Used 1+ times

FREE Resource

11 Slides • 29 Questions

1.07 Triangle Congruence

By Melodie Hunt

Warm - Up: Review of 1.06 Congruent Figures

On the next two slides, you will see review material of yesterday's class material. That will be followed by 5 questions. Review the two slides and answer the five questions for today's warm-up.

Multiple Choice

What is the corresponding angle to $\angle X$ ?

$\angle K$

$\angle I$

$\angle J$

Multiple Choice

What is the corresponding side to $\overline{IK}$ ?

$\overline{VX}$

$\overline{VW}$

$\overline{XW}$

Multiple Choice

If ∆PIG ≅ ∆COW, WO≅?

Multiple Choice

Remember order matters. Which of the following is true?

∆FGH ≅ ∆VHW

∆HFG ≅ ∆HWV

∆HGF ≅ ∆VHW

∆FGH ≅ ∆VWH

Multiple Choice

If Triangle ABC is congruent to Triangle EFG, what is the length of FG?

3 inches

5 inches

90 inches

4 inches

Multiple Choice

AAA

SAS

SSS

SSA

Multiple Choice

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

Multiple Choice

Determine if the two triangles are congruent. If they are, state the postulate.

Not enough information

ASA

AAS

SSS

Multiple Choice

Determine if the two triangles are congruent. If they are, state the postulate.

Not enough information

ASA

SAS

SSS

Multiple Choice

Congruent by ASA

Congruent by SAS

Congruent by SSS

Not Necessarily Congruent

Multiple Choice

State if the triangles are congruent and why.

AAS

ASA

Not congruent

SSS

Multiple Choice

State if the triangles are congruent and why.

Not congruent

AAS

SSS

ASA

Multiple Choice

Which triangle congruence theorem can be used to prove the triangles are congruent?

SSA

SAS

AAS

Multiple Choice

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

Multiple Choice

Which triangle congruence theorem can be used to prove the triangles are congruent?

ASA

SSS

SAS

Multiple Choice

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

Multiple Choice

Which triangle congruence theorem can be used to prove the triangles are congruent?

Not enough information

SAS

SSA

AAS

Multiple Choice

Name the postulate, if possible, that makes the triangles congruent.

SSS

ASA

AAS

Not Possible

Now you try some problems on your own.

Multiple Choice

What are the five ways to prove triangles congruent?

SSS, ASA, AAS, SAS, HL

SSS, SSA, HL, AAS, SAS

SAS, SSA, HL, AAS, SSS

HL, SAS, SSA, SSS, ASA

Multiple Choice

Using the fact that vertical angles are congruent, which theorem proves the triangles are congruent.

SAS

ASA

AAS

Multiple Choice

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

Multiple Choice

Which triangle congruence theorem can be used to prove the triangles are congruent?

AAS

SAS

AAA

Multiple Choice

Are these triangles congruent?

Yes, by AAS

Yes, by SAS

Yes, by SSS

No, this is the SSA one!!

Multiple Choice

Determine if the two triangles are congruent. If so, state the postulate.

ASA

Not enough information

SSS

SAS

Multiple Choice

Determine if the two triangles are congruent. If they are, state the postulate.

SSS

AAS

Not enough information

SAS

Multiple Choice

Determine if the two triangles are congruent. If they are, state the postulate.

ASA

AAS

Not enough information

SSS

Multiple Choice

Name the postulate, if possible, that makes the triangles congruent.

SSS

SAS

ASA

AAS

Multiple Choice

Name the postulate, if possible, that makes the triangles congruent.

REMEMBER: Triangles that share a side means that side is congruent to itself.

SAS

ASA

AAA

AAS

Multiple Choice

Which triangle congruence theorem can be used to prove the triangles are congruent?

SSS

SAS

AAS

ASA

1.07 Triangle Congruence

By Melodie Hunt

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