SSS, HL, and SAS Review

Presentation

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Mathematics

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9th - 12th Grade

•

Medium

•

CCSS

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

Standards-aligned

Brian Demcher

Used 23+ times

FREE Resource

10 Slides • 15 Questions

Chapter 5.3 and 5.5

SSS, HL, and SAS Review

Multiple Select

What three triangle congruences do we know so far?

SAS

SAA

SSS

Included Angle

Angle D is the included angle of side ED and FD.

Angle A is the included angle of side BA and CA.

The included angle means the angle between two sides. In other words it is the angle 'included between' two sides.

Multiple Choice

What is the included angle between sides AB and CB?

$\angle A$

$\angle B$

$\angle C$

Multiple Choice

What is the included angle between sides AC and BC?

$\angle A$

$\angle B$

$\angle C$

Vertical Angles

Don't forget about some of our hidden relationships....

Multiple Choice

In this picture,

<BCA=<DCE because they are vertical angles and vertical angles are always congruent to each other

<C=<C because they are vertical angles and vertical angles are always congruent to each other

<EDC=<ACB because they are vertical angles and vertical angles are always congruent to each other

None of the above; we don't actually have vertical angles

Draw

Are there any congruent angles in this diagram?

Side - Side - Side (SSS)

SSS allows us to prove triangles congruent if...

If 3 sides of one triangle are congruent to 3 sides of another triangle, then the triangles are congruent.

Reflexive Property of Congruence

Whenever two triangles share a side, instantly think of Reflexive Property of Congruence!

CA is congruent to CA by the Reflexive Property of Congruence

Multiple Choice

Which triangle congruence theorem proves the two triangles congruent?

SAS

SSS

not enough information

Multiple Choice

Which triangle congruence theorem proves the two triangles congruent?

SSS

SAS

not enough information

Multiple Choice

Which triangle congruence theorem proves the two triangles congruent?

SAS

Not enough information

SSS

Multiple Choice

Are these triangles congruent?

Yes, by ASA

Yes, by SAS

Yes, by AAS

No, this is the SSA one!!

Multiple Choice

ΔLMO ≅ _______ by ______

ΔNOM , SSS

ΔMON , SSS

ΔNOM , SAS

Cannot Be Determined

Multiple Choice

State if the triangles are congruent or not. If they are, state how you know.

Yes - by SSS

Yes - by ASA

Yes - by HL

Yes - by AAS

Not congruent

Multiple Choice

State if the triangles are congruent or not. If they are, state how you know.

Yes - by AAS

Yes - by ASA

Yes - by HL

Yes - by SAS

Not congruent

Multiple Choice

State if the triangles are congruent or not. If they are, state how you know.

Yes - by AAS

Yes - by ASA

Yes - by HL

Yes - by SAS

Not congruent

Multiple Choice

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

SSS

ASA

SSA

Multiple Choice

Which of the following did we not learn to prove triangles congruent?

AAA

SSS

SAS

Chapter 5.3 and 5.5

SSS, HL, and SAS Review

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