Congruence & Triangles

Identify the congruent parts of Triangle RST and Triangle LMN, given that RS = LM, ST = MN, and angle R = angle L.

• RS, LM, ST, MN, angle R, angle L

• RT, LM, angle N

• RS, MN, angle T

• RT, LN, angle S

State the criteria for proving two triangles congruent using AAS congruence.

• Two triangles are congruent using AAS congruence if two angles and the non-included side of one triangle are congruent to two angles and the non-included side of another triangle.

• Two triangles are congruent using AAS congruence if the hypotenuse and one leg of one triangle are congruent to the hypotenuse and one leg of another triangle.

• Two triangles are congruent using AAS congruence if all three sides of one triangle are congruent to all three sides of another triangle.

• Two triangles are congruent using AAS congruence if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

What criteria is this.

• ASA criteria

• RHS criteria

• SAS criteria

What is the meaning of congruent?

• figures having the same angle, shape and size

• figures having same shape and size

• figures having the same shape but not same size or angle

• figures having the same size but not shape

Draw two RHS criteria triangle with labelling..

Answer explanation

Are these triangles congruent?

• Yes, by SSS

• Yes, by SAS

• Yes, by ASA

• No, this is the SSA one!!

Are these triangles congruent?

• Yes, by SSS

• Yes, by SAS

• Yes, by AAS

• No, this is the SSA one!!

Are these triangles congruent?

• Yes, by SAS

• Yes, by AAS

• Yes, by HL

• No, this is the SSA one!!

Name the corresponding angle or side.

• A

• B

• C

• D

Use the congruency statement to answer the following: 
<F = ___

• <H

• <I

• <G

• not congruent to another angle