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In this lesson, we will learn how to prove that two triangles are congruent using either the SSS or the SAS criterion.

Q1:

Determine whether the triangles in the given figure are congruent, and, if they are, state which of the congruence criteria proves this.

Q2:

Two triangles share two sides and a contained angle. Would the two triangles be congruent?

Q3:

Determine whether the triangles in the given figure are congruent by applying SSS, SAS, or ASA. If they are congruent, state which of the congruence criteria proves this.

Q4:

Can you use π π΄ π to prove the triangles in the given figure are congruent? Please state your reason.

Q5:

Which congruence criteria can be used to prove that the two triangles in the given figure are congruent?

Q6:

In the given quadrilateral, π΄ πΉ and π΅ πΉ have the same length and πΈ πΉ and πΆ πΉ have the same length.

Which angle has the same measure as β π΄ πΉ πΈ ?

Hence, are the triangles π΄ πΉ πΈ and π΅ πΉ πΆ congruent? If yes, state which congruence criteria proves this.

Q7:

State whether the figures are congruent or not congruent.

Q8:

Which of the following statements will be true for two triangles that are congruent?

Q9:

In the given figure, triangle π΄ π΅ πΆ and triangle π΅ πΆ π· have two equal sides and share one equal angle. Are triangles π΄ π΅ πΆ and π΅ πΆ π· congruent?

Q10:

Q11:

Q12:

Given that πΈ is the midpoint of π΄ πΆ in the given figure, without referencing angles, which congruence criteria could you use to prove triangles π΄ π΅ πΈ and πΆ π΅ πΈ are congruent?

Q13:

The figure shows triangles π΄ π΅ πΆ and π· πΈ πΉ .

Are the two triangles congruent?

Justify your answer with one of the following reasons.

Q14:

Q15:

Q16:

From the following figure, what can we conclude about a possible Side-Side-Angle (SSA) congruence criterion?

Q17:

Q18:

Q19:

The two triangles in the given figure have two sides and a contained angle that are equal. Triangle π΄ π΅ πΆ could be mapped to triangle π· πΈ πΉ by a reflection in the line β ο© ο© ο© ο© ο© β πΊ π» . Are the two triangles congruent?

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