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In this lesson, we will learn how to identify congruence in triangles using ASA and AAS criteria and find a missing angle or side length.

Q1:

Determine the lengths of π΄ π and π΅ π .

Q2:

Q3:

In the given figure, π π = 3 π₯ β 7 and π π = 2 π₯ β 2 . Find π π .

Q4:

Two triangles have two corresponding angles and one corresponding side that are equal. Are the two triangles congruent?

Q5:

Find the length of πΈ πΆ .

Q6:

Which is the correct congruence from this figure?

Q7:

Triangle has been rotated to obtain triangle as seen in the given figure.

What is the size of ?

What is the length of ?

What type of triangle is ?

Q8:

Two triangles contain angles of equal measures.

Can we prove that the triangles are similar?

Can we prove that the two triangles are congruent?

Q9:

The triangle in the given figure has been constructed in the following way: is the midpoint of , is the line parallel to , and is the line parallel to .

What do we know about the sizes of angles and ?

What do we know about the lengths of and ?

Are triangles and congruent? If yes, state by which congruence criteria.

Therefore, what can be said of the lengths , , , and ?

Since is a parallelogram, what can be said of the points and ?

Q10:

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

Q11:

In the given figure, a reflection in the line β ο© ο© ο© ο© β π΄ π΅ would map triangle π΄ π΅ πΆ to triangle π΄ π΅ π· . Does it follow that the two triangles congruent?

Q12:

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

Q13:

Find the lengths of πΆ π΅ and π΄ π· .

Q14:

Q15:

Are two triangles congruent only when the angles of one triangle are equal to the angles in the other?

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