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In this lesson, we will learn how to identify congruent triangles by applying SSS, SAS, and ASA criteria.

Q1:

The diagonal of the rectangle divides its surface into two triangles.

Q2:

Each of 32 students in a class have three straws with lengths of 3 inches, 4 inches, and 6 inches, with which they make a triangle. What would be true of all the triangles that they make?

Q3:

The shape π΄ π΅ πΉ πΆ in the given figure is a parallelogram.

What can be said of the lengths of π΄ πΆ and π΅ πΉ ?

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

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

Given the information gained from the previous sections and the π΄ π π΄ congruence criterion, are triangles π΄ πΆ πΈ and πΉ πΈ π΅ congruent?

Q4:

In the figure, .

Q5:

In the given figure, β ο© ο© ο© ο© β π΄ π΅ is the perpendicular bisector of πΆ π· . By definition, πΆ πΈ is equal to πΈ π· , π΄ πΈ is a common side to both angles, and β π΄ πΈ πΆ and β π΄ πΈ π· are both right angles.

Which congruence criterion could be used to prove that triangle π΄ πΈ πΆ and triangle π΄ πΈ π· are congruent?

As triangle π΄ πΈ πΆ and triangle π΄ πΈ π· are congruent, determine what will be true of the line segments π΄ πΆ and π΄ π· , wherever π΄ may lie on the line.

Q6:

The two triangles in the given figure have equal sides. Are the two triangles congruent?

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