AI Generated: Triangle Congruence Challenge: Test Your Knowledge of Transformations and Postulates!

Last updated about 3 hours ago

7 questions

1

Which of the following sets of criteria can prove that two triangles are congruent?

Side-Side-Side (SSS)

Angle-Angle-Side (AAS)

Side-Angle-Side (SAS)

All of the above

If two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, the triangles are congruent.

True

False

Instructions

Click a Graph tab (Graph 1, Graph 2, and so on) for each graph you need to plot.
Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.
After creating your graph, you can check the dashed line box.

Select all the pairs of congruent triangles from the following statements:

Triangle ABC is congruent to Triangle DEF (using SSS)

Triangle GHI is congruent to Triangle JKL (using AA)

Triangle MNO is congruent to Triangle PQR (using SAS)

Triangle STU is not congruent to Triangle VWX (different side lengths)

Explain why the Angle-Side-Angle (ASA) theorem can be used to prove triangle congruence.

What is the primary postulate used for proving that two triangles are congruent when two sides and the included angle are known?

Side-Side-Angle (SSA)

Angle-Side-Angle (ASA)

Side-Angle-Side (SAS)

Angle-Angle-Angle (AAA)

Which of the following sets of criteria can prove that two triangles are congruent?

Side-Side-Side (SSS)

Angle-Angle-Side (AAS)

Side-Angle-Side (SAS)

All of the above

If two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, the triangles are congruent.

True

False

Select all the pairs of congruent triangles from the following statements: 

Triangle ABC is congruent to Triangle DEF (using SSS)

Triangle GHI is congruent to Triangle JKL (using AA)

Triangle MNO is congruent to Triangle PQR (using SAS)

Triangle STU is not congruent to Triangle VWX (different side lengths)

What is the primary postulate used for proving that two triangles are congruent when two sides and the included angle are known?

Side-Side-Angle (SSA)

Angle-Side-Angle (ASA)

Side-Angle-Side (SAS)

Angle-Angle-Angle (AAA)