Triangle Congruence Practice

Instructions

This formative helps students understand different methods to prove triangle congruence: SSS, SAS, ASA, AAS, and HL. It includes real-world applications and theoretical problems.

Required

1

Which pair of triangles is congruent by Side-Angle-Side (SAS)?

Required

1

If two triangles have two equal sides and an equal included angle, what congruence theorem guarantees that they are congruent?

Required

1

Which pairs of triangles can be proven congruent using the Side-Side-Side (SSS) congruence theorem?

Required

1

What is the minimum information needed to prove two triangles are congruent using the SSS theorem?

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1

A farmer wants to build two triangular garden beds. The first triangle has sides measuring {a}m, {b}m, and {c}m. The second triangle also needs to be congruent with the first one using the SSS theorem. What should the side lengths of the second triangle be?

Required

1

If Triangle A and Triangle B have angles {angle3}° and {angle4}°, and a non-included side of {s}cm, can we say they are congruent by the AAS theorem?

Required

1

Which pair of triangles is congruent by Side-Angle-Side (SAS)?

If two triangles have two equal sides and an equal included angle, what congruence theorem guarantees that they are congruent?

Which pairs of triangles can be proven congruent using the Side-Side-Side (SSS) congruence theorem?

What is the minimum information needed to prove two triangles are congruent using the SSS theorem?

A farmer wants to build two triangular garden beds. The first triangle has sides measuring {a}m, {b}m, and {c}m. The second triangle also needs to be congruent with the first one using the SSS theorem. What should the side lengths of the second triangle be?

If Triangle A and Triangle B have angles {angle3}° and {angle4}°, and a non-included side of {s}cm, can we say they are congruent by the AAS theorem?

For two right triangles, if the hypotenuse is {hypotenuse}cm and one leg is {leg}cm, they are congruent by which theorem?