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Lesson: Proving Triangles' Congruence Using ASA and AAS Criterions

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

Worksheet: Proving Triangles' Congruence Using ASA and AAS Criterions • 18 Questions

Q1:

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

AThere will be only rotation that could be used to map one triangle onto the other.
BThere will be only reflection that could be used to map one triangle onto the other.
CThere will always exist a combination of translations, reflections, and rotations that could be used to map one triangle onto the other.
DThere will be only translation that could be used to map one triangle onto the other.
EThere will always exist a combination of translations, reflections, rotations, and dilations that could be used to map one triangle onto the other.

Q2:

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

Ayes
Bno

Q3:

In the given figure, triangle and triangle have two equal sides and share one equal angle. Are triangles and congruent?

Ano
Byes

Q4:

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

Anot congruent
Bcongruent,
Ccongruent,
Dcongruent,

Q5:

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

Ano
Byes,
Cyes,
Dyes,

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