Congruence Postulates and Conditions Quiz

Test your knowledge of geometry with questions on triangle congruence postulates like SSS, SAS, ASA, and more.

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Which congruence postulate or theorem is applicable when all three sides of one triangle are congruent to all three sides of another triangle?

Angle-Side-Angle (ASA)

Side-Angle-Side (SAS)

Angle-Angle-Side (AAS)

Side-Side-Side (SSS)

Which congruence postulate or theorem is applicable when all three angles of one triangle are congruent to all three angles of another triangle?

Angle-Side-Angle (ASA)

Side-Angle-Side (SAS)

Angle-Angle-Angle (AAA)

Side-Side-Side (SSS)

Which postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent?

Angle-Side-Angle (ASA)

Side-Angle-Side (SAS)

Angle-Angle-Side (AAS)

Side-Side-Side (SSS)

In triangle congruence, if two corresponding angles and the included side of one triangle are congruent to two corresponding angles and the included side of another triangle, what postulate can be used to prove congruence?

Angle-Side-Angle (ASA)

Side-Angle-Side (SAS)

Angle-Angle-Side (AAS)

Side-Side-Side (SSS)

If two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, what postulate can be used to prove congruence?

Angle-Side-Angle (ASA)

Side-Angle-Side (SAS)

Angle-Angle-Side (AAS)

Side-Side-Side (SSS)

If two angles and a side that is not between them (non-included side) of one triangle are congruent to two angles and a side that is not between them (non-included side) of another triangle, what postulate can be used to prove congruence?

Angle-Side-Angle (ASA)

Side-Angle-Side (SAS)

Angle-Angle-Side (AAS)

Side-Side-Side (SSS)

Which of the following is NOT a condition for proving triangle congruence using the SSS postulate?

The lengths of the corresponding sides are equal.

The angles opposite the corresponding sides are equal.

The triangles are similar.

All three pairs of corresponding sides are equal.

What is the condition for proving triangle congruence using the SAS postulate?

The lengths of the corresponding sides are equal.

The angles opposite the corresponding sides are equal.

All three pairs of corresponding angles are equal.

Two pairs of corresponding sides and the included angle are equal.

What does the Side-Side-Angle (SSA) condition state in terms of triangle congruence?

If two pairs of corresponding sides and a non-included angle are congruent, the triangles are congruent.

If two pairs of corresponding angles and a non-included side are congruent, the triangles are congruent.

If two pairs of corresponding sides and an included angle are congruent, the triangles are congruent.

If two pairs of corresponding angles and an included side are congruent, the triangles are congruent.

#10

Which of the following conditions is required to prove triangle congruence using the ASA postulate?

Two pairs of corresponding sides and an included angle are congruent.

Two pairs of corresponding angles and an included side are congruent.

Two pairs of corresponding sides and a non-included angle are congruent.

Two pairs of corresponding angles and a non-included side are congruent.

Congruence Postulates and Conditions Quiz

Which congruence postulate or theorem is applicable when all three sides of one triangle are congruent to all three sides of another triangle?

Which congruence postulate or theorem is applicable when all three angles of one triangle are congruent to all three angles of another triangle?

Which postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent?

In triangle congruence, if two corresponding angles and the included side of one triangle are congruent to two corresponding angles and the included side of another triangle, what postulate can be used to prove congruence?

If two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, what postulate can be used to prove congruence?

If two angles and a side that is not between them (non-included side) of one triangle are congruent to two angles and a side that is not between them (non-included side) of another triangle, what postulate can be used to prove congruence?

Which of the following is NOT a condition for proving triangle congruence using the SSS postulate?

What is the condition for proving triangle congruence using the SAS postulate?

What does the Side-Side-Angle (SSA) condition state in terms of triangle congruence?

Which of the following conditions is required to prove triangle congruence using the ASA postulate?

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