Triangle Congruency Criteria

Which criteria requires two triangles to have three pairs of sides of equal length to be considered congruent?

• SAS

• ASA

• SSS

• AAS

Answer explanation

SSS (Side-Side-Side) criterion requires two triangles to have three pairs of sides of equal length to be considered congruent.

Tags

CCSS.HSG.SRT.B.5

If two triangles have two pairs of sides with the same length and the angle between those sides is also equal, which congruence criterion is being used?

• SSS

• SAS

• ASA

• AAS

Answer explanation

The congruence criterion being used is SAS (Side-Angle-Side) because two pairs of sides with the same length and the angle between those sides are equal.

Tags

CCSS.HSG.SRT.B.5

Which congruence criterion requires two angles and the side between them to be congruent?

• SSS

• SAS

• ASA

• AAS

Answer explanation

The ASA (Angle-Side-Angle) congruence criterion requires two angles and the side between them to be congruent, making it the correct choice in this scenario.

Tags

CCSS.HSG.SRT.B.5

Which of the following is NOT a valid criterion for triangle congruency?

• SSS

• SAS

• ASA

• SSA

Answer explanation

The correct choice is SSA because Side-Side-Angle (SSA) is not a valid criterion for triangle congruency as it does not guarantee congruence.

Tags

CCSS.HSG.SRT.B.5

In triangle congruency, the abbreviation "SAS" stands for:

• Side-Angle-Side

• Side-Angle-Segment

• Segment-Angle-Segment

• Side-Angle-Square

Answer explanation

In triangle congruency, 'SAS' stands for Side-Angle-Side, where two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

Tags

CCSS.HSG.SRT.B.5

For the ASA criterion, the congruent angles are:

• Any two angles

• Only the right angles

• Two angles and the included side

• Two angles on either side of the congruent side

Answer explanation

The correct choice for the ASA criterion is two angles on either side of the congruent side.

Tags

CCSS.HSG.SRT.B.5

The SAS congruence criterion can be applied when:

• Two sides and any angle are congruent.

• Two sides and the angle opposite one of those sides are congruent.

• Two sides and the angle between them are congruent.

• Any two sides and any angle are congruent.

Answer explanation

The SAS congruence criterion can be applied when two sides and the angle between them are congruent, making this the correct choice.

Tags

CCSS.HSG.SRT.B.5

If two triangles are congruent by the ASA criterion, it means that:

• They have two pairs of congruent sides and one congruent angle.

• They have two congruent angles and the side opposite one of the angles is congruent.

• They have two congruent angles and the side between them is congruent.

• They have three pairs of congruent sides.

Answer explanation

If two triangles are congruent by the ASA criterion, it means they have two congruent angles and the side between them is congruent, which is the correct choice.

Tags

CCSS.HSG.SRT.B.5

Which of the following is a necessary condition for two triangles to be congruent by the SSS criterion?

• At least one pair of corresponding angles is congruent.

• The triangles have the same perimeter.

• All pairs of corresponding sides are of equal length.

• The triangles are similar.

Answer explanation

The necessary condition for two triangles to be congruent by the SSS criterion is that all pairs of corresponding sides are of equal length.

Tags

CCSS.HSG.SRT.B.5

• A
• B
• C
• D

Tags

CCSS.HSG.SRT.B.5