Congruent Triangles

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate that states if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate that states if two sides and the included angle of one triangle are congruent to two sides and the corresponding included angle of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if all three sides of one triangle are congruent to all three sides of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate that states if two angles and the included side of one triangle are congruent to two angles and the corresponding included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

Can two triangles be congruent if only one side is known to be equal?

Back

No, two triangles cannot be determined to be congruent with only one side known to be equal. More information is needed, such as angles or additional sides.

Tags

CCSS.8.G.A.2

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

If two triangles have two pairs of equal angles, what can be concluded about the triangles?

Back

If two triangles have two pairs of equal angles, the triangles are congruent by the AAS postulate.

Tags

CCSS.HSG.SRT.B.5

Front

What is the relationship between the sides and angles in congruent triangles?

Back

In congruent triangles, corresponding sides are equal in length, and corresponding angles are equal in measure.

Tags

CCSS.HSG.CO.B.7

Front

What is the significance of the included angle in the SAS postulate?

Back

The included angle in the SAS postulate is crucial because it is the angle formed between the two sides being compared, ensuring the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

Can two triangles be congruent if they have the same area but different shapes?

Back

No, two triangles cannot be congruent if they have the same area but different shapes. Congruent triangles must have the same shape and size.

Tags

CCSS.8.G.A.2