Congruent Triangles

Front

What are congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What does the symbol '≅' represent in geometry?

Back

It represents that two figures are congruent.

Tags

CCSS.8.G.A.2

Front

What is the AAS (Angle-Angle-Side) congruence criterion?

Back

AAS states that if two angles and the non-included side of one triangle are congruent to two angles and the non-included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

How can you determine if two triangles are congruent using the SSS (Side-Side-Side) criterion?

Back

If all three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SAS (Side-Angle-Side) congruence criterion?

Back

SAS states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does it mean for angles to be 'obtuse'?

Back

An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees.

Tags

CCSS.4.G.A.1

Front

What is the relationship between corresponding angles in congruent triangles?

Back

Corresponding angles in congruent triangles are equal.

Tags

CCSS.HSG.CO.B.7

Front

What is the relationship between corresponding sides in congruent triangles?

Back

Corresponding sides in congruent triangles are equal in length.

Tags

CCSS.8.G.A.2

Front

How can you classify triangles based on their angles?

Back

Triangles can be classified as acute (all angles < 90°), right (one angle = 90°), or obtuse (one angle > 90°).

Tags

CCSS.4.G.A.2

Front

What is the significance of the symbol '∠'?

Back

The symbol '∠' is used to denote an angle.