G. Congruent Triangles Postulates and Congruent Statements CFA

Front

What does it mean when we say ∆ABC≅∆XYZ?

Back

It means that triangle ABC is congruent to triangle XYZ, indicating that their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What is the SSS postulate?

Back

The Side-Side-Side (SSS) postulate states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the ASA postulate?

Back

The Angle-Side-Angle (ASA) postulate states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the AAS postulate?

Back

The Angle-Angle-Side (AAS) postulate states that if two angles and a non-included side of one triangle are equal 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 is the SAS postulate?

Back

The Side-Angle-Side (SAS) postulate states that if two sides and the included angle of one triangle are equal 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 triangles to be congruent?

Back

Triangles are congruent if they have the same size and shape, which means their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

If AB≅XY, what can we conclude about the triangles?

Back

If AB is congruent to XY, then the triangles that contain these sides are congruent in terms of their corresponding angles and other sides.

Tags

CCSS.8.G.A.2

Front

What is a congruence statement?

Back

A congruence statement is a mathematical statement that indicates that two geometric figures are congruent, typically written in the form ∆ABC≅∆XYZ.

Tags

CCSS.8.G.A.2

Front

What is the HL theorem?

Back

The Hypotenuse-Leg (HL) theorem states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of congruence in geometry?

Back

Congruence is significant in geometry as it allows us to determine that two shapes are identical in size and shape, which is essential for solving problems involving geometric figures.

Tags

CCSS.8.G.A.2