Geometry Homework - 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 is the Congruence Postulate?

Back

A rule that states triangles are congruent if they satisfy any of the following: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), or HL (Hypotenuse-Leg for right triangles).

Tags

CCSS.HSG.SRT.B.5

Front

If ∠A ≅ ∠D, what can we say about triangles that include these angles?

Back

The triangles are congruent if the corresponding sides are also equal.

Tags

CCSS.HSG.CO.B.7

Front

What is the sum of the angles in a triangle?

Back

180 degrees.

Tags

CCSS.8.G.A.5

Front

If two angles of a triangle are known, how can you find the third angle?

Back

Subtract the sum of the known angles from 180 degrees.

Tags

CCSS.8.G.A.5

Front

What does it mean if two triangles are similar?

Back

They have the same shape but not necessarily the same size; their corresponding angles are equal, and their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the relationship between corresponding sides of congruent triangles?

Back

The lengths of corresponding sides of congruent triangles are equal.

Tags

CCSS.8.G.A.2

Front

If ∆ABC ≅ ∆XYZ, what can we conclude about side AB and side XY?

Back

AB ≅ XY.

Tags

CCSS.HSG.CO.B.7

Front

What is the Angle-Angle (AA) criterion for triangle similarity?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Tags

CCSS.HSG.SRT.A.2

Front

How do you denote that two angles are congruent?

Back

Using the symbol '≅' (for example, ∠A ≅ ∠B).

Tags

CCSS.8.G.A.2