Similarity and Congruence

Front

What does congruent mean?

Back

Corresponding sides and angles are congruent.

Front

Are the triangles similar? (Example 1)

Back

Yes.

Front

Name the angle above: ∠ABC, ∠ACB, ∠BAC, ∠BCA.

Back

∠BAC.

Front

Name the angle above: ∠EDF, ∠EFD, ∠DEF, ∠DFE.

Back

∠EDF.

Front

Are the triangles similar? (Example 2)

Back

No.

Front

What is the definition of similar triangles?

Back

Triangles that have the same shape but not necessarily the same size; corresponding angles are equal and corresponding sides are proportional.

Front

What is the criteria for triangle similarity?

Back

AA (Angle-Angle), SSS (Side-Side-Side), and SAS (Side-Angle-Side) criteria.

Front

If two angles of one triangle are equal to two angles of another triangle, what can be said about the triangles?

Back

The triangles are similar.

Front

What does it mean for two figures to be similar?

Back

They have the same shape but may differ in size; corresponding angles are equal and corresponding sides are in proportion.

Front

How can you determine if two triangles are congruent?

Back

By using criteria such as SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), or HL (Hypotenuse-Leg for right triangles).