Intro to Congruent Triangles

Front

What are congruent triangles?

Back

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

Front

If \( \Delta ABC \cong \Delta DEF \), what can we say about their corresponding angles?

Back

\( \angle A \cong \angle D \), \( \angle B \cong \angle E \), \( \angle C \cong \angle F \)

Front

What is the symbol for congruence?

Back

The symbol for congruence is \( \cong \).

Front

What does it mean if two angles are congruent?

Back

It means that the angles have the same measure.

Front

If \( \angle Q \cong \angle U \), what can we conclude?

Back

The measures of \( \angle Q \) and \( \angle U \) are equal.

Front

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

Back

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

Front

What is the Side-Side-Side (SSS) criterion for triangle congruence?

Back

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

Front

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

Back

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

If \( \Delta DEF \cong \Delta XYZ \), what can we say about their corresponding sides?

Back

\( DE \cong XY \), \( EF \cong YZ \), \( FD \cong ZX \)

Front

What does it mean for triangles to be similar?

Back

Triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.