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 symbol for congruence?

Back

The symbol for congruence is '≅'.

Tags

CCSS.8.G.A.2

Front

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

Back

Angle A is congruent to angle D, angle B is congruent to angle E, and angle C is congruent to angle F.

Tags

CCSS.HSG.CO.B.7

Front

What is the Side-Angle-Side (SAS) Congruence Postulate?

Back

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 is the Angle-Side-Angle (ASA) Congruence Postulate?

Back

If two angles and the included side of one triangle are congruent 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 Side-Side-Side (SSS) Congruence Postulate?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the Angle-Angle (AA) Similarity Postulate?

Back

If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar (not necessarily congruent).

Tags

CCSS.HSG.SRT.B.5

Front

How do you denote corresponding sides in congruent triangles?

Back

Corresponding sides are denoted by the same letters in the congruence statement, e.g., if \( \Delta ABC \cong \Delta DEF \), then \( \overline{AB} \cong \overline{DE} \), \( \overline{BC} \cong \overline{EF} \), and \( \overline{CA} \cong \overline{FD} \).

Tags

CCSS.HSG.CO.B.7

Front

What is a congruence statement?

Back

A statement that shows two geometric figures are congruent, typically written in the form \( \Delta ABC \cong \Delta DEF \).

Tags

CCSS.8.G.A.2

Front

If \( \Delta XYZ \cong \Delta PQR \), which side corresponds to \( \overline{XY} \)?

Back

The side \( \overline{PQ} \) corresponds to \( \overline{XY} \).

Tags

CCSS.HSG.CO.B.7