Congruent Parts

Front

What does it mean for two shapes to be congruent?

Back

Two shapes are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What is the symbol for congruence?

Back

The symbol for congruence is '≅'.

Front

If ∆ABC ≅ ∆DEF, what can we say about the corresponding sides and angles?

Back

The corresponding sides and angles of ∆ABC and ∆DEF are equal.

Front

What is a congruent angle?

Back

A congruent angle is an angle that has the same measure as another angle.

Front

If two triangles are congruent, how many pairs of corresponding sides and angles are congruent?

Back

All three pairs of corresponding sides and all three pairs of corresponding angles are congruent.

Front

What is the relationship between congruent segments?

Back

Congruent segments are line segments that have the same length.

Front

If ∆XYZ ≅ ∆PQR, what is the congruence statement for the corresponding angles?

Back

m∠X = m∠P, m∠Y = m∠Q, m∠Z = m∠R.

Front

How can you prove that two triangles are congruent?

Back

You can prove two triangles are congruent using methods 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).

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, which means if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, which means 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.