Corresponding Parts of Congruent Triangles

Front

What are corresponding parts of congruent triangles?

Back

Corresponding parts of congruent triangles are angles and sides that are in the same relative position in two congruent triangles.

Front

If \( \Delta ABC \cong \Delta DEF \), what can we conclude about angle A?

Back

Angle A is congruent to angle D.

Front

What does the symbol \( \cong \) represent in geometry?

Back

The symbol \( \cong \) represents that two figures are congruent, meaning they have the same shape and size.

Front

If \( \Delta XYZ \cong \Delta TRS \), which side corresponds to side XY?

Back

Side TR corresponds to side XY.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

If \( \Delta DEF \cong \Delta RST \), what can we say about side DE?

Back

Side DE is congruent to side RS.

Front

What is the relationship between corresponding angles in congruent triangles?

Back

Corresponding angles in congruent triangles are equal.

Front

If \( \Delta LMK \cong \Delta LMT \), which angle corresponds to angle M in \( \Delta LMK \)?

Back

Angle T corresponds to angle M in \( \Delta LMK \).

Front

How can you determine if two triangles are congruent?

Back

Two triangles can be determined to be congruent 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).

Front

What does it mean if two triangles are not congruent?

Back

If two triangles are not congruent, it means they do not have the same shape and size; their corresponding sides and angles are not equal.