Triangle Congruence (9/18-19/24)

Front

What does it mean for two triangles to be congruent?

Back

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

Front

What is the symbol used to denote triangle congruence?

Back

The symbol for triangle congruence is '≅'.

Front

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

Back

The corresponding sides are equal: \( \overline{AB} \cong \overline{DE}, \overline{BC} \cong \overline{EF}, \overline{CA} \cong \overline{FD} \).

Front

What is the corresponding angle to \( \angle K \) in \( \Delta LMK \cong \Delta LMT \)?

Back

The corresponding angle is \( \angle T \).

Front

How can you determine if two shapes are congruent?

Back

Two shapes are congruent if you can overlay one shape onto the other without any gaps or overlaps.

Front

What is the definition of corresponding sides in congruent triangles?

Back

Corresponding sides are the sides of two triangles that are in the same relative position.

Front

If \( \overline{IK} \) corresponds to \( \overline{VX} \), what does this imply?

Back

It implies that the lengths of \( \overline{IK} \) and \( \overline{VX} \) are equal.

Front

What is the relationship between angles in congruent triangles?

Back

In congruent triangles, corresponding angles are equal.

Front

What does the term 'congruence' mean in geometry?

Back

Congruence in geometry refers to figures that are identical in shape and size.

Front

If two triangles have two pairs of equal angles, what can be concluded?

Back

If two triangles have two pairs of equal angles, they are congruent by the Angle-Angle (AA) criterion.