Congruent Figures

Front

What does it mean for two figures to be congruent?

Back

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

Front

What is the symbol for congruence?

Back

Front

If ∆ABC ≌ ∆DEF, what can we say about their corresponding sides and angles?

Back

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

Front

How can you prove that two triangles are congruent?

Back

You can prove two triangles are 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

If ∆LMK ≅ ∆LMT, what can we conclude about side MK?

Back

Side MK is congruent to side MT.

Front

What is the relationship between the angles of congruent triangles?

Back

The corresponding angles of congruent triangles are equal.

Front

If two triangles are congruent, how do their areas compare?

Back

The areas of congruent triangles are equal.

Front

What is the significance of the congruence symbol in geometry?

Back

The congruence symbol indicates that two figures are identical in shape and size, allowing for the comparison of geometric properties.

Front

If ∆PRS ≅ ∆CFH, what can we say about the lengths of corresponding sides?

Back

The lengths of corresponding sides of ∆PRS and ∆CFH are equal.

Front

What does the term 'corresponding parts' refer to in congruent figures?

Back

'Corresponding parts' refer to the sides and angles that match between two congruent figures.