Congruent Figures

Front

What are congruent figures?

Back

Congruent figures are shapes that are identical in size and shape. They can be rotated, reflected, or translated, but they remain the same in dimensions.

Front

What does the symbol '≅' represent in geometry?

Back

The symbol '≅' means 'is congruent to'. It is used to indicate that two figures have the same shape and size.

Front

How do you write a congruence statement for two triangles?

Back

A congruence statement for triangles is written as ΔABC ≅ ΔDEF, indicating that triangle ABC is congruent to triangle DEF.

Front

If two angles are congruent, what does that mean?

Back

If two angles are congruent, it means they have the same measure in degrees.

Front

What is the relationship between corresponding sides of congruent triangles?

Back

In congruent triangles, corresponding sides are equal in length.

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 is the significance of congruence in real life?

Back

Congruence is important in real life for design, architecture, and engineering, ensuring that parts fit together correctly.

Front

If side AB is congruent to side AE, what can we say about their lengths?

Back

If side AB is congruent to side AE, then the lengths of AB and AE are equal.

Front

What does it mean if two shapes are similar but not congruent?

Back

If two shapes are similar but not congruent, they have the same shape but different sizes.

Front

Can congruent figures be different colors?

Back

Yes, congruent figures can be different colors; color does not affect their congruence.