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 will always have the same 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

What must be true for two triangles to be congruent?

Back

For two triangles to be congruent, their corresponding sides and angles must be equal.

Front

What is a congruence statement?

Back

A congruence statement is a mathematical statement that shows two figures are congruent, such as ΔABC ≅ ΔDEF.

Front

How do you determine if two polygons are congruent?

Back

Two polygons are congruent if all their corresponding sides are equal in length and all their corresponding angles are equal in measure.

Front

What is the relationship between corresponding sides of congruent polygons?

Back

The corresponding sides of congruent polygons are always congruent, meaning they have the same length.

Front

What is the relationship between corresponding angles of congruent polygons?

Back

The corresponding angles of congruent polygons are always congruent, meaning they have the same measure.

Front

If ΔFGH ≅ ΔVHW, what can we say about their corresponding angles?

Back

If ΔFGH ≅ ΔVHW, then the corresponding angles ∠F, ∠G, and ∠H are equal to ∠V, ∠W, and ∠H respectively.

Front

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

Back

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

Front

What is the importance of order in congruence statements?

Back

The order in congruence statements is important because it indicates which vertices correspond to each other.