6.MG.4.b - Similarity and Congruence

Front

What does it mean for two shapes to be congruent?

Back

Two shapes are congruent if they have the same size and shape. This means all corresponding sides and angles are equal.

Front

What does it mean for two shapes to be similar?

Back

Two shapes are similar if they have the same shape but not necessarily the same size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

If quadrilateral ABCD is congruent to quadrilateral EFGH, what can we say about their corresponding sides and angles?

Back

The corresponding sides and angles of quadrilateral ABCD and quadrilateral EFGH are equal.

Front

What is the symbol for congruence?

Back

The symbol for congruence is '≅'.

Front

If angle E is 60 degrees, what can we conclude about angle G if ABCD ≅ EFGH?

Back

Angle G is also 60 degrees because corresponding angles in congruent shapes are equal.

Front

What is the relationship between the sides of similar shapes?

Back

The lengths of corresponding sides of similar shapes are proportional.

Front

If side GH of a shape is 12 cm, what can we say about the corresponding side in a congruent shape?

Back

The corresponding side in the congruent shape will also be 12 cm.

Front

What is the difference between congruence and similarity?

Back

Congruence means shapes are identical in size and shape, while similarity means shapes have the same shape but may differ in size.

Front

If two triangles are congruent, how many pairs of corresponding sides and angles are equal?

Back

All three pairs of corresponding sides and all three pairs of corresponding angles are equal.

Front

What is a corresponding side in congruent shapes?

Back

A corresponding side is a side that is in the same position in two different shapes that are congruent.