Congruent Figures and Translations

Front

What does it mean when two figures are congruent?

Back

The figures are the same size and same shape.

Front

How can you determine if two figures are congruent?

Back

Check if they have the same size and shape.

Front

What is the symbol for congruence?

Back

The symbol for congruence is '≅'.

Front

If two triangles are congruent, what can be said about their corresponding sides and angles?

Back

Their corresponding sides and angles are equal.

Front

What is a translation in geometry?

Back

A translation is a slide of a figure in a straight line from one position to another without changing its size or shape.

Front

What happens to the coordinates of a figure during a translation?

Back

The coordinates change based on the translation vector, but the shape and size remain the same.

Front

If a triangle is translated 3 units to the right and 2 units up, what happens to its vertices?

Back

Each vertex's x-coordinate increases by 3 and y-coordinate increases by 2.

Front

Can two figures be congruent if one is rotated and the other is not?

Back

Yes, rotations do not affect congruence; they can still be congruent.

Front

What is the difference between congruent figures and similar figures?

Back

Congruent figures are the same size and shape, while similar figures have the same shape but different sizes.

Front

If two rectangles are congruent, what can be said about their lengths and widths?

Back

Their lengths and widths are equal.