Congruent & Similar Transformations

Front

What is a congruent transformation?

Back

A transformation that preserves the size and shape of a figure, resulting in a figure that is identical to the original.

Front

What is a similar transformation?

Back

A transformation that changes the size of a figure but keeps its shape, resulting in a figure that is proportional to the original.

Front

What happens to the coordinates of a point (x, y) when it is rotated 180° about the origin?

Back

The new coordinates will be (-x, -y).

Front

What are the coordinates of point A (1, 2) after a 90° clockwise rotation?

Back

(2, -1) using the rule (x, y) → (y, -x).

Front

What is the scale factor in dilation?

Back

The ratio of the length of a side of the image to the length of the corresponding side of the original figure.

Front

If the scale factor is less than one, what type of transformation occurs?

Back

A reduction.

Front

What is the result of dilating a point (3, 4) by a scale factor of 2?

Back

(6, 8).

Front

How do you determine if two figures are congruent?

Back

If they have the same size and shape.

Front

What is the effect of a scale factor of 1 on a figure?

Back

The figure remains unchanged.

Front

What are the coordinates of point B (4, -3) after a 90° counterclockwise rotation?

Back

(-3, -4) using the rule (x, y) → (-y, x).