Dilations Warm Up

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, using a scale factor.

Front

What does the notation (x, y) → (kx, ky) represent in dilations?

Back

This notation represents a dilation where each coordinate (x, y) of a point is multiplied by a scale factor k.

Front

If a triangle is dilated by a scale factor greater than 1, what type of transformation occurs?

Back

An enlargement occurs when a triangle is dilated by a scale factor greater than 1.

Front

If a triangle is dilated by a scale factor less than 1, what type of transformation occurs?

Back

A reduction occurs when a triangle is dilated by a scale factor less than 1.

Front

How do you find the coordinates of a point after dilation?

Back

Multiply the original coordinates of the point by the scale factor.

Front

What are the coordinates of point C (3, -1) after a dilation by a scale factor of 2?

Back

The coordinates of point C' would be (6, -2).

Front

What is the scale factor if the original point C (3, -1) is dilated to C' (1.5, -0.5)?

Back

The scale factor is 0.5.

Front

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

Back

A scale factor of 1 means the figure remains unchanged in size.

Front

How do you determine if a dilation is an enlargement or a reduction?

Back

Compare the scale factor to 1; if it's greater than 1, it's an enlargement; if less than 1, it's a reduction.

Front

What are the coordinates of point A (-2, 2) after a dilation by a scale factor of 2.5?

Back

The coordinates of A' would be (-5, 5).