Dilations and Sequences

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but not its shape, using a center point and a scale factor.

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

What happens to the coordinates of a point (x, y) under a dilation with center at the origin and scale factor k?

Back

The new coordinates will be (kx, ky).

Front

If a triangle is dilated by a scale factor of 2, what happens to its area?

Back

The area of the triangle will be multiplied by the square of the scale factor, so it will be 4 times larger.

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a figure around a point, while a reflection flips a figure over a line.

Front

What is the result of a dilation with a scale factor less than 1?

Back

The figure will be reduced in size.

Front

What is the result of a dilation with a scale factor greater than 1?

Back

The figure will be enlarged.

Front

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

Back

Multiply the coordinates of the point by the scale factor.

Front

What does it mean for figures to be congruent?

Back

Congruent figures have the same shape and size.

Front

What does it mean for figures to be similar?

Back

Similar figures have the same shape but may differ in size.