Dilation, symmetry, and composition of transformations

Front

What is the algebraic notation for a dilation with a scale factor of 3?

Back

(x, y) goes to (3x, 3y)

Front

True or False: A dilation produces a congruent figure.

Back

False

Front

What are the coordinates of the image after dilating the points A(3,3), B(6,6), and C(9,3) by a scale factor of 3 with the origin as the center of dilation?

Back

A'(9,9), B'(18,18), C'(27,9)

Front

What transformation occurs from triangle ABC to triangle A'B'C' if A'B'C' is a reflection across the x-axis?

Back

Reflection across the x-axis.

Front

If the point (8, 12) is dilated to become point (2, 3), what is the scale factor?

Back

¼

Front

Define dilation in the context of transformations.

Back

Dilation is a transformation that alters the size of a figure but not its shape, using 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

How does a dilation affect the coordinates of a point?

Back

The coordinates of a point (x, y) are multiplied by the scale factor.

Front

What is the effect of a scale factor greater than 1 in a dilation?

Back

It enlarges the figure.

Front

What is the effect of a scale factor less than 1 in a dilation?

Back

It reduces the figure.