Dilations: Attributes, Scale Factor & Algebraic Representation

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but keeps its shape and proportions the same.

Front

What does the scale factor in dilation represent?

Back

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

Front

If a figure is dilated by a scale factor of 3, what happens to its dimensions?

Back

All dimensions of the figure are multiplied by 3, making it three times larger.

Front

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

Back

You use an apostrophe (') next to the letter, for example, A becomes A'.

Front

What is the scale factor if point A (8, 12) is dilated to point A' (2, 3)?

Back

The scale factor is ¼.

Front

What changes when a shape is dilated?

Back

The size of the shape changes, but its shape and angles remain the same.

Front

What are similar figures?

Back

Similar figures have the same shape but different sizes.

Front

What is the relationship between the scale factor and the coordinates of a dilated figure?

Back

The coordinates of the dilated figure are obtained by multiplying the original coordinates by the scale factor.

Front

If a triangle has vertices at (1, 2), (3, 4), and (5, 6), what are the coordinates after a dilation by a scale factor of 2?

Back

The new coordinates will be (2, 4), (6, 8), and (10, 12).

Front

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

Back

A scale factor less than 1 reduces the size of the figure.