Open Up 8th Grade Unit 2

Front

What is a scale factor in dilation?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a shape during dilation. If the scale factor is greater than 1, the shape enlarges; if it is less than 1, the shape shrinks.

Front

What happens to a shape when the scale factor is greater than 1?

Back

The shape increases in size.

Front

What does it mean for two shapes to be similar?

Back

Two shapes are similar if they have the same shape but may differ in size. This means their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is the center of dilation?

Back

The center of dilation is a fixed point in the plane about which all points are expanded or contracted during the dilation process.

Front

How do you determine if two shapes are similar based on their scale factors?

Back

If two shapes have different scale factors, they are not similar. If their corresponding angles are equal and their sides are proportional, they are similar.

Front

What is the dilation from a larger triangle to a smaller triangle if the scale factor is 1/3?

Back

The dilation from the larger triangle to the smaller triangle is a reduction by a scale factor of 1/3.

Front

What is the dilation from a smaller triangle to a larger triangle if the scale factor is 3?

Back

The dilation from the smaller triangle to the larger triangle is an enlargement by a scale factor of 3.

Front

What does it mean if two shapes are congruent?

Back

Two shapes are congruent if they are the same shape and size, meaning all corresponding sides and angles are equal.

Front

What is the relationship between dilation and similarity?

Back

Dilation creates similar shapes by enlarging or reducing a shape while maintaining the same proportions and angles.

Front

If a triangle has a scale factor of 4, what happens to its area?

Back

If a triangle's dimensions are scaled by a factor of 4, its area increases by a factor of 4^2, which is 16.