Dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape, using a scale factor.

Front

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

Back

The figure undergoes an enlargement.

Front

What happens to a figure when the scale factor is less than 1?

Back

The figure undergoes a reduction.

Front

If Circle I is dilated to create Circle II with a scale factor of 8/3, what does this indicate about their sizes?

Back

Circle II is larger than Circle I.

Front

What is the scale factor if Triangle PQR is similar to Triangle DEF and the sides of Triangle PQR are twice as long?

Back

The scale factor is 2.

Front

How do you determine the scale factor between two similar figures?

Back

Divide the length of a side of the larger figure by the corresponding side of the smaller figure.

Front

What is the relationship between corresponding sides of similar triangles?

Back

The ratios of the lengths of corresponding sides are equal.

Front

If a triangle is dilated by a scale factor of 1/2, what happens to its area?

Back

The area is reduced to 1/4 of the original area.

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.

Front

What is the effect of a dilation on angles in a figure?

Back

Dilation does not change the measures of angles.