6-7 Dilations, perimeter and area

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, using a scale factor.

Front

How does a scale factor affect the perimeter of a figure?

Back

The perimeter of a figure is multiplied by the scale factor during a dilation.

Front

How does a scale factor affect the area of a figure?

Back

The area of a figure is multiplied by the square of the scale factor during a dilation.

Front

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

Back

The perimeter is multiplied by 3.

Front

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

Back

The area is multiplied by 9 (3 squared).

Front

What is the relationship between the original triangle and its dilated image?

Back

The corresponding sides of the original triangle and its dilated image are proportional.

Front

What happens to the coordinates of a point (x, y) when dilated by a scale factor k?

Back

The new coordinates become (kx, ky).

Front

What is the effect of dilation on parallel lines?

Back

Dilation preserves the parallelism of lines; if two lines are parallel, their images after dilation will also be parallel.

Front

What is the relationship between the slopes of a line and its dilated image?

Back

The slope of a line remains unchanged after dilation.

Front

If a line segment is dilated by a scale factor of 2, what happens to its length?

Back

The length of the line segment is doubled.