Dilations Practice

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

What is the scale factor in a dilation?

Back

The scale factor is a number that scales, or multiplies, the coordinates of a figure during a dilation.

Front

If a point (x, y) is dilated by a scale factor of k, what is the new coordinate?

Back

The new coordinate is (kx, ky).

Front

What happens to the coordinates of a point when it is dilated by a scale factor less than 1?

Back

The coordinates of the point will decrease, making the figure smaller.

Front

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

Back

The coordinates of the point will increase, making the figure larger.

Front

How do you find the perimeter of a triangle given the lengths of its sides?

Back

Add the lengths of all three sides together.

Front

What is a midsegment in a triangle?

Back

A midsegment is a line segment that connects the midpoints of two sides of a triangle.

Front

How does the length of a midsegment compare to the lengths of the sides it connects?

Back

The length of a midsegment is half the length of the side it is parallel to.

Front

What is the formula for dilating a point A(x, y) by a scale factor of k?

Back

A' = (kx, ky).

Front

If triangle ABC is dilated to triangle A'B'C' with a scale factor of 2, what is the relationship between their corresponding sides?

Back

The sides of triangle A'B'C' are twice the length of the corresponding sides of triangle ABC.