IM Geometry Unit 3 CYR

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

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.

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 the ratio of the length of a side of the image to the length of the corresponding side of the original figure.

Front

Are dilated figures congruent?

Back

No, dilated figures are not congruent; they are similar but not the same size.

Front

If triangle ABC is similar to triangle DEF, and the length of AB is 6 units and DE is 3 units, what is the scale factor?

Back

The scale factor is 0.5 (3/6).

Front

What is the relationship between the lengths of corresponding sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are proportional.

Front

If a point A is dilated from center C with a scale factor of k, how do you find the coordinates of the image A'?

Back

If A has coordinates (x, y), then A' will have coordinates (kx, ky).

Front

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

Back

A scale factor greater than 1 enlarges the figure.

Front

What is the effect of a scale factor less than 1 in dilation?

Back

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