Unit 3 Geometry Review (IM)

Front

What is the solution to the proportion 70/4 = x/35?

Back

x = 17.5

Front

Define similarity in geometry.

Back

Two figures are similar if there exists a sequence of rigid transformations and dilations that can map one figure onto the other.

Front

What is the center of dilation?

Back

The center of dilation is the fixed point in a dilation transformation from which all points are expanded or contracted.

Front

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

Back

The scale factor is the ratio of the lengths of corresponding sides of the two triangles.

Front

What is the scale factor from triangle ADE to triangle ACB if the corresponding sides are in the ratio of 3:1?

Back

The scale factor is 3.

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 center point and a scale factor.

Front

What is the relationship between similar polygons?

Back

Similar polygons have corresponding angles that are equal and corresponding sides that are proportional.

Front

How can you determine if two triangles are similar?

Back

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

Front

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

Back

A scale factor greater than 1 enlarges the figure.

Front

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

Back

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