Dilations and Similarity

Front

What is Dilation?

Back

Dilation means to enlarge or reduce a shape.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size.

Front

What is the scale factor in a dilation?

Back

The scale factor is the ratio of the lengths of corresponding sides of the original figure to the dilated figure.

Front

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

Back

The area of the triangle is multiplied by the square of the scale factor, so it becomes 4 times larger.

Front

How do you find the coordinates of a point after dilation?

Back

Multiply the coordinates of the point by the scale factor.

Front

What is the relationship between the angles of similar figures?

Back

The corresponding angles of similar figures are equal.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 and side DE is 6, what is the scale factor?

Back

Front

What is a slope triangle?

Back

A slope triangle is a right triangle formed by the rise and run of a line, used to calculate the slope.

Front

How do you calculate the slope of a line using slope triangles?

Back

The slope is calculated as the ratio of the rise (vertical change) to the run (horizontal change).

Front

If triangle A has vertices A(1,2), B(3,4), and C(5,6), what are the coordinates after a dilation by a scale factor of 3?

Back

The new coordinates will be A'(3,6), B'(9,12), C'(15,18).