Unit 5 - Similar Figures and Scale Factor

Front

What are Similar Figures?

Back

Similar Figures are shapes that have the same shape but may differ in size. Their corresponding angles are congruent, and their sides are in proportion.

Front

What does Scale Factor mean?

Back

Scale Factor is a number that describes how much a figure is enlarged or reduced. It is the ratio of the lengths of corresponding sides of similar figures.

Front

If the Scale Factor is greater than 1, what does it indicate?

Back

An enlargement of the figure.

Front

If the Scale Factor is less than 1, what does it indicate?

Back

A reduction of the figure.

Front

How do you set up a proportion to find a missing length in similar triangles?

Back

You can set up a proportion by comparing the lengths of corresponding sides of the triangles.

Front

What is the Scale Factor from a small triangle with a side length of 4 to a larger triangle with a side length of 12?

Back

The Scale Factor is 3.

Front

If Triangle A has sides of 6, 8, and 10, and Triangle B has sides of 12, 16, and 20, are they similar?

Back

Yes, they are similar because the sides are in proportion (1:2).

Front

What is the relationship between the angles of similar figures?

Back

The corresponding angles of similar figures are congruent.

Front

How can you use a mirror to find the height of a tree?

Back

By standing at a distance and using the reflection in the mirror, you can create similar triangles to calculate the height.

Front

If two similar figures have a Scale Factor of 1/2, what happens to their areas?

Back

The area of the smaller figure is 1/4 the area of the larger figure.