Similar Figures 2

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and the lengths of their corresponding sides are proportional.

Front

How do you find the missing side of similar figures?

Back

To find the missing side of similar figures, set up a proportion using the lengths of the corresponding sides of the figures.

Front

If two triangles are similar, what can you say about their angles?

Back

If two triangles are similar, their corresponding angles are equal.

Front

What is the scale factor in similar figures?

Back

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

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 6 cm and side DE is 9 cm, what is the scale factor?

Back

The scale factor is 9/6 or 3/2.

Front

How do you determine if two figures are similar?

Back

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

Front

What is the relationship between the areas of two similar figures?

Back

The ratio of the areas of two similar figures is equal to the square of the ratio of their corresponding side lengths.

Front

If the sides of a triangle are in the ratio 2:3, what is the ratio of their areas?

Back

The ratio of their areas is 2²:3², which is 4:9.

Front

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

Back

You can use a mirror to find the height of an object by standing at a distance where you can see the top of the object in the mirror, creating similar triangles.

Front

If a tree's height is represented as 'h' and the distance from the mirror to the tree is 'd', what is the relationship in similar triangles?

Back

The height of the tree (h) and the distance to the mirror (d) create a proportion with the height of your eyes and your distance from the mirror.