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 their corresponding sides are in proportion.

Front

How do you find the height of an object using similar triangles?

Back

You can find the height of an object by using the properties of similar triangles and setting up a proportion based on the heights and distances involved.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. It is often used to solve problems involving similar figures.

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

The lengths of their corresponding sides are in the same ratio.

Front

What is the formula for finding the height of a tree using a mirror?

Back

Height of the tree = (Distance from the tree to the mirror) x (Height of the observer) / (Distance from the observer to the mirror).

Front

If a triangle has sides measuring 5 cm, 12 cm, and 13 cm, what is the ratio of its sides to a similar triangle with sides measuring 10 cm, 24 cm, and 26 cm?

Back

The ratio of the sides is 1:2.

Front

How do you solve for a missing side in similar triangles?

Back

Set up a proportion using the lengths of the corresponding sides of the triangles and solve for the missing side.

Front

What is the relationship between the angles of similar figures?

Back

The corresponding angles of similar figures are equal.

Front

If a triangle has sides of 6 cm, 8 cm, and 10 cm, what is the height of a similar triangle with a base of 12 cm?

Back

The height can be found using the ratio of the sides; it would be 8 cm.

Front

What is the significance of the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures, indicating how much larger or smaller one figure is compared to the other.