Similarity Review

Front

What is the definition of similarity in geometry?

Back

Similarity in geometry refers to two figures that have the same shape but may differ in size. Corresponding angles are equal, and corresponding sides are in proportion.

Front

What is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures. It indicates how much one figure is enlarged or reduced compared to the other.

Front

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

Back

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

Front

If triangle ABC is similar to triangle DEF, and the length of AB is 4 cm and DE is 8 cm, what is the scale factor?

Back

The scale factor is 2:1, meaning triangle DEF is twice the size of triangle ABC.

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 two similar rectangles are in the ratio 3:5, what is the ratio of their areas?

Back

The ratio of their areas is 3²:5², which simplifies to 9:25.

Front

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

Back

To find the height of an object using similar triangles, you can set up a proportion based on the lengths of corresponding sides of the triangles formed.

Front

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

Back

Height of the tree = (Distance from the mirror to the observer) x (Height of the observer's eye level) / (Distance from the mirror to the tree).

Front

If a photo is scaled down from 6 in. to 3 in. in height, what is the new width if the original width was 4 in.?

Back

The new width should be 2 in. to maintain the same aspect ratio.

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size, meaning all corresponding sides and angles are equal.