Similar Figures & Scale Drawings

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

What is a scale drawing?

Back

A scale drawing is a representation of an object or a place that is proportionally smaller or larger than the actual size, using a specific ratio.

Front

How do you set up a proportion for similar figures?

Back

To set up a proportion, compare the lengths of corresponding sides of the similar figures. For example, if figure A has a side length of 4 and figure B has a side length of x, the proportion can be set as 4/x = corresponding side lengths.

Front

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

Back

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

Front

What is the scale factor?

Back

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

Front

How do you find the height of an object using shadows?

Back

To find the height of an object using shadows, set up a proportion between the height of the object and the length of its shadow compared to another object with a known height and shadow length.

Front

What happens to the area of a shape when it is enlarged by a scale factor?

Back

When a shape is enlarged by a scale factor of k, the area increases by a factor of k².

Front

If a rectangle has a length of 10 cm and a width of 5 cm, what is its area?

Back

The area of the rectangle is 10 cm x 5 cm = 50 cm².

Front

If a building casts a shadow that is twice as long as a tree's shadow, how does the height of the building compare to the height of the tree?

Back

If the shadows are in proportion, the height of the building will also be twice the height of the tree.

Front

What is the relationship between the sides of similar triangles?

Back

The sides of similar triangles are proportional, meaning the ratios of the lengths of corresponding sides are equal.