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 proportional.

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object or a space that is proportionally reduced or enlarged to fit on paper, maintaining the same ratios of dimensions.

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 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 a scale drawing has a scale of 1:50, what does this mean?

Back

A scale of 1:50 means that 1 unit on the drawing represents 50 units in reality.

Front

How do you find the length of a side in a similar figure?

Back

To find the length of a side in a similar figure, use the scale factor to multiply or divide the length of the corresponding side in the original figure.

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

What is the formula for finding the area of a triangle?

Back

The area of a triangle can be found using the formula: Area = 1/2 * base * height.

Front

How can you use proportions to solve for unknown lengths in similar figures?

Back

Set up a proportion using the lengths of corresponding sides of the similar figures and solve for the unknown length.

Front

What is the importance of corresponding angles in similar figures?

Back

Corresponding angles in similar figures are important because they confirm that the figures are similar and help maintain the shape during scaling.