Similar Figures

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 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 has been enlarged or reduced compared to the other.

Front

If two triangles are similar, how can you find a missing side length?

Back

To find a missing side length in similar triangles, set up a proportion using the lengths of the corresponding sides and solve for the unknown.

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

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

Back

To solve for a missing side in similar figures, use the proportion of the corresponding sides and cross-multiply to find the unknown length.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: Area = 1/2 * base * height.

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 establish the proportionality of the sides.

Front

How can you apply the concept of similar figures in real-life situations?

Back

Similar figures can be applied in real-life situations such as architecture, engineering, and art, where maintaining proportions is essential.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. It is often used to solve for unknown values in similar figures.