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 the lengths of their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

How do you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are equal and the ratios of the lengths of their corresponding sides are equal.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the scale factor in similar figures?

Back

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

Tags

CCSS.7.G.A.1

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.

Tags

CCSS.HSG.SRT.A.2

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 variable in similar figures?

Back

To solve for a variable in similar figures, set up a proportion based on the corresponding sides and cross-multiply to find the value of the variable.

Tags

CCSS.HSG.SRT.A.2

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.

Tags

CCSS.6.G.A.1

Front

What is the importance of corresponding angles in similar figures?

Back

Corresponding angles in similar figures are important because they must be equal for the figures to be considered similar.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

How can you use similar figures to solve real-world problems?

Back

Similar figures can be used in real-world problems to find unknown measurements, such as heights or distances, by applying the properties of similarity.

Tags

CCSS.HSG.SRT.B.5

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.