Similar Polygons

Front

What is the definition of similar polygons?

Back

Similar polygons are polygons that have the same shape but may differ in size. Their corresponding angles are equal, and the lengths of their corresponding sides are proportional.

Front

How do you determine if two polygons are similar?

Back

Two polygons are similar if their corresponding angles are equal and the lengths of their corresponding sides are in proportion.

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second. It is often expressed as 'a:b'.

Front

How do you solve for a variable in a proportion?

Back

To solve for a variable in a proportion, cross-multiply the terms and then isolate the variable.

Front

What is the cross-multiplication method?

Back

The cross-multiplication method involves multiplying the numerator of one fraction by the denominator of the other fraction to find a relationship between the two fractions.

Front

What is the formula for finding the scale factor between two similar polygons?

Back

The scale factor is found by dividing the length of a side of one polygon by the corresponding side of the other polygon.

Front

If two similar triangles have a scale factor of 2:3, what does this mean?

Back

This means that for every 2 units of length in the first triangle, there are 3 units of length in the second triangle.

Front

How can you find the missing length of a side in similar polygons?

Back

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

Front

What is the relationship between the areas of two similar polygons?

Back

The ratio of the areas of two similar polygons is equal to the square of the ratio of their corresponding side lengths.

Front

How do you apply the concept of similar polygons to real-world problems?

Back

You can apply the concept of similar polygons to real-world problems by using ratios and proportions to solve for unknown measurements in similar shapes.