Practice 8.1: Similar Polygons

Front

What are similar polygons?

Back

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 ratios of the lengths of their corresponding sides are equal.

Front

What is a scale factor in similar polygons?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar polygons.

Front

Back

It means that for every 3 units of length in the smaller polygon, there are 4 units of length in the larger polygon.

Front

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

Back

Use the scale factor to set up a proportion between the lengths of corresponding sides.

Front

If the lengths of two corresponding sides are 6 and 12, what is the scale factor from the smaller to the larger polygon?

Back

Front

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

Back

The ratio of their areas is the square of the scale factor.

Front

Back

Front

What is the formula to find the area of a polygon?

Back

The area of a polygon can be calculated using various formulas depending on the type of polygon, such as base times height for rectangles or specific formulas for triangles, trapezoids, etc.

Front

If a triangle has sides of lengths 3, 4, and 5, and is similar to another triangle, what could be the lengths of the sides of the second triangle?

Back

The sides could be in the ratio of any multiple of 3, 4, and 5, such as 6, 8, and 10, or 9, 12, and 15.