Similar Shapes and Scale Drawings

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object or area that is proportionally reduced or enlarged to fit on paper, using a specific ratio to represent actual dimensions.

Front

What does it mean for shapes to be similar?

Back

Shapes are similar if they have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

If a scale is 1 inch = 300 miles, how do you find the actual distance for 3 inches?

Back

Multiply the number of inches by the scale factor: 3 inches x 300 miles/inch = 900 miles.

Front

What is the formula to find the actual height of an object from a scale drawing?

Back

Actual height = Height in drawing x Scale factor.

Front

If a drawing of a flagpole is 12 inches tall and the scale is 1 inch = 4 feet, how tall is the actual flagpole?

Back

Actual height = 12 inches x 4 feet/inch = 48 feet.

Front

What is the relationship between the sides of similar figures?

Back

The sides of similar figures are proportional, meaning the ratios of corresponding sides are equal.

Front

If the actual width of a backyard is 49 feet and the scale is 1 inch = 7 feet, how wide is it in the drawing?

Back

Width in drawing = Actual width / Scale factor = 49 feet / 7 feet/inch = 7 inches.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

If two similar shapes have a scale factor of 2:1, what does this mean?

Back

It means that for every 2 units in one shape, there is 1 unit in the other shape, indicating that one shape is twice as large as the other.

Front

How do you determine if two figures are similar?

Back

To determine if two figures are similar, check if their corresponding angles are equal and if the ratios of their corresponding sides are equal.