Day 75: Scale Drawings & Similar Figures

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 a specific size, maintaining the same ratios as the original.

Front

What does the scale 1 in = 300 miles mean?

Back

It means that every 1 inch on the drawing represents 300 actual miles in real life.

Front

How do you calculate actual distance using a scale?

Back

Multiply the measurement on the scale drawing by the scale factor. For example, if the scale is 1 in = 300 miles and the drawing shows 3 in, the actual distance is 3 in x 300 miles/in = 900 miles.

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 sides are in proportion.

Front

How do you find a missing side length in similar triangles?

Back

Use the proportion of the corresponding sides of the triangles. Set up a ratio and solve for the missing length.

Front

What is the formula for the area of a rectangle?

Back

Area = length x width.

Front

If a scale drawing has a scale of 1 in = 3 ft, how do you find the area in square feet?

Back

Convert the dimensions from inches to feet using the scale, then use the area formula: Area = length x width.

Front

What is the height of the actual Gateway Arch if a model is 2 ft tall and the scale is 3 in : 78.75 ft?

Back

To find the actual height, set up a proportion: (2 ft / height) = (3 in / 78.75 ft). Solve for height to find it is 630 ft.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you convert inches to feet?

Back

Divide the number of inches by 12, since there are 12 inches in a foot.