Scale Drawings

Front

What are scale drawings?

Back

Scale drawings are representations of objects that are proportionally reduced or enlarged in size, maintaining the same shape and angles.

Front

What does it mean for angles in similar figures?

Back

All angles in similar figures are congruent, meaning they have the same measure.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In scale drawings, it represents the ratio of a length in the drawing to the corresponding length in the actual object.

Front

If a scale drawing has a scale of 1/4 inch = 10 feet, how do you find the height of a building in the drawing?

Back

To find the height in the drawing, divide the actual height by the scale factor. For example, a 360 feet tall building would be 360 feet / 10 feet per 1/4 inch = 9 inches in the drawing.

Front

How do you convert measurements from a scale drawing to actual size?

Back

To convert measurements, multiply the measurement in the drawing by the scale factor.

Front

What is the actual width of a pool if it measures 26 centimeters in a scale drawing with a scale of 2 cm : 1 m?

Back

The actual width of the pool is 26 cm * (1 m / 2 cm) = 13 m.

Front

What is the relationship between similar figures?

Back

Similar figures have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What does it mean if a polygon is a scaled copy of another?

Back

It means that the polygon has been resized using a scale factor, maintaining the same shape and angles.

Front

If the scale factor is 1/4, what does that indicate?

Back

A scale factor of 1/4 indicates that the drawing is one-fourth the size of the actual object.

Front

How do you determine the scale factor from a drawing to the actual object?

Back

To determine the scale factor, divide the length of a side in the actual object by the corresponding length in the drawing.