Scale Drawings/Similar Shapes

Front

What is a scale drawing?

Back

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

Front

What does the term 'scale' mean in the context of drawings?

Back

In drawings, 'scale' refers to the ratio of the size of the drawing to the actual size of the object it represents.

Front

If the scale is 1 in = 7 ft, how do you find the width of an object in a drawing?

Back

To find the width in the drawing, divide the actual width by the scale factor. For example, if the actual width is 49 ft, then 49 ft ÷ 7 ft/in = 7 in.

Front

What is the actual length of a room if it measures 5 cm on a blueprint with a scale of 3 cm = 4.5 m?

Back

To find the actual length, use the scale to convert: 5 cm × (4.5 m / 3 cm) = 7.5 m.

Front

What are corresponding sides in similar shapes?

Back

Corresponding sides are the sides of two or more similar shapes that are in the same relative position.

Front

What is the formula for finding the perimeter of a triangle?

Back

The perimeter of a triangle is found by adding the lengths of all three sides: P = a + b + c.

Front

If a model of a building is 20 in tall and the actual building is 50 in tall, what is the scale of the model?

Back

The scale is 20 in (model) : 50 in (actual) or simplified, 2:5.

Front

What is the difference between congruent sides and corresponding sides?

Back

Congruent sides are sides that are equal in length, while corresponding sides are sides that are in the same position in similar shapes.

Front

How do you calculate the scale factor between two similar shapes?

Back

The scale factor is calculated by dividing the length of a side of one shape by the length of the corresponding side of the other shape.

Front

What is the relationship between corresponding angles in similar shapes?

Back

Corresponding angles in similar shapes are equal in measure.