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 scale to indicate the relationship between the drawing and the actual size.

Front

What does a scale of 1 cm = 3 m mean?

Back

It means that every 1 centimeter on the drawing represents 3 meters in real life.

Front

If a scale factor is less than one, what happens to the figure?

Back

The figure will be a reduction or scaled down.

Front

How do you calculate the actual length from a scale drawing?

Back

Multiply the length on the drawing by the scale factor to find the actual length.

Front

What is the actual length of a room that is 5 cm long on a blueprint with a scale of 3 cm = 4.5 m?

Back

7.5 m.

Front

What is the scale factor if a shape is enlarged from 2 cm to 6 cm?

Back

The scale factor is 3 (6 cm / 2 cm).

Front

If two shapes are similar, what does that mean?

Back

It means they have the same shape but may differ in size, with corresponding sides in proportion.

Front

What is the actual distance if the scale is 1 cm = 8 km and two cities are 24 cm apart on the map?

Back

192 km.

Front

What is the formula to find the scale factor?

Back

Scale Factor = Length of Image / Length of Actual Object.

Front

If a shape is scaled down by a factor of 0.5, what happens to its area?

Back

The area is reduced by a factor of 0.5^2, or 0.25 (it becomes 25% of the original area).