HW 7.6 & 7.7 - Dilations, Scales, & Models

Front

What is a scale in modeling?

Back

A scale is a ratio that compares the dimensions of a model to the dimensions of the actual object it represents.

Front

If a model is 2 ft wide and the actual object is 200 yd wide, what is the scale?

Back

1 foot = 100 yards.

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but keeps its shape, using a scale factor.

Front

What does an enlargement mean in dilation?

Back

An enlargement means the figure increases in size, with a scale factor greater than 1.

Front

What does a reduction mean in dilation?

Back

A reduction means the figure decreases in size, with a scale factor less than 1.

Front

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

Back

Multiply the length on the drawing by the scale factor.

Front

If a scale is 0.5 inches for every 45 miles, how long is a 4-inch drawing?

Back

360 miles.

Front

What happens to the length of a side of a triangle if it undergoes a dilation with a scale factor of 2?

Back

The length will double.

Front

If a triangle has a side of 4 units and is dilated by a scale factor of 2, what is the new length?

Back

8 units.

Front

What are the coordinates of a point after dilation with a scale factor of 2?

Back

Multiply each coordinate by the scale factor.