BW - Scale Factor & Extended Ratios

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. It is used to determine how much larger or smaller a figure is compared to the original.

Front

If the scale factor is less than 1, what happens to the figure?

Back

The figure undergoes a reduction, meaning it becomes smaller.

Front

If the scale factor is greater than 1, what happens to the figure?

Back

The figure undergoes an enlargement, meaning it becomes larger.

Front

What is the ratio of the measures of the sides of a triangle if the sides are in the ratio 4:9:8?

Back

The ratio of the measures of the sides of the triangle is 4:9:8.

Front

How do you find the perimeter of a triangle given the ratio of its sides?

Back

To find the perimeter, add the parts of the ratio together, then divide the total perimeter by this sum to find the value of one part.

Front

What is the measure of the shortest side of a triangle with a perimeter of 147 feet and a side ratio of 4:9:8?

Back

The measure of the shortest side is 28 feet.

Front

What is the ratio of the measures of the angles of a triangle if they are in the ratio 6:2:7?

Back

The ratio of the measures of the angles of the triangle is 6:2:7.

Front

How do you find the largest angle in a triangle given the ratio of its angles?

Back

To find the largest angle, first calculate the total parts of the ratio, then divide the total degrees in a triangle (180°) by this sum to find the value of one part.

Front

What is the measure of the largest angle in a triangle with angle ratios of 6:2:7?

Back

The measure of the largest angle is 84 degrees.

Front

What does it mean if two figures are similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size, and their corresponding sides are in proportion.