Q2W8 Geo Ratios, Proportions, Scale Factor Flashcard

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In geometry, it is the ratio of the lengths of two corresponding sides of similar figures.

Front

If two figures are similar, what can be said about their corresponding sides?

Back

The corresponding sides of similar figures are in proportion.

Front

How do you find the missing side length in similar figures?

Back

To find the missing side length, set up a proportion using the lengths of the corresponding sides of the similar figures.

Front

Solve for x: 2/3 = x/9

Back

x = 6

Front

If the scale factor of two similar triangles is 2:3, and the length of one side of the smaller triangle is 6, what is the length of the corresponding side in the larger triangle?

Back

The length of the corresponding side in the larger triangle is 9.

Front

What is the formula for the perimeter of a triangle?

Back

The perimeter of a triangle is the sum of the lengths of all its sides.

Front

Find the perimeter of a triangle with sides of lengths 10, 12, and 14.

Back

The perimeter is 10 + 12 + 14 = 36.

Front

If a triangle has a perimeter of 36 and one side is 10, what is the sum of the other two sides?

Back

The sum of the other two sides is 36 - 10 = 26.