Geometry - Chapter 7 Review

Front

What is a proportion?

Back

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

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then isolate the variable.

Front

What is the scale factor in a map?

Back

The scale factor is the ratio of a distance on the map to the actual distance it represents.

Front

If the scale on a map is 1 inch = 20 miles, how do you find the actual distance for 3 inches?

Back

Multiply the number of inches by the scale factor: 3 inches x 20 miles/inch = 60 miles.

Front

What is the formula for finding the missing length in similar triangles?

Back

The formula is: (length1/length2) = (corresponding length1/corresponding length2).

Front

How do you find the missing side of a right triangle using the Pythagorean theorem?

Back

Use the formula a² + b² = c², where c is the hypotenuse.

Front

What is the definition of similar triangles?

Back

Similar triangles are triangles that have the same shape but may have different sizes; their corresponding angles are equal and their corresponding sides are proportional.

Front

What does it mean to solve for x in an equation?

Back

To solve for x means to find the value of x that makes the equation true.

Front

What is the relationship between the sides of a right triangle?

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Front

How do you convert a map distance to actual distance using a scale?

Back

Multiply the map distance by the scale factor to find the actual distance.