Exploring Ratio and Proportion in Honors Geometry

What method is commonly used to solve proportions?

• Subtraction

• Addition

• Cross multiplication

• Division

Which of the following is NOT a way to write a ratio?

• 1/2

• 1 to 2

• 1:2

• 1+2

In a proportion, what are the 'means'?

• The sum of all numbers

• The difference between the numbers

• The two outside numbers

• The two middle numbers

If 2/3 = 8/x, what is the value of x?

• 10

• 12

• 16

• 14

What is the fourth proportional of a/3b = 6/x?

• 18b/a

• a/18b

• 6a/b

• 3a/18b

What is the geometric mean between 3 and 27?

• 6

• 9

• 15

• 12

How do you find the arithmetic mean between two numbers?

• Divide the larger number by the smaller one

• Subtract the smaller number from the larger one

• Add the numbers and divide by 2

• Multiply the numbers and take the square root

What is the mean proportional between 4 and 12?

• 8

• 16

• 4√3

• 6

If 6 is the geometric mean between 12 and another number, what is that number?

• 18

• 9

• 24

• 3

In the algebraic proof, what is added to both sides to maintain equality?

• B

• D

• 1

• 0