Ch 8.1: Understanding Geometric Mean

What is the geometric mean of 4 and 9?

• 6

• 2

• 3

• 5

What is the geometric mean of 25 and 4?

• 10

• 12

• 15

• 20

Tags

CCSS.HSS.ID.A.2

Fill in the blank: The geometric mean of two numbers a and b is the _______ of their product.

• sum

• square root

• cube root

• difference

Tags

CCSS.HSN.RN.A.2

If a = 1 and b = 100, what is the geometric mean?

• A) 10

• B) 20

• C) 30

• D) 40

What is the geometric mean between 3 and 27?

• 9

• 12

• 15

• 18

Which of the following triangles is similar to △CBD according to the example?

• △ACD

• △ABC

• △ABD

• △BCD

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

Fill in the blank: Triangle FHG is similar to triangle ____.

• A) EHF

• B) EFG

• C) FEG

• D) EHG

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

Fill in the blank: The geometric mean of two numbers a and b is given by the formula ____.

• (a + b)/2

• √(a * b)

• a^2 + b^2

• a/b

Find the missing side e in the right triangle RST using the Pythagorean theorem.

• 13.9

• 24

• 17.9

• 11.3

Tags

CCSS.HSG.SRT.B.4

These are the steps to find the geometric mean of 4 and 9. Once you get good at these, there are just two steps (multiply the two numbers together, then take the square root). When you solve a quadratic equation and square root both sides, in algebra you technically should get a positive or a negative answer. However, in geometry, the geometric mean MUST BE POSITIVE, so the only answer here is ___.

• -6

• 6

• 36

• 9

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4