Geometric Proportions

Find the geometric mean for 9 and 24.

• √216

• 3√6

• 6√6

• 2√6

Tags

CCSS.8.EE.A.2

• A

• B

• C

• D

Tags

CCSS.HSA.REI.A.2

• ^c/_d

• ^d/_c

• cd

• x²

Find the geometric mean between the two numbers.

2 and 18

• 3

• 8

• 6

• 5

Find the geometric mean between the two numbers.

4 and 25

• 23

• 15

• 10

• 1

Find x. (Set up proportion to solve.)

• 8

• 9

• 10

• 11

Tags

CCSS.HSG.SRT.A.2

Find x. Hint (set up proportion to solve)

• 2.5

• 3.5

• 4.5

• 5.5

Tags

CCSS.HSG.CO.C.10

Find x. Hint (set up proportion to solve)

• 17.5

• 20

• 22.5

• 25

Tags

CCSS.HSG.SRT.B.4

Are the triangles similar? And what postulate or theorem?

• Yes; Triangle XYZ is similar to triangle JKL; SAS

• Yes; Triangle XYZ is similar to triangle JKL; AA

• Yes; Triangle XYZ is similar to triangle JKL; SSS

• The triangles are not congruent.

Tags

CCSS.HSG.SRT.B.5

A crate is 1.5 ft high and casts a 2-ft shadow. At the same time, an apple tree casts an 18-ft shadow. How tall is the tree? (Set up proportion to solve)

Hint - draw a picture!

• 9 ft

• 10.5 ft

• 12 ft

• 13.5 ft

Tags

CCSS.HSG.SRT.C.8