Proportionality and Geometric Mean

√6

• 6√4

• 2

• 4√6

• √6

Solve for the missing variables.

• x = 6.3 and y = 7.7

• x = 7.7 and y = 6

• x = 7.7 and y = 6.3

• x = 7.7 and y = 6

what is the value of x?

Find the value of x.

• 15√5

• 5√5

• 5√3

• 3√5

How far is it across the lake?

• 4

• 6

• 9

• 12

The two right triangles below are similar. What is x, the missing side length in triangle DEF? 

• 3.75

• 9.75

• 10

• 12

Find the height of the tree.

• 8 ft

• 12 ft

• 13 ft

• 15 ft

Choose the similarity statement for the triangles.

• ΔMNL ∼ ΔOPQ

• ΔNOM ∼ ΔPQL

• ΔLMN ∼ ΔPQO

• ΔMLN ∼ ΔPQO

In triangle proportionality theorem states that if a line intersects two sides of a triangle and is parallel to the third side, then it divides the first two sides____________.

• proportionally

• similarly

• perpendicularly

• equally

In a right triangle, the altitude to the hypotenuse is the ________  _________of the  segments  in the hypotenuse.  

• altitude

• leg opposite

• geometric mean

• opposite side