Proportionality Theorems

Proportionality Theorems

Multiple Choice

If a line divides two sides of a triangle proportionally, then it is .......

• congruent to the third side.

• parallel to the third side

• perpendicular to the third side.

• twice the length of the third side

Multiple Choice

Find the length of $$\overline{AB}$$  

• 8

• 5

• 6

• 4

Multiple Choice

Find the length of AB

• 9

• 12

• 13

• 15

Multiple Choice

Determine whether $$\overline{QR}\parallel\overline{ST}$$  

• Yes, the lines are parallel

• No, the lines are not parallel

Multiple Choice

Determine whether $\overline{QR}\parallel\overline{ST}$

• Yes, the lines are parallel

• No, the lines are not parallel

Multiple Choice

Find the length of $$\overline{DF}$$  .

• 6

• 8

• 7.2

• 6.8

Multiple Choice

Find the length of $$\overline{HJ}$$  .

• 2

• 1.5

• 4

• 1.75

Multiple Choice

If $$\overline{BE}\parallel\overline{CF}$$  find the distance between point E and point F.

• 244

• 302

• 256

• 300

Multiple Choice

Find the value of z.

• 21

• 40

• 34

• 52

Multiple Choice

Find the value of "a".

• 9

• 12

• 18

• 40

Multiple Select

Select ALL of the following ratios that are true.

• $$\frac{3}{4}=\frac{x+7}{24}$$  

• $$\frac{3}{x+7}=\frac{4}{24}$$  

• $$\frac{3}{24}=\frac{4}{x+7}$$

• $$\frac{4}{x+7}=\frac{3}{24}$$  

Multiple Choice

Find the value of x.

• 4

• 8

• 3

• 5

Multiple Select

Select ALL of the following ratios that are true.

• $$\frac{x}{9}=\frac{10}{15}$$  

• $$\frac{9}{15}=\frac{x}{10}$$  

• $$\frac{x}{15}=\frac{10}{9}$$  

• $$\frac{10}{9}=\frac{15}{x}$$  

Multiple Select

Select ALL of the following ratios that are true.

• $$\frac{5}{x+8}=\frac{10}{x-8}$$  

• $$\frac{8}{x}=\frac{10}{5}$$  

• $$\frac{x}{5}=\frac{8}{10}$$  

• $$\frac{5}{x}=\frac{10}{8}$$  

Multiple Choice

What is the value of the missing segment?

• 15
• 25
• 15
• 16

Multiple Select

Select ALL ratios that are true.

• $$\frac{8}{20}=\frac{18}{x}$$  

• $$\frac{20}{28}=\frac{x}{x+18}$$  

• $$\frac{8}{28}=\frac{18}{x+18}$$  

• $$\frac{x}{20}=\frac{8}{18}$$  

Multiple Choice

Find the missing length indicated.

• 30
• 25
• 45
• 50

Multiple Choice

Find the value of x.

• 10
• 35
• 8
• None of these

Multiple Select

Select ALL ratios that are true.

• $$\frac{15}{x}=\frac{6}{25}$$  

• $$\frac{15}{6}=\frac{25}{x}$$  

• $$\frac{15}{25}=\frac{6}{x}$$  

• $$\frac{21}{25+x}=\frac{25}{x}$$

Multiple Choice

Solve for x.

• 8
• 6
• 5
• -8

Multiple Choice

Find the value of x.

• 5
• 8
• 3
• None of these