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7.5 Angle Bisector Theorem

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

According to the Triangle Angle Bisector Theorem, which proportion is set up correctly?

a)

6x=915\frac{6}{x}=\frac{9}{15}

b)

96=15x\frac{9}{6}=\frac{15}{x}

c)

x6=159\frac{x}{6}=\frac{15}{9}

d)

All of the above

2.

Find the missing length if the proportion is  12x=2025\frac{12}{x}=\frac{20}{25}  

a)

25

b)

15

c)

6

d)

16

3.

Find the missing length.

a)

25

b)

20

c)

21

d)

15

4.

Solve for x.

a)

7

b)

6

c)

10

d)

3

5.

Solve for x if the proportion for solving it is.
 96=x+78\frac{9}{6}=\frac{x+7}{8}  

a)

5

b)

10

c)

3

d)

8

6.

Solve for x if the proportion for solving it is
 924=155x+10\frac{9}{24}=\frac{15}{5x+10}  

a)

10

b)

9

c)

6

d)

5

7.

Solve for x.

a)

8

b)

4

c)

7

d)

5

8.

Solve for x.

a)

8

b)

7

c)

5

d)

10

9.

Which is the correct proportion for solving for x?

a)

5x+535=1644\frac{5x+5}{35}=\frac{16}{44}

b)

5x+535=1628\frac{5x+5}{35}=\frac{16}{28}

c)

1644=5x+535\frac{16}{44}=\frac{5x+5}{35}

d)

no solution

10.

Solve for x.

a)

3

b)

10

c)

9

d)

7