Parallel Lines and Proportional Parts

7.6 Proportional Parts of Parallel Lines

Math 2

EQ: Wednesday, February 28, 2024

• How do I solve for the proportional parts with parallel lines?

Triangle with

Parallel
Segment

3 Parallel

Lines with 2
Transversals

Triangle with

Angle

Bisector

a

d

c
b

f

e

3 Parallel Lines with 2 Transversals

Multiple Select

Which proportion(s) can be used to solve the missing side of the figure?

• $$\frac{20}{x}=\frac{28}{49}$$

• $$\frac{20}{28}=\frac{x}{49}$$

• $$\frac{x}{20}=\frac{28}{49}$$

• $$\frac{49}{x}=\frac{20}{28}$$

Multiple Choice

Find the missing side.

• 35

• 28

• 13

• 32

Math Response

Find the value of the red x.

Type answer here

Correct Answer: 9

Deg^°

Rad

Multiple Choice

Which proportion(s) can be used to solve the missing side of the figure?

• $$\frac{15}{x}=\frac{9}{15}$$

• $$\frac{15}{24}=\frac{x}{15}$$

• $$\frac{x}{24}=\frac{15}{15}$$

Math Response

Find the value of the missing side.

Type answer here

Correct Answer: 25

Deg^°

Rad

Multiple Choice

Which proportion can be used to represent the figure?

• $$\frac{6}{8}=\frac{x}{12}$$

• $$\frac{6}{x}=\frac{2}{12}$$

• $$\frac{12}{x}=\frac{6}{2}$$

• $$\frac{8}{12}=\frac{x}{6}$$

Math Response

Find the length of the missing side.

Type answer here

Correct Answer: 9

Deg^°

Rad

Math Response

Find the length of the missing side.

Type answer here

Correct Answer: 4

Deg^°

Rad

Triangle with Angle Bisector

a

d

c

b

​Notes: Write this down!!!

Multiple Select

Which proportion(s) can be used to represent this figure?

• $$\frac{9}{3}=\frac{12}{x}$$

• $$\frac{12}{9}=\frac{x}{3}$$

• $$\frac{3}{12}=\frac{x}{9}$$

• $$\frac{3}{9}=\frac{12}{x}$$

Math Response

Find the missing side.

Type answer here

Correct Answer: 4

Deg^°

Rad

Multiple Choice

Which proportion can be used to represent this figure?

• $$\frac{6}{x}=\frac{3}{4}$$

• $$\frac{9}{x}=\frac{3}{4}$$

• $$\frac{9}{3}=\frac{x}{4}$$

Math Response

Find the length of the missing side.

Type answer here

Correct Answer: 8

Deg^°

Rad

Multiple Choice

Which proportion can be used to represent this figure?

• $$\frac{12-x}{5}=\frac{x}{10}$$

• $$\frac{12}{10}=\frac{x}{5}$$

Math Response

Solve for the missing length.

Type answer here

Correct Answer: 8

Deg^°

Rad

Math Response

Find the missing length.

Type answer here

Correct Answer: 3

Deg^°

Rad

Math Response

Find the missing length.

Type answer here

Correct Answer: 2

Deg^°

Rad

Triangle with Parallel Segment

a

d
c

b

f

e

​Notes: Write this down!

Multiple Select

Which proportion(s) can be used to represent this figure?

• $$\frac{8}{20}=\frac{18}{x}$$

• $$\frac{8}{18}=\frac{20}{x}$$

• $$\frac{8}{20}=\frac{x}{18}$$

• $$\frac{x}{20}=\frac{8}{18}$$

Math Response

Find the missing side.

Type answer here

Correct Answer: 45

Deg^°

Rad

Multiple Select

Which of the proportion(s) can be used to represent the figure?

• $$\frac{3}{x}=\frac{8}{16}$$

• $$\frac{8}{16}=\frac{3}{x}$$

• $$\frac{8}{5}=\frac{16}{x}$$

• $$\frac{16}{5}=\frac{8}{x}$$

Math Response

Solve for the missing length.

Type answer here

Correct Answer: 6

Deg^°

Rad

Math Response

Solve for the missing length.

Type answer here

Correct Answer: 35

Deg^°

Rad

Math Response

Solve for the missing length.

Type answer here

Correct Answer: 14

Deg^°

Rad