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12.03 Parallel lines and transversals

Worksheet
Parallel lines and transversals
1
a

How are parallel lines or segments marked on a diagram?

b

Draw an example of correctly marked parallel lines.

2

Identify the types of angles formed by the transveral in the following diagrams:

a
b
c
d
e
f
g
h
3

State whether the following types of angles are equal, complementary, or supplementary:

a
Alternate angles
b
Cointerior angles
c
Corresponding angles
4

For the marked angle in each the following diagrams, name the angle which is:

i

Alternate

ii

Cointerior

iii

Corresponding

a
b
5

For each of the following diagrams, state whether the diagram contains parallel lines. Explain your answer.

a
b
c
d
e
f
g
h
6

For each of the following diagrams, find the value of x giving reasons for your answer.

a
b
c
d
e
f
7

Consider the following diagram:

a

How are \angle BPD and \angle AQE related?

b

How are \angle AQE and \angle DQE related?

c

If \angle BPD = 84 \degree, find the value of \angle DQE.

8

Consider the following diagram:

If \angle APB = 107 \degree, find the value of \angle BQD showing all working and giving reasons.

9

Consider the following diagram:

If \angle DQF = 97 \degree, find the value of \angle EPF showing all working and giving reasons.

10

Consider the following diagram:

a

Find the value of x showing all working and giving reasons.

b

Find the value of y showing all working and giving reasons.

11

Explain why \angle FPE is supplementary to the marked angle in the given diagram.

Applications
12

For the following, solve for x.

a
b
c
13

For the following diagrams, solve for the values of x and y.

a
b
c
d
14

In the image of a parking lot shown, the lines on the sides of the parking spaces should be parallel. If \angle 3 = 51 \degree, what should the size of \angle 1 and \angle 2 be? Explain your reasoning.

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Outcomes

MA4-18MG

identifies and uses angle relationships, including those related to transversals on sets of parallel lines

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