Properties Of Parallel Lines And Angles Formed By Intersecting Lines Worksheet printable pdf download

Properties Of Parallel Lines And Angles Formed By Intersecting Lines Worksheet

Name: ____________________________________________________________ Period:_________ Date: _________

Properties of Parallel Lines

In this investigation, you’ll discover relationships among the angles formed when parallel lines are intersected by a third

line called a transversal.

Step 1) Open the “Properties of Parallel Lines” file in Sketch Explorer.

Step 2) Drag points A and B and look for relationships among the angle measures. You can also drag the transversal.

You will use your findings to answer the questions below.

Q1) When two parallel lines are crossed by a transversal, the pairs of angles formed have specific names and properties.

The chart below shows one example of each type of angle pair. Fill in the chart with a second angle pair of each type,

then state the relationship, if any, you observe between the angles in a pair type.

Angle Type

Pair 1

Pair 2

Relationship

∠

and ∠

Corresponding

∠

and ∠

Alternate Interior

∠

and ∠

Alternate Exterior

∠

and ∠

Same Side Interior

∠

and ∠

Same Side Exterior

Q2) One of the angle types has more than two pairs. Name that angle type in the chart below, and name the third and

fourth pairs of angles of that type. Specify their relationship.

Angle Type

Pair 3

Pair 4

Relationship

Q3) There are eight angles formed by two parallel lines intersected by a transversal. What is the minimum number of

angles you would need to know in order to find the measure of each of the other angles? Support your claim with an

example (including a sketch).

Properties Of Parallel Lines And Angles Formed By Intersecting Lines Worksheet