# Parallel Lines Cut By A Transversal

Author:
abosworth
Using the two figures below, answer the question that follows

Which figure shows a pair of parallel lines cut by a traversal. Explain your reasoning.

Lines AB and CD are parallel lines cut by traversal l. Use the picture to answer the questions below. Using the angle button, measure each of the numbered angles. Note: All angles should be less than 180 degrees.

## Question 1

State a pair of alternate interior angles. Do you notice any relationship (congruent, complementary, supplementary, none) between these two angles?

## Question 2

State a pair of alternate exterior angles. Do you notice any relationship between these two angles?

## Question 3

State a pair of same-side interior angles. Do you notice any relationship between these two angles?

## Question 4

State a pair of same-side exterior angles. Do you notice any relationship between these two angles?

## Question 5

State a pair of corresponding angles. Do you notice any relationship between these two angles?

## Question 6

State a pair of vertical angles. Do you notice any relationship between these two angles?

## Question 7

State a pair of supplementary angles. Could this pair of angles be classified as: same-side interior angles, same-side exterior angles, alternate interior angles, alternate exterior angles, corresponding angles or vertical angles?

Lines AB and CD are parallel lines cut by traversal l. Use the picture to answer the questions below. Using the angle button, measure each of the numbered angles. Note: All angles should be less than 180 degrees.

## Question 1

State a pair of alternate interior angles. Do you notice any relationship (congruent, complementary, supplementary, none) between these two angles?

## Question 2

State a pair of alternate exterior angles. Do you notice any relationship between these two angles?

## Question 3

State a pair of same-side interior angles. Do you notice any relationship between these two angles?

## Question 4

State a pair of same-side exterior angles. Do you notice any relationship between these two angles?

## Question 5

State a pair of corresponding angles. Do you notice any relationship between these two angles?

## Question 6

State a pair of vertical angles. Do you notice any relationship between these two angles?

## Question 7

State a pair of supplementary angles. Could this pair of angles be classified as: same-side interior angles, same-side exterior angles, alternate interior angles, alternate exterior angles, corresponding angles or vertical angles?