Parallel Lines

Corresponding angles

Eight angles are formed when two lines are intersected by a transversal, creating four pairs of corresponding angles; these are the angles that are in the same relative position to each other.

Practice:

Refer to the picture below, and then match corresponding angles.

Value: 1

Match the items.

The task is to match the lettered items with the correct numbered items. Appearing below is a list of lettered items. Following that is a list of numbered items. Each numbered item is followed by a drop-down. Select the letter in the drop down that best matches the numbered item with the lettered alternatives.

a.
b.
c.
d.
1.	a  b  c  d
2.	a  b  c  d
3.	a  b  c  d
4.	a  b  c  d

Property: Corresponding-Angles and the Parallel Lines

Alternate-Interior-Angles

When two parallel lines are intersected by a transversal, angles that are formed in between (interior) the lines and on opposite sides of the transversal (alternate) form two pairs of alternate-interior-angles.

Alternate-Exterior-Angles

When two parallel lines are intersected by a transversal, angles that are formed outside (exterior) of the lines and on opposite sides of the transversal (alternate) form two pairs of alternate-exterior-angles.

Theorem:

Practice:

The lines 1 and 2 are parallel. Find the measures of the labeled angles shown in the picture.

Value: 1

Value: 1

Value: 1

Value: 1

Value: 1

Value: 1

Value: 1

Value: 1

Value: 1

Value: 1

Value: 1

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