Download WORKSHEET #7 New Vocabulary → parallel lines, transversal In

Name _______________________
WORKSHEET #7
Upward Bound Summer 2011: Geometry
OBJECTIVE:
I will be able to identify and use angle relationships created when parallel lines are cut by a transversal.
NEW CONCEPT:
New Vocabulary → parallel lines, transversal
In the diagram, ________ and ________ are ______________.
This means ________________________________________.
You can also use the parallel symbol to say this: ______________.
Line c is called a ________________ because it passes through both parallel lines.
Corresponding angles are angles in matching corners (find them on the same side of the
transversal and the same side of their parallel line).
Examples:
Corresponding angles are ______________________.
Alternate interior angles are angles that are on opposite sides of the transversal and inside the
parallel lines.
Examples:
Alternate interior angles are ______________________.
Alternate exterior angles are angles that are on opposite sides of the transversal and outside the
parallel lines.
Examples:
Alternate exterior angles are ______________________.
Same side interior angles are angles that are on the same side of the transversal and inside the
parallel lines.
Examples:
Same side interior angles are ______________________.
Same side exterior angles are angles that are on the same side of the transversal and outside the
parallel lines.
Examples:
Same side exterior angles are ______________________.
NOTES AND EXAMPLES:
Example 1: Find an example of each angle pair in the diagram at the right.
a)
A pair of corresponding angles.
b)
A pair of same side interior angles.
c)
A pair of alternate exterior angles.
d)
A pair of vertical angles.
Example 2: In each diagram below, find
and
. Justify your answer.
Example 3: In the diagram below, line a || line b and line c || line d. Also,
Write in the measures of all missing angles.
2
= 65° and
= 85°
1
6
5
14 11
10 9
3
c
4
7
8
16 15
12 13
d
a
b
Example 4: Use each diagram below to solve for x. Then write in the measures of all four angles.
a)
b)
c)
d)