Download Weekly Essentials #4 Complete the following tasks on a separate

Weekly Essentials #4
Complete the following tasks on a separate sheet of paper. Attach all work. Due Friday.
Monday: Angles Formed by a Transversal
A transversal is a line that intersects two or more lines in the same plane at different points. As it does,
it forms several special types of angles.
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Interior angles are angles inside the region bounded by the two lines.
Exterior angles are angles outside the region bounded by the two lines.
Same-side interior angles are two nonadjacent interior angles that are on the same side of the
transversal.
Alternate interior angles are two nonadjacent angles that are on opposite sides of the
transversal.
Alternate exterior angles are two nonadjacent exterior angles that are on opposite sides of the
transversal.
Corresponding angles are two nonadjacent angles (one is an interior angle and the other is an
exterior angle) on the same side of the transversal.
Problem: Label the eight angles on the figure below with a number from 1 to 8 using the clues below. The
odd-numbered angles are exterior angles.
5 and 4 are vertical angles.
2 and 4 are same-side interior angles.
7 and 2 are corresponding angles.
4 and 6 are alternate interior angles.
8 and 7 are vertical angles.
2 and 3 are vertical angles.
1 and 5 are alternate exterior angles.
Tuesday: Parallel Lines and Transversals
Parallel lines are lines that never intersect. The word parallel is taken from the Greek word parallelos,
which means “beside one another.” The symbol for parallel lines is.
When
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two parallel lines are cut by a transversal, special pairs of angles are formed:
Corresponding angles
Alternate interior angles
Alternate exterior angles
Vertical angles
Supplementary angles
Same-side interior angles
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Linear pairs
Problem: In the figure below, l1  l2. Angles are numbered by their vertices. Find the measures of all the
angles if the measure of 5 = 95°. Then find the measure of all the angles if the measure of 2 = x°.
7
8
L1
5 6
3
1
4
l
2
2
Wednesday: Complementary and Supplementary Angles
Complementary angles are two angles whose sum equals 90°. One angle is the complement of the other.
Supplementary angles are two angles whose sum equals 180°. One angle is the supplement of the other.
Problem: Each row below contains five angles. Two are complementary, two are supplementary, and one is
neither. Identify the complementary angles and supplementary angles in each row.
1. 15°
2. 40°
115°
50°
125° 65°
60° 150°
75°
120°
3. 90° 70° 100° 80° 20°
4. 1° 90° 90° 89° 178°
Thursday: Pairs of Angles --- Adjacent, Vertical, Complementary, and Supplementary
Special pairs of angles have their own names and distinguishing features.
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Adjacent angles are two angles that have a common vertex, a common side, and no common
interior points.
Vertical angles are two nonadjacent angles formed by two intersecting lines. Vertical angles
always have the same measure.
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Complementary angles are two angels whose sum is 90°.
Supplementary angles are two angles whose sum is 180°.
Problem: Consider the angles below. Identify the angles as being adjacent, vertical, complementary,
and/or supplementary.
5
8
1
2
(1) 1 and 2
3
(2) 3 and 4
4
(3) 5 and 6
6
7
(4) 5 and 8
(5) 6 and 7
(6) 6 and 8