Download Math 1202NotesSection 5.3 Section 5.3 Lines and Angles Types of

Math 1202
Notes
Section 5.3
Section 5.3 Lines and Angles
Types of Lines
1)
Parallel Lines
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2)
lines that do not (and will not) cross each other
are labeled using matching arrowheads
are always the same distance apart
Transversal
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3)
a line that crosses two or more parallel lines
Perpendicular Lines
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lines that cross each other at right angles.
often are marked with a right angle symbol.
Ex1 ) Identify each pair of lines as parallel, perpendicular or neither. Justify your answer.
A)
C)
B)
D)
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Math 1202
Notes
Section 5.3
Pairs of angles
1)
Supplementary Angles
 two angles that add up to 180º
 they form a straight angle (line)
2)
Complementary Angles
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3)
two angles that add up to 90º
they form a right angle.
Opposite Angles
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a pair of angles formed by two lines that intersect.
these angles are equal in measure.
Ex 2) Determine the measure of each unknown angle.
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Math 1202
Notes
Section 5.3
Angles form with parallel lines and Transversals
1) Corresponding Angles
 angles that would fit on top of each other if you slide one of the parallel lines on top of the other.
 Corresponding angles are equal.
 The diagram below shows 4 pairs of corresponding angles:
HINTS:
2)
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Alternate exterior Angles
Angles that are outside the parallel lines and on different sides of the transversal
Alternate exterior angles are equal.
The diagram below shows 2 pairs of alternate exterior angles:
HINTS:
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Math 1202
3)
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Notes
Section 5.3
Alternate interior Angles
Angles that are inside the parallel lines and on different sides of the transversal
Alternate interior angles are equal.
The diagram below shows 2 pairs of alternate interior angles:
HINTS
4)
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Same side interior Angles
Angles that are inside the parallel lines and on same side of the transversal
Same side interior angles are supplementary. (add up to 180º)
The diagram below shows 2 pairs of same side interior angles:
HINTS:
5)
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Same side exterior Angles
Angles that are outside the parallel lines and on same side of the transversal
Same side exterior angles are supplementary. (add up to 180º)
The diagram below shows 2 pairs of same side exterior angles:
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Math 1202
Ex)
Notes
Section 5.3
In the diagram below name a pair of:
A) Corresponding angles
B) Alternate exterior angles
C) Alternate interior angles
D) Same side interior angles
E) Same side exterior angles
F) If a  50  , find the measures of all the other angles:
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