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Warm Up...
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HW questions...
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Notes ­ Geometry Theorems.doc
*** Now that the notes are taken care of...
BIG let's do some examples to UNDERSTAND these ideas!!!
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Geometry Theorems...
Example:
x
42o
46o
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EXAMPLES...
1)
The two angles that are opposite to the equal sides.
50o
a
2)
b
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• Complementary Angles: Two or more angles that have a sum of 90o.
Examples:
(1) What is the complement of a 50o angle?
(2) Determine the measure of the missing angle.
• Supplementary Angles: Two or more angles that have a sum of 180 o.
Examples:
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Opposite Angle Theorem...
Example:
b
c
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EXERCISE: Use geometry theroems to determine the measure of missing angles...
1)
2)
3)
4)
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Parallel Line Theorems
A transversal is a third line that crosses two or more lines, as shown in the illustration to the right.
Corresponding Angles:
Pairs of angles on the same side
of a transversal and the same side
of the parallel lines
CORRESPONDING ANGLES ARE EQUAL
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Alternate Interior Angles:
Pairs of angles on the opposite sides of a transversal and between
the parallel lines
ALTERNATE INTERIOR ANGLES ARE EQUAL
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Co­Interior Angles (Same­side Interior):
Pairs of angles on the same side of a transversal and between
the parallel lines
CO­INTERIOR ANGLES ARE SUPPLEMENTARY
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EXERCISE: Practice...
A)
B)
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C)
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HW: Complete the following...
Worksheet ­ Angle Properties.pdf
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Attachments
Notes ­ Geometry Theorems.doc
Worksheet ­ Angle Properties.pdf