Download Notes Geometry Theorems.doc

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Notes ­ Geometry Theorems.doc
*** Now that the notes are taken care of...
REVIEW??? GMF 10 ­ Angle Properties
BIG ideas!!!
We better do some examples to UNDERSTAND these 1
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Geometry Theorems...
Example:
x
42o
46o
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EXAMPLES...
1)
50o
The two angles that are opposite to the equal sides.
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 180o.
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...
2)
1)
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)
D)
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HOMEWORK...
Worksheet ­ Angle Properties.pdf
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Attachments
Notes ­ Geometry Theorems.doc
Worksheet ­ Angle Properties.pdf