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Angles:-If and only if 0<m<90º-Only Acute if the angle is less than
90º and greater than 0º -Acute Angle-Angle Bisector
-If 2 adjacent angles are equal angles
in measure, their common angle is the
Angle Bisector
2
Angles:-If and only if m=90º-Only Right Angle if angle is exactly
90º-Right Angle-Complementary Angle-If and only if r + s = 90º
-Angles r and s when added together
must equal 90º to be complementary
3
Angles:-If and only if 90>m>180º-Only Obtuse if angle is greater than
90º but less than 180º-Obtuse Angle-Supplementary Angle-If and only if r + s = 180º
-Angles r and s must equal 180º when
added together to be Supplementary
4
Angles:-Created when a ray is drawn in theinterior of the angle
-2 non straight and nonzero angles-Adjacent Angle-Linear Pair-If and only if their non common
sides are opposite are rays
-2 adjacent angles create a linear pair
5
Postulates-Angle Measure Postulate-If angles AVC and CVB areAdjacent Angles, then angle AVC +angle CVB =
angle AVB
-If the angles AVC and CVB are
added together, then it would equal AVB -Corresponding Angles Postulate-Suppose 2 coplanar lines are parallel if and only if
they have the same slope
-If 2 corresponding angles have the same measure,
the lines are parallel
6
Theorems-Equal Angle Measures Theorems-If 2 angles have the same measure, the complements and supplements
have the same measure-Linear Pair Theorem-If 2 angles form a linear pair, then
they are supplementary angles-Transitivity of Parallelism Theorem-If line L is parallel to line m and m is
parallel to line n then L is parallel to line n-2 Perpendiculars Theorem-If 2 coplanar lines, L and M are each
perpendicular to the same line, they are
parallel to each other
7
https://myqei.org/ideas/lp/imageideas/1/img_40347.jpg
This is an Acute Anglebecause the scissors
are at an angle that is
less than 90º.http://cx.aos.ask.com/question/aq/700px-394px/real-world-examples-obtuse-angle_e11a682e556d335b.jpg
This is an ObtuseAngle because
the spider's web's
angle is <90º but
less than 180º.
8
http://cx.aos.ask.com/question/aq/700px-394px/real-world-examples-obtuse-angle_e11a682e556d335b.jpghttp://myworldreviews.com/reviews/Lugano_2_For_1_Pizza-181/figurebig-608.jpg
This is a Right Anglebecause the bird's
house has an angle
of exactly 90º.
The pizza is an adjacent anglebecause there is a straight,
nonzero line down the middle
of two angles.
9
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"Lauren's Postulates and Theorems"
A collection of definitions, postulates, theorems, and real-world examples related to angles in geometry.
(16 pages)
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