Angle Bisector and Addition Postulates, Types of Angles.
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Transcript of Angle Bisector and Addition Postulates, Types of Angles.
![Page 1: Angle Bisector and Addition Postulates, Types of Angles.](https://reader036.fdocuments.us/reader036/viewer/2022062409/5697c01f1a28abf838cd1dba/html5/thumbnails/1.jpg)
Angle Bisector and Addition Postulates, Types of Angles
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Angle Addition Postulate : if two angles are adjacent then their sum is equal to the outer angle.
A
B C
D
ABD + DBC = ABC
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Acute angle : is greater than 0 degrees and less than 90 degrees
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Right angle is always 90 degrees.
Obtuse angle is greater than 90 degrees and less than 180 degrees.
Symbol means 90 degrees
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Straight angle is 180 degrees.
Midpoint of a Segment : divides a segment into two congruent parts. ( two equal lengths )A B C
Point B divides AC into two congruent parts
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Perpendicular Lines : are lines that intersect at 90 degrees.
Symbol
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Perpendicular Bisector : is a line that divides a segment into two congruent parts at 90 degrees.
midpoint
90 degrees
Congruent Segments
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Angle Bisector : is a ray that divides an angle into two congruent parts.
Angle bisector
symbol for congruent angles
The angle was divided into two equal sizes.
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Ray BD is the angle bisector of the angle ABC. If angle ABD is (2x – 4) degrees and angle ABC is (6x – 42)° , how any degrees is angle DBC ?
A
B
D
C
Angle DBC = 30 degrees
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If the line PS is the perpendicular bisector of the segment CD. MD is (3x – 1)cm. and CD is (7x – 17)cm, what is the length of CM ?
Solution
C M D
P
S
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Problem
• What are the different ways you can name this angle?
D
A
Y
DAY or YAD
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