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Objectives -types of angles -Protractor Postulate -Angle Addition Postulate. 1.4 Angles. Angle the figure formed by two rays that share the same endpoint. Their common endpoint is called the vertex. Symbolism for an angle. B. A. 3. C.
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Objectives -types of angles -Protractor Postulate -Angle Addition Postulate 1.4 Angles
Angle the figure formed by two rays that share the same endpoint. Their common endpoint is called the vertex
Symbolism for an angle B A 3 C
There is an INTERIOR and EXTERIOR of an angle. Locate them. B A 3 C
Similar to talking about the lengths of segments, there is a special way to indicate that we are talking about the measurement of an angle. Measure of an angle
Adjacent angles two angles that share the same vertex, and also share a common side (ray) and have no interior points in common. • Adjacent means “next to” • examples
Acute angle – Right angle – Obtuse angle – Straight angle – Angles and their measurements
On AB in a given plane, choose any point O between A and B. Consider OA and OB and all the rays that can be drawn from O on one side of AB. These rays can be paired with the real numbers from 0 to 180 in such a way that : a.) OA is paired with 0, and OB with 180. b.) If OP is paired with x, and OQ with y, then POQ = |x – y| Protractor Postulate
If point B lies in the interior of AOC, then AOB + BOC = AOC • If AOC is a straight angle and B is any point not on AC, then AOB + BOC = 180. Angle Addition Postulate
Similar to congruent segments in how we indicate congruency and equal measurement Congruent Angles
The ray that divides the angle into two congruent adjacent angles. Angle Bisector
Pg. 21 1-18 1-6, 9-11, 15-18, 28-33 Homework