Geometry 1.4 Angles.

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Presentation transcript:

Geometry 1.4 Angles

Angle the common endpoint is called the vertex a figure formed by 2 rays that have the same endpoint the rays are called the sides of the angle the common endpoint is called the vertex

Types of angles

Angle Addition Postulate If Point B lies in the interior of AOC, then m AOB + m BOC = m AOC

Angle Addition Postulate PART 2 If AOC is a straight angle and B is any point not on AC then m AOB + m BOC = 180

Measure of an angle You can use a protractor to find a number associated with each side of an angle. To find the measure in degrees of an angle, compute the absolute value of the difference of these numbers.

Using the protractor Be sure to line the vertex up on the 0

Adjacent Angles Adjacent angles have… a common vertex a common side no common interior points.

Congruent Angles Congruent angles have the same measure

Angle Bisector Definition An angle bisector divides an angle into two angles of equal measure (congruent)

It must be explicitly stated. Examples… When you look at a figure, you can not assume congruent segments, congruent angles or right angles. It must be explicitly stated. Examples…

Check for understanding Please turn to page 20 in your textbook.

P. 15 #8-40 (8X) P. 21 #1-33 odd (protractor) Look at 1.5 P. 24 #5-15 odd Bring a compass on Thursday. See back board for next assessment.