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Warm-Up. Find the next two numbers in the sequence: 3, 7, 15, 31, __, __ Draw four points M, A, T, H such that and are opposite rays and and are the same ray. Find the distance between the points (-3, 4) and (3, 6). Simplify your answer. - PowerPoint PPT Presentation
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Warm-Up Find the next two numbers in the
sequence: 3, 7, 15, 31, __, __ Draw four points M, A, T, H such that
and are opposite rays and and are the same ray.
Find the distance between the points (-3, 4) and (3, 6). Simplify your answer.
Use the Segment Addition Postulate to solve for x if = 4x – 3, = 3x – 10 and = 6x + 8. L H S
GEOMETRYAngles and Their Measures
Learning Outcomes I will be able to classify angles into
groups according to the measure of their angles.
I will be able to use the angle addition postulate to determine the measure of angles that are separated into two or more angles.
Vocabulary Angle: An angle consists of two different
rays that have the same initial point. Sides of an angle: The rays are called
the sides of the angle. Vertex of an angle: The initial point is
the vertex of the angle. Measure of an angle: The absolute value
of the difference between the two sides.
More Vocabulary Interior of an angle: The interior of an
angle is any point between the points that lie on each side of the angle.
Exterior of an angle: The exterior of an angle is all the points not on the angle or in its interior.
Adjacent angles: Two angles that have a common vertex and side but no common interior points.
Classifying Angles Acute angle
Right angle
Obtuse angle
Straight angle
Classify The AngleA.) Acute AngleB.) Right AngleC.) Obtuse AngleD.) Straight Angle
Classify The AngleA.) Acute AngleB.) Right AngleC.) Obtuse AngleD.) Straight Angle
Classify The AngleA.) Acute AngleB.) Right AngleC.) Obtuse AngleD.) Straight Angle
Classifying Angles What geometric figure does a straight
angle make?
How Many Angles Are There? NAG or GAN GAL or LAG LAE or EAL NAL or LAN GAE or EAG NAE or EAN
Angle Addition Postulate
Basically, we can add two or more angles together to get a bigger angle, or we can break two angles apart to get a smaller angle.
Angle Addition Postulate Find the measure of the unknown angle.
Angle Addition Postulate Find the measure of the unknown angle.
Angle Addition Postulate Find the measure of the unknown angle.
Angle Addition Postulate Find the measure of the unknown angle.
Angle Addition Postulate Find the measure of the unknown angle.
Angle Addition Postulate Find the measure of the unknown angle.
Angle Addition Postulate
Angle Addition Postulate
Angle Addition Postulate
Exit Ticket HomeworkPg. 29: 17-22, 26-28, 35-37, 40-49, 70-76