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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

Warm-Up

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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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Page 1: Warm-Up

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

Page 2: Warm-Up

GEOMETRYAngles and Their Measures

Page 3: Warm-Up

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.

Page 4: Warm-Up

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.

Page 5: Warm-Up

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.

Page 6: Warm-Up

Classifying Angles Acute angle

Right angle

Obtuse angle

Straight angle

Page 7: Warm-Up

Classify The AngleA.) Acute AngleB.) Right AngleC.) Obtuse AngleD.) Straight Angle

Page 8: Warm-Up

Classify The AngleA.) Acute AngleB.) Right AngleC.) Obtuse AngleD.) Straight Angle

Page 9: Warm-Up

Classify The AngleA.) Acute AngleB.) Right AngleC.) Obtuse AngleD.) Straight Angle

Page 10: Warm-Up

Classifying Angles What geometric figure does a straight

angle make?

Page 11: Warm-Up

How Many Angles Are There? NAG or GAN GAL or LAG LAE or EAL NAL or LAN GAE or EAG NAE or EAN

Page 12: Warm-Up

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.

Page 13: Warm-Up

Angle Addition Postulate Find the measure of the unknown angle.

Page 14: Warm-Up

Angle Addition Postulate Find the measure of the unknown angle.

Page 15: Warm-Up

Angle Addition Postulate Find the measure of the unknown angle.

Page 16: Warm-Up

Angle Addition Postulate Find the measure of the unknown angle.

Page 17: Warm-Up

Angle Addition Postulate Find the measure of the unknown angle.

Page 18: Warm-Up

Angle Addition Postulate Find the measure of the unknown angle.

Page 19: Warm-Up

Angle Addition Postulate

Page 20: Warm-Up

Angle Addition Postulate

Page 21: Warm-Up

Angle Addition Postulate

Page 22: Warm-Up

Exit Ticket HomeworkPg. 29: 17-22, 26-28, 35-37, 40-49, 70-76