Top Banner
Geometry: Angle Measures
20

Geometry: Angle Measures. Do Now: What is the distance between R and Q? What is the distance between S and R?

Dec 23, 2015

Download

Documents

Brooke Daniels
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Page 1: Geometry: Angle Measures. Do Now: What is the distance between R and Q? What is the distance between S and R?

Geometry: Angle Measures

Page 2: Geometry: Angle Measures. Do Now: What is the distance between R and Q? What is the distance between S and R?

Do Now:What is the distance between R and Q?

What is the distance between S and R?

Page 3: Geometry: Angle Measures. Do Now: What is the distance between R and Q? What is the distance between S and R?

Homework

Questions?

Struggles?

Ask Ask Ask!

Page 4: Geometry: Angle Measures. Do Now: What is the distance between R and Q? What is the distance between S and R?

Definitions: Angle: An angle is formed by

two non-collinear rays that have a common endpoint.

Sides: The rays are the sides of the angle

Vertex: The endpoint is called the vertex of the angle.

Ex:

Page 5: Geometry: Angle Measures. Do Now: What is the distance between R and Q? What is the distance between S and R?

Example One:

Page 6: Geometry: Angle Measures. Do Now: What is the distance between R and Q? What is the distance between S and R?

Example Two:

Which angles have R as a vertex?

What are the sides of <1?

What is another name for <SRP?

Page 7: Geometry: Angle Measures. Do Now: What is the distance between R and Q? What is the distance between S and R?

Angles- Four Types

Obtuse Angles: Are greater than 90 degrees but less than 180 degrees.

Ex:

Page 8: Geometry: Angle Measures. Do Now: What is the distance between R and Q? What is the distance between S and R?

Angles- Four Types

Acute Angles: Are less than 90 degrees

Ex:

Page 9: Geometry: Angle Measures. Do Now: What is the distance between R and Q? What is the distance between S and R?

Angles- Four Types

Right Angles: 90 degree angles

Denoted by a little square.

Ex:

Page 10: Geometry: Angle Measures. Do Now: What is the distance between R and Q? What is the distance between S and R?

Angles- Four Types

Straight Angles: 180 degree angle

i.e. a straight line.

EX:

Page 11: Geometry: Angle Measures. Do Now: What is the distance between R and Q? What is the distance between S and R?

Protractors Steps to measuring an angle:

Line up the vertex with the center point of the protractor.

Line up the zero line on the protractor with one side of the angle.

Extend the other side of the angle using a ruler or straight edge if needed.

Wherever the other side of the angle hits the protractor is the measure of your angle!

Page 12: Geometry: Angle Measures. Do Now: What is the distance between R and Q? What is the distance between S and R?

Using Protractors

Page 13: Geometry: Angle Measures. Do Now: What is the distance between R and Q? What is the distance between S and R?

Protractor Practice

Page 14: Geometry: Angle Measures. Do Now: What is the distance between R and Q? What is the distance between S and R?

Protractor Practice

Try the other two on your own!

Page 15: Geometry: Angle Measures. Do Now: What is the distance between R and Q? What is the distance between S and R?

Congruent Angles

Congruent Lengths are…..

So…. Congruent angles are……?

Notation:

Page 16: Geometry: Angle Measures. Do Now: What is the distance between R and Q? What is the distance between S and R?

Definition

Segment Addition Postulate says what….?

So…. Angle addition postulate says:

Ex:

Page 17: Geometry: Angle Measures. Do Now: What is the distance between R and Q? What is the distance between S and R?

Example Three:

Page 18: Geometry: Angle Measures. Do Now: What is the distance between R and Q? What is the distance between S and R?

Example Four

Page 19: Geometry: Angle Measures. Do Now: What is the distance between R and Q? What is the distance between S and R?

Practice Problems

Try some angle things on your own!

Page 20: Geometry: Angle Measures. Do Now: What is the distance between R and Q? What is the distance between S and R?

Exit Ticket