1.4. ANGLE MEASURES DAY ONE Honors Geometry

Do Now: What is the distance between a. R and Q? b. S and R?

Do Now: The answers for the challenge problem packet is posted to the right. Check them out and see which ones you want me to go over * Note: I refuse to do #7. That one was super challenge and if you get it great, if not no worries :D if you want to see how it’s done come by sometime and I’ll show you :D

Homework Questions? Struggles? Ask Ask Ask!

Definitions: Ray: Part of a line, it has one endpoint and extends indefinitely in the other direction. Notation: The name must begin with the endpoint. Ex:

Definitions Opposite Rays: Rays at a 180 degree angle. Collinear. Ex:

Example One: Name three rays in the picture below Name two sets of opposite rays in the picture

Definition: Angle: 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. Notation: The middle letter must be the vertex of the angle Ex:

Example Two:

Example Three: Which angles have R as a vertex? What are the sides of <1? What is another name for <SRP?

Example Four: 1. Name the vertex of <4 2. Name the sides of <BDC 3. Write another name for <DBC

You Try! Determine the sides and vertex of each angle then come up with THREE ways to write the angle.

Angles: There are four types of angles  Acute  Obtuse  Right  Straight

Angles- Four Types Obtuse Angles: Angles between 90 < x < 180 degrees Ex:

Angles- Four Types Acute Angles: Angles with 0 < x < 90 degrees Ex:

Angles- Four Types Right Angles: 90 degree angles  Denoted by a little square. Ex:

Angles- Four Types Straight Angles: 180 degree angle  i.e. a straight line.  EX:

Example Five: Classify each angle as right, obtuse, acute or straight.  <MPR  <NPR  <SPR

You Try! Classify each angle as obtuse, right, straight or acute.  <LMN  <PMN  <QML  <PML

Example Six

Example Seven: If m<ROT = 155 degrees, what are m<ROS and m<TOS?

You Try! <DEF is a straight angle. What are m<DEC and m<CEF?

Practice Problems Try some on your own/in small groups As always if you are confused don’t hesitate to ask me or your group members questions!

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