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 angleVertex: 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 anglesDenoted 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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