Chapter 1: Essentials of Geometry Name __________________________ Sections 4 & 5 Geometry Notes Measuring & Classifying Angles This should look familiar – name all of the geometric figures this represents: Let’s use two rays and add another geometric figure to our knowledge banks: the ___________________. An angle is formed by two ____________________ rays with a ______________________ endpoint, or ___________________. The two rays are the __________________of the angle. Label the angle figure below: An angle can be named in several different ways. The angle above can be identified by its: ( ___________________, if it has one: ____________ ( ___________________, if there is no other angle with vertex at O: ____________ ( ___________________, remembering to keep the vertex letter in the middle: ____________ Try it! Name all of the points: Name all of the rays: Name 3 angles: Name סin another way:
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Measuring & Classifying Angles€¦ · Measuring & Classifying Angles This should look familiar – name all of the geometric figures this represents: Let’s use two rays and add
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Chapter 1: Essentials of Geometry Name __________________________ Sections 4 & 5 Geometry Notes
Measuring & Classifying Angles
This should look familiar – name all of the geometric figures this represents:
Let’s use two rays and add another geometric figure to our knowledge banks: the
___________________. An angle is formed by two ____________________ rays with a
______________________ endpoint, or ___________________. The two rays are the
__________________of the angle. Label the angle figure below:
An angle can be named in several different ways. The angle above can be identified by its:
___________________, if it has one: ____________
___________________, if there is no other angle with vertex at O: ____________
___________________, remembering to keep the vertex letter in the middle: ____________
Try it! Name all of the points:
Name all of the rays:
Name 3 angles:
Name in another way:
Chapter 1: Essentials of Geometry ................................................................................... Sections 4 & 5
Page 2 of 12
Angle measures can be discussed in a ________________ way or measured more
____________________ using a ___________________. The measurement on the protractor is
described using _______________, which is the number and this symbol: _____.
Label the angle figure below:
Angles are classified in these general categories:
Looks like …
Is called …
Measures …
Use the diagram to estimate the measurement of:
1. ________
2. ________
3. ________
4. ________
Chapter 1: Essentials of Geometry ................................................................................... Sections 4 & 5
Page 3 of 12
Practice a few …
First, estimate the measure of each angle. Then, use your protractor to check your guess.
Use your protractor to draw angles with the given measures. Include points so that the names of the angles are correct.
° °
Now, add a ray that bisects each of your angles above… 1. How are you going to do that?
Find the ____________________
2. What do you think geometry calls that ray?
You got it! An angle _________________________
3. Label your new ray with point M.
4. What can you now say about each angle pair?
________ ________
Chapter 1: Essentials of Geometry ................................................................................... Sections 4 & 5
Page 4 of 12
Kinda obvious, right? So, you know what that means….Postulates!
#3: Protractor Postulate
• The rays __________ and __________ can be
matched with real numbers from _____ to _____.
• The _________________ of ___________ is equal to
the absolute value of the difference between
the numbers.
#4: Angle Addition Postulate
If P is in the _______________ of , then the
________ ________ ________.
Now, remember the difference between ?
Chapter 1: Essentials of Geometry ................................................................................... Sections 4 & 5