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Geometry/Trig 2
Unit 1 Web Quest – Angles
Name __________________________
Date _______________ Block ______
The below links are all accessible from my wikispace, http://elwalsh.wikispaces.com
Go to Geometry/Trig 2, and click on the assignment links for Angles Web Quest.
Visit www.mathopenref.com/angle.html and answer the below questions.
Angles
Definition: _____________________________________________________________.
Diagram:
Definition of Vertex: ____________________________________________________.
In the figure above, ___________ is the vertex of _____________ .
Definition of Legs: ____________________________________________________.
In the figure above, _____ and _____ are the legs of _____________ .
Definition of Interior: ____________________________________________________.
Click on the link at the end of the definition to view the interior of the angle.
Definition of Exterior: ____________________________________________________.
Click on the link at the end of the definition to view the exterior of the angle.
Identifying an Angle
Angles can be identified in two ways:
1) Like this: ______ , The angle symbol, followed by _____________ that define the angle,
with the ___________________________ and the other two ___________.
So in the figure above, the angle would be _______ or _______ .
2) Or like this: _______, Just the ________.
So in the figure above, the angle would be _______ .
Geometry/Trig 2
Unit 1 Web Quest
Types of Angles
Angles can also be identified by numbers.
So ABC could also be identified as 1.
What would be another way to identify CBD?
_________
C
2
1
A
D
3
B
E
Measure of an Angle: The size of an angle _____________________________________ .
If we want to talk about the size, or ___________ , of an angle in __________, we should
say _______________________ , often written ___________ .
However, many times we will see _______________ , which is technically incorrect.
It should say _____________ .
Write the definition of each angle in the below box, along with a diagram and measurement to
support your definition. Then, click on each appropriate angle diagram to view more specific
information. Fill in “A way to remember” for Acute Angle.
Acute Angle
Right Angle
A way to remember:
Obtuse Angle
Straight Angle
Geometry/Trig 2
Unit 1 Web Quest
Types of Angles
Part Two – Adjacent Angles (Estimated Time – 8 minutes)
Go to www.mathisfun.com/geometry/adjacent-angles.html
Write the definition for adjacent angles below.
Adjacent Angles:
______________________________________________________________________
______________________________________________________________________
Examine the diagrams below the heading “What Is and Isn’t Adjacent.”
Do you understand why each pairing shown is or is not adjacent? _____________________
If you answered no, ask Ms. Walsh for clarification before moving on.
The definition provided is fairly accurate, but is missing one important piece. Adjacent Angles cannot
share any INTERIOR POINTS. This means that adjacent angles cannot overlap. Look at the
examples below:
C
CAB and BAT are adjacent angles.
B
CAT and BAT are NOT adjacent angles
because they overlap.
A
T
Part Three – Angle Addition Postulate (Estimated Time – 15 minutes)
Go to – http://www.slideshare.net/rfant/angle-addition-postulate-geometry-33/
Read through slides 1/47 through 8/47 that introduce the Angle Addition Postulate.
STOP at slide 9/47. This slide asks you to make a conjecture, or an educated guess.
Make a conjecture regarding the relationship between the two smaller angles and the bigger angle:
____________________________________________________________________________
____________________________________________________________________________
Go to slide 10/47 and compare your conjecture to the presentation’s conjecture.
How did your conjecture compare? (Check One)
_____It was perfect!
_____It was close – I had the same general idea but mine was worded a little differently.
_____My conjecture did not match the presentation’s conjecture.
Geometry/Trig 2
Unit 1 Web Quest
Types of Angles
The presentation slides 11/47 through 12/47 show the Angle Addition Postulate. Copy the postulate and
diagram below. (Please Note: The name “Postulate 3-3” was given by the creator of this presentation. In this
class we will refer to this postulate as the “Angle Addition Postulate.”)
Angle Addition Postulate:
P
__________________________
__________________________
Q
__________________________
__________________________
1
A
2
Copy and follow the examples from 16/47 to 29/47.
R
X
1
W
C
Y
2
A
D
B
Z
Part Four – Angle Bisector & Congruent Angles (Estimated Time – 10 minutes)
Go to http://www.mathopenref.com/bisectorangle.html:
Write the definition for Angle Bisector below.
____________________________________________________________________________________
____________________________________________________________________________________
____________________________________________________________________________________
Use the interactive diagram on this website. Move the orange endpoints around to visualize the concept of an
angle bisector.
Y
X
If WY bisects XWZ, then ______ ______.
W
Z
Make a conjecture: What do you think the definition of congruent angles is? __________________________
____________________________________________________________________________________
____________________________________________________________________________________
Go to http://www.mathsisfun.com/geometry/congruent-angles.html.
How does your definition compare? Make any necessary changes to your definition.