Transcript Angles Web Quest

Geometry/Trig 2
Name: ________________________________
Angles Web Quest (Sections 1-4 & 2-4)
Date: _________________________________
Description: During this Web Quest you will learn about eleven new and review vocabulary terms regarding
angles. These terms will be important throughout the remainder of this course. You will also examine
relationships between various pairs of angles and when you are finished you will be able to apply arithmetic and
algebra skills to these various pairs of angles. Please follow all directions carefully and feel free to ask
questions if you do not understand a direction or cannot access a particular website. You may ONLY visit the
websites listed. If you are seen on any other website, you will lose laptop privileges for the day and complete an
alternative assignment using the textbook.
There is only one web address that you need to type. Open up a browser to
http://lschrier.wikispaces.com/geomtrig2. Each time you see a link in the directions, instead of typing the URL,
simply bring up my homepage and find the link you need.
Part One – Review Types of Angles (Estimated Time – 5 minutes)
Go to http://argyll.epsb.ca/jreed/math7/strand3/3201.htm
Scroll to the very last topic on the page labeled “Estimate and measure angles using a circular protractor.” Click
and drag the yellow dot to change the angle measure. Draw an example of each of the four types of angles.
Based on the diagram and measurement of each, write a working definition for each type of angle.
Straight Angle
Right Angle
Definition: ________________________________
________________________________________
________________________________________
Definition: ________________________________
________________________________________
________________________________________
Diagram:
Diagram:
http://www.mathsisfun.com/geometry/straight-angle.html
http://www.mathsisfun.com/rightangle.html
Acute Angle
Obtuse Angle
Definition: ________________________________
________________________________________
________________________________________
Definition: ________________________________
________________________________________
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Diagram:
Diagram:
http://www.mathsisfun.com/acute.html
http://www.mathsisfun.com/obtuse.html
Now go to each link listed in the blocks to find the formal definition of each type of angle. Compare your
working definitions and make any necessary changes.
Geometry/Trig 2
Angles Web Quest (Sections 1-4 & 2-4)
Name: ________________________________
Date: _________________________________
Part Two – Adjacent Angles (Estimated Time – 8 minutes)
Go to http://www.mathopenref.com/anglesadjacent.html.
Write the definition for adjacent angles below.
Adjacent Angles: ______________________________________________________________________
____________________________________________________________________________________
Use a straightedge to neatly draw an example of two adjacent angles. Make one of the angles acute and one of
the angles obtuse. Measure each angle with a protractor and label the angle measurements.
Read the explanation under the heading “They do not overlap.” Copy the diagram.
Explain why PSQ and PSR are NOT adjacent angles. __________________________________________
____________________________________________________________________________________
____________________________________________________________________________________
Name the real pair of adjacent angles from the diagram: _________________________________________
Go to http://www.mathsisfun.com/geometry/adjacent-angles.html.
Examine & copy the diagrams below the heading “What Is and Isn’t Adjacent.”
These ARE Adjacent Angles. They
share a vertex and a side.
These are NOT Adjacent Angles.
They share a vertex, but NOT a side.
These are NOT Adjacent Angles.
They share a side, but NOT a vertex.
Do you understand why each pairing shown is or is not adjacent? ___________________________________
If you answered no, ask Ms. Schrier for clarification before moving on.
Geometry/Trig 2
Name: ________________________________
Angles Web Quest (Sections 1-4 & 2-4)
Date: _________________________________
Part Three – Angle Addition Postulate (Estimated Time – 15 minutes)
Open the Schrier’s Share Folder (Go to My Computer; Wst_Shr; Schrier; Share Folder). Open the PowerPoint
Presentation called “Angle Addition Postulate.” Launch the presentation. (Launch a presentation by clicking on
the icon in the lower right hand corner of the screen. See the circled in the picture below.)
As you view the presentation, complete the following
note taking guide:
Slide 2:
Angle Addition Postulate
____________________________________________________________________________________
____________________________________________________________________________________
Diagram:
Slide 3:
Example 2:
G
Example 1:
134°
K
A
H
Slide 4:
B
C
J
Slide 5:
R
C
B
V
S
D
T
Q
D
Geometry/Trig 2
Name: ________________________________
Angles Web Quest (Sections 1-4 & 2-4)
Date: _________________________________
Take a Quia Quiz
Go To - http://www.quia.com/pages/block3fall2008.html
and take the Angle Addition Postulate Check for Understanding Quiz
Username: __________________________
Password: ___________________________
Part Four – Angle Bisector & Congruent Angles (Estimated Time – 10 minutes)
Definition: An angle bisector is a ray that divides
an angle into two congruent, adjacent angles.
Diagram:
Y
If WY bisects XWZ, then XWY YWZ.
X
W
Z
Go to http://www.mathopenref.com/bisectorangle.html and find the following quote:
“In an angle bisector, it is a line passing through the vertex of the angle that cuts it into two equal smaller
angles.”
Based on the definition of an angle bisector given at the top of this page and notes that you have taken over the
past few days, can you identify any problems with the quote? List any potential problems that you see:
____________________________________________________________________________________
____________________________________________________________________________________
____________________________________________________________________________________
What should replace the word “equal” to make the quote from above more accurate? ____________________
Use the interactive diagram on this website. Move the orange endpoints around to visualize the concept of an
angle bisector.
Make a conjecture (prediction): 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.
Try this problem: Given: BC bisects ABD. Find x, mABC, mCBD, and mABD.
A
C
4x+35
B
11x - 14 D
x = _________
mABC = _______
mCBD = _______
mABD = _______
Which two angles are congruent? _____  _____
Geometry/Trig 2
Name: _________________________
Angles Web Quest (Sections 1-4 & 2-4)
Date: __________________________
Part Five– Complementary & Supplementary Angles (Estimated Time – 15 minutes)
Go to http://www.mathsisfun.com/geometry/complementary-angles.html
Complementary Angles: __________________________________________________________________
Draw BOTH diagrams that are shown in the lavender blocks on the website. Identify which diagram shows
ADJACENT angles and which shows NON-ADJACENT angles.
Where does the term “complementary angles” come from? ________________________________________
____________________________________________________________________________________
____________________________________________________________________________________
At the bottom of the web page you will see links under “here’s more…” Click on the link for Supplementary
Angles.
Supplementary Angles: ___________________________________________________________
Draw BOTH diagrams that are shown in the lavender blocks on the website. Identify which diagram shows
ADJACENT angles and which shows NON-ADJACENT angles.
What is the way the website offers to remember the difference between complementary and supplementary
angles? ______________________________________________________________________________
____________________________________________________________________________________
____________________________________________________________________________________
Take a Quia Quiz. Go To - http://www.quia.com/pages/block3fall2008.html
and take the Complementary & Supplementary Angles Check for Understanding Quiz.
Geometry/Trig 2
Name: _____________________________
Angles Web Quest (Sections 1-4 & 2-4)
Date: ______________________________
Part Six – Vertical Angles (Estimated Time – 10 minutes)
Go to – http://www.geom.uiuc.edu/~dwiggins/conj01.html and fill in the definition of vertical angles.
Vertical Angles: ________________________________________________________________
____________________________________________________________________________
Draw a Diagram:
(We talked about Postulates being rules that we do not proof in Geometry. A Theorem is also a rule,
but it can be proved. Next week we will prove the theorem that follows).
Vertical Angle Theorem: Vertical Angles are Congruent.
Go to http://www.mathwarehouse.com/geometry/angle/vertical-angles.php. Manipulate the
Interactive Vertical Angles Block to visualize that Vertical Angles are in fact congruent.
Below the Interactive Vertical Angles Block, you will find a variety of practice problems. Follow along
with the first two practice problems.
Choose ANY three of the remaining practice problems to try on your own. Draw a diagram for each
and show all of your work. After you have found an answer check your work and answer by clicking on
the Answer button.
Practice Problem #1
Practice Problem #2
Practice Problem #3
Take a Quia Quiz. Go To - http://www.quia.com/pages/block3fall2008.html
and take the Angle Web Quest Feedback Quiz.
Geometry/Trig 2
Name: _________________________
Angles Recap
Date: __________________________
Please use the Web Quest from class as your notes for the sections that introduce angles
(1-4 and 2-4). Below you can organize all of your new vocabulary and information into a quick
one page reference sheet.
Types of Angles
Straight
Right
Acute
Obtuse
Adjacent Angles - ___________________
_________________________________
_________________________________
Angle Bisector - ______________________
__________________________________
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Congruent Angles - __________________
_________________________________
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Supplementary Angles - ________________
__________________________________
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h
h
Complementary Angles - ______________
_________________________________
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Vertical Angles - _____________________
__________________________________
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h
Angle Addition Postulate - __________________________________________________
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