1. http://www.mathsisfun.com/acute.html Geometry/Trig 2Name: ________________________________ 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. http://lschrier.wikispaces.com/geomtrig2 Part One – Review Types of Angles (Estimated Time – 5 minutes) Go to http://argyll.epsb.ca/jreed/math7/strand3/3201.htmhttp://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. 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. Straight Angle Right Angle Obtuse AngleAcute Angle http://www.mathsisfun.com/obtuse.html http://www.mathsisfun.com/rightangle.html http://www.mathsisfun.com/geometry/straight-angle.html Definition: ________________________________ ________________________________________ ________________________________________ Diagram: Definition: ________________________________ ________________________________________ ________________________________________ Diagram: Definition: ________________________________ ________________________________________ ________________________________________ Diagram: Definition: ________________________________ ________________________________________ ________________________________________ Diagram:

2. Geometry/Trig 2Name: ________________________________ Angles Web Quest (Sections 1-4 & 2-4)Date: _________________________________ Part Two – Adjacent Angles (Estimated Time – 8 minutes) Go to http://www.mathopenref.com/anglesadjacent.html.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.http://www.mathsisfun.com/geometry/adjacent-angles.html Examine & copy 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. Schrier for clarification before moving on. 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.

3. Geometry/Trig 2Name: ________________________________ 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.) Slide 2:Angle Addition Postulate ____________________________________________________________________________________ ____________________________________________________________________________________ Diagram: Example 1: Example 2:Slide 3: Slide 4:Slide 5: G H J K ABC D 134° R S T V B Q D C As you view the presentation, complete the following note taking guide:

4. Geometry/Trig 2Name: ________________________________ Angles Web Quest (Sections 1-4 & 2-4)Date: _________________________________ Part Four – Angle Bisector & Congruent Angles (Estimated Time – 10 minutes) Definition: An angle bisector is a ray that divides Diagram: an angle into two congruent, adjacent angles. Go to http://www.mathopenref.com/bisectorangle.html and find the following quote:http://www.mathopenref.com/bisectorangle.html “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.http://www.mathsisfun.com/geometry/congruent-angles.html How does your definition compare? Make any necessary changes to your definition. X Y Z W If WY bisects  XWZ, then  XWY  YWZ. 11x - 14 4x+35 A B D C x = _________ m  ABC = _______ m  CBD = _______ m  ABD = _______ Try this problem: Given: BC bisects  ABD. Find x, m  ABC, m  CBD, and m  ABD. Take a Quia QuizGo To - http://www.quia.com/pages/block3fall2008.htmlhttp://www.quia.com/pages/block3fall2008.html and take the Angle Addition Postulate Check for Understanding Quiz Username: __________________________ Password: ___________________________ Which two angles are congruent?  _____   _____

5. Geometry/Trig 2Name: _________________________ 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.htmlhttp://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.htmlhttp://www.quia.com/pages/block3fall2008.html and take the Complementary & Supplementary Angles Check for Understanding Quiz.

6. Geometry/Trig 2Name: _____________________________ 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.http://www.geom.uiuc.edu/~dwiggins/conj01.html 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.http://www.mathwarehouse.com/geometry/angle/vertical-angles.php 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 #1Practice Problem #2Practice Problem #3 Take a Quia Quiz. Go To - http://www.quia.com/pages/block3fall2008.htmlhttp://www.quia.com/pages/block3fall2008.html and take the Angle Web Quest Feedback Quiz.

7. Geometry/Trig 2Name: _________________________ Angles RecapDate: __________________________ 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 StraightRightAcuteObtuse Adjacent Angles - ___________________ _________________________________ _________________________________ h h h Angle Bisector - ______________________ __________________________________ __________________________________ Complementary Angles - ______________ _________________________________ _________________________________ Supplementary Angles - ________________ __________________________________ __________________________________ Congruent Angles - __________________ _________________________________ _________________________________ Vertical Angles - _____________________ __________________________________ __________________________________ Angle Addition Postulate - __________________________________________________ ______________________________________________________________________