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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.