[size=200][color=#38761d]Try these problems while you are waiting for class to begin! [/color][/size]
#1) Find the midpoint of [math]\text{\overline{BC}}[/math]. Show the midpoint on the graph, and write the name and coordinates of the point.
#2) If C is the midpoint of [math]\text{\overline{BD}}[/math], plot D on the graph. What are the coordinates of D?
[size=200][color=#ff0000]Wait for class to begin.[/color][/size]
[size=150][color=#0000ff][u]Vocabulary[br][/u][br][b]RAY: [/b]A ray has one endpoint and extends [u]infinitely[/u] in one direction.[br][br][/color][/size][color=#0000ff][b]OPPOSITE RAYS: [/b]two rays with a common endpoint that form [u]a straight line.[/u][/color]
#4) Use the applet! [br]a) First, move around [math]\text{\overrightarrow{AC}}[/math]. Change the color by selecting the ray, and then selecting the color tool (this purple square will only appear when you select the ray.)
b) Why would it be confusing to call this ray [math]\text{\overrightarrow{CA}}[/math]?
Because someone might think the endpoint was C, and the ray went from C through the point A.
[br]b) Draw another ray using the ray tool. (Select [icon]/images/ggb/toolbar/mode_join.png[/icon] , and then RAY) [br][br]c) Move the two rays so that they seem to be OPPOSITE RAYS.[br][br]d) Now, apply the Drag Test.[br][br](Drag Test: if you drag the figure around, do you still have the figure you meant to draw, or does it change?)[br]
#5) Can you draw a ray that is OPPOSITE to my ray, so that it will pass the Drag Test? Use different colors for your rays.[br]
[color=#ff0000][size=150]Complete question 1 on your printed notes.[/size][/color]
[size=150][color=#0000ff]An [b]ANGLE [/b]consists of two different rays with the same endpoint. The rays are SIDES and the endpoint is the VERTEX.[/color][/size]
#7) a) Use the applet! Drag my angle around.[br][br]b) Draw an angle by drawing two rays with a common endpoint.[br][br]c) Draw an angle using the angle tool. [icon]/images/ggb/toolbar/mode_angle.png[/icon] Add rays.[br][br]d) Draw an angle using the angle with a given measure tool. [icon]/images/ggb/toolbar/mode_anglefixed.png[/icon] Add rays.
#8) Name this angle in 3 different ways.
No! The side length doesn't affect the angle measure.[br][br][math]\angle X[/math] , [math]\angle AXB[/math] , or [math]\angle BXA[/math]
[size=200]Do #2-7 on your [/size][size=200][color=#9900ff]PRINTED NOTES[/color][/size][size=200].[/size]
#9) Measure the angle shown with the class, and then check your answer.[br]Now spend some time changing the angle, and measuring it. Be sure to measure small and large angles, and also to use both protractors.
[size=150][color=#0000ff][size=200]CLASSIFYING ANGLES[/size][/color][/size]
[size=150][color=#0000ff]Angle Bisector Theorem[br][br][/color]An [u]angle bisector[/u] is created when a [u]segment[/u] (the bisector) passes through the vertex of an angle, creating [u]two congruent angles[/u].[/size]
Complete questions 4 and 5 on your printed notes.