UNIT 4 LESSON 2: ISOSCELES TRIANGLE THEOREM AND ITS CONVERSE
ISOSCELES TRIANGLE THEOREM
DIRECTIONS:[br]1) Use the CIRCLE WITH CENTER THROUGH POINT [icon]/images/ggb/toolbar/mode_circle2.png[/icon] tool to construct a circle with center [i]A[/i] that [br] passes through [i]B[/i]. [br][br]2) Select the POINT ON OBJECT [icon]/images/ggb/toolbar/mode_pointonobject.png[/icon] tool. With this tool selected, touch the circle in 2 different spots [br] to plot two different points, [i]C[/i] and [i]D[/i], on the circle itself. [br][br]3) Use the POLYGON [icon]/images/ggb/toolbar/mode_polygon.png[/icon] tool to construct the triangle [i]ACD[/i]. [br] How would you classify this triangle by its sides? Why is this? [br][br]4) Select the MOVE [icon]/images/ggb/toolbar/mode_move.png[/icon] tool. Now touch one blue segment that serves as a side of this triangle. [br] In the style bar that appears, select the "Aa" icon. Check "Value" to show the length of this segment. [br] Repeat this action for the other 2 sides as well. [br][br]5) Use the ANGLE [icon]/images/ggb/toolbar/mode_angle.png[/icon] tool to find and display the measures of all 3 angles of this triangle.
[color=#0000ff]When you're done (or if you're unsure of something), feel free to check by watching the quick silent screencast below the applet. [/color]
6)
What do you notice? (Be sure to select the MOVE tool again and move all 4 points around!) [br]
Quick (Silent) Demo
CONVERSE OF THE ISOSCELES TRIANGLE THEOREM
Interact with the applet below for a few minutes. [br]Then, answer the questions that follow. [br][i][br]Be sure to change the locations of the white points and gray point each time[br]before you re-slide the slider![/i]
CONVERSE OF THE ISOSCELES TRIANGLE THEOREM QUESTIONS
[color=#000000]1) Notice how the the triangle was constructed by constructing the [/color][color=#38761d]green angles[/color][color=#000000] first. [br] [/color][color=#38761d]What is true about the green angles? [/color]
[color=#000000]2) [/color][color=#980000]What else did you notice about this triangle? Explain.[br][/color](HINT: Think about the sides)
[color=#000000]3) Fill in the blanks in the statement below to construct a true statement: [br][br][/color][color=#000000] If [/color][color=#38761d]two __________________ of a triangle are _______________,[/color][color=#000000] then [/color][color=#980000]the ______________[/color][color=#000000] opposite [/color][color=#38761d]those[br][br] __________________ [/color][color=#980000]are also _________________. [/color]