lab-2-assignment - BC intersect and label this point D . 4)...

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M 333 L Fall 2010 Lab Assignment #2 Make 4 sketches each showing a triangle with measurements and ratio calculations that illustrate the truth of Theorem (NIB) 4.2 , the "Angle Bisector Third Side Cut" Theorem. On each sketch, in a caption, describe how the sketch illustrates the truth of Theorem (NIB) 4.2, The "Angle Bisector Third Side Cut" Theorem. Drag the vertices of each triangle so that the triangle in each sketch has the required ratio. (See the ratio list at the end of these instructions.) Print out each sketch to turn in. Always use "Print Preview" first and select "Fit to Page". Sometimes you must lower the percent reduction slightly still. On each sketch: 1) Label the vertices of the triangle A, B, and C. 2) Construct the angle bisector of BAC . [ Do this by selecting B, A, and C in order and then select “Angle Bisector” on the Construct menu. ] 3) Construct the point where the angle bisector and the side
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Unformatted text preview: BC intersect and label this point D . 4) Measure angles BAD and CAD . 5) Measure the distances AB , BD, DC, and AC . 6) Calculate the two ratios of segments discussed in the statement of Theorem (NIB) 4.2, The "Angle Bisector Third Side Cut" Theorem . Calculate these ratios using the Calculator in the "Measure" Menu, selecting (by clicking on) the measurements reported by the Sketchpad program. [The names of the segments you use will be different from the names of the segments used in the theorem.] Make sure that the two ratios you calculate are equal. For Sketch #1, the ratio must be between 0.19 and 0.21, but try to make it 0.20 exactly. For Sketch #2, the ratio must be between 0.74 and 0.76, but try to make it 0.75 exactly. For Sketch #3, the ratio must be between 0.9 and 1.1, but try to make it 1.0 exactly. For Sketch #4, the ratio must be between 7.4 and 7.6, but try to make it 7.5 exactly....
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