Explore Activity COMPLETE THE FOLLOWING USING ONLY A STRAIGHTEDGE AND COMPASS. A. Construct duplicates of the following line segments. 1. A 2. C 3. E
B D F
B. Use the segments from Section A to construct a line segment with length AB + CD. C. Use the segments from Section A to construct a line segment with length AB + 2EF – CD D. Construct duplicates of the following angles: 1
2.
E. Draw 2 Acute angles. Construct a third angle with a measure equal to the sum of the measures of the first two angles. F. Draw an equilateral triangle using the following line segment: A B G. Construct triangle ABC with segment OU connecting the midpoint O of AB and the midpoint U of AC. H. Construct a 900 angle, a 450 angle, and a 1350 angle. I. Draw a large acute triangle. Bisect each of the angles making sure the bisector crosses the opposite side of the triangle. Construct an altitude from one vertex and a median from another vertex. Explain anything you might notice about any of the lines. If you drew a different triangle would the same things happen? J. Draw a large scalene obtuse triangle ABC with angle B the obtuse angle. Construct the angle bisector BR, the median BM, and the altitude BS. What order are the letters M, R, and S, on the segment AC? Will this order always be the same (no matter the size of angle B)? Write a conjecture.
Š 2008 Transformation 2013
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Last Updated: 9/25/08