To construct the angle bisectors, follow these steps:
1. Draw a point on the lower diagonal beam where it intersects with the base of the truss.
2. Use a compass to draw a circle centered at this point that intersects with both the base and the lower diagonal beam.
3. Label the points where the circle intersects with the lower diagonal beam as point A and B.
4. Use a straightedge to draw a line connecting point A on the lower diagonal beam to the top of the upright (the midpoint of the base).
5. Use a compass to measure the distance from point B to the point where the lower diagonal beam intersects with the base.
6. Draw an arc with this distance centered at point A.
7. Label the point where this arc intersects with the base as point C.
8. Draw a line connecting points B and C.
9. This line is the angle bisector of the angle formed between the base and the lower diagonal beam. Repeat the same steps for the other side of the truss.
Question 1
Marquise starts with a beam that is 6 feet long for the base of the truss. He needs to draw a line that is a perpendicular bisector to this beam for an upright. Draw a line segment to scale and construct the perpendicular bisector.
Question 2
Another 6-foot-long beam is attached to the middle of the base for an upright. Construct a line segment along the base’s perpendicular bisector that is equal in length to the base and extends above it.
Part B
Marquise draws two diagonals to attach each end of the base to the top of the upright. This forms two right triangles that share a side.
Question 3
He wants to verify that the angles formed between the base and the diagonals have the same measure on both sides before he proceeds. Draw one diagonal beam, then construct a congruent angle on the other side to be used to draw the other beam.
Question 4
Marquise realizes that the truss could use additional support. He decides to add another lower diagonal beam that bisects the angle formed between the base and the upper diagnal construct the two angle bisectors
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