Congruence-creating a triangle
posted by Jen .
Three segments are given.
I need to draw one segment with the same length as any one of the given segments.
Then take the measure of another given segment with my compass and draw a cirlce of that radius from the endpoint of my first segment.
The question is:
1. What is true of any segment that connects this endpoint of the first segment to a point on the circle? Why?
2. Connect both endpoints of the first segment to one of the points where the circles intersect. What is true of the figure you just created? Why?
Truth: The segment created will be the same length as the measure of the given segment: why? it was measured beforehand.
The figure you just created is a triangle with sides congruent to the three segments originally given.
I am not certain of the point of this exercise.