Let A=(0,0), B=(1,3), and C=(3,3) be points in the Cartesian plane with the max distance Ds={|x1-x2|,|y1-y2|}. Prove that segment AB is congruent to segment AC. Sketch the two segments. Do they look congruent?
My problem: I am not seeing how they are congruent. How can I write a proof if they aren't actually congruent? What am I missing?
The distance is the larger of the two. The larger of {1, 3} is 3 and the larger of {3, 3} is 3. Those are the same distances so the segments are congurent.
You have "max" misplaced in your first post. it should be "distance Ds= max{|x1-x2|,|y1-y2|}" not "max distance Ds={|x1-x2|,|y1-y2|}"