SOLUTION: I'm having trouble with the following problem, apparently in solving this solution I was told that the proof was oversimplified and more information was needed. I'm at a lost, any
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Question 488188: I'm having trouble with the following problem, apparently in solving this solution I was told that the proof was oversimplified and more information was needed. I'm at a lost, any help you can give would be greatly appreciated.
Thank you.
Given: Triangle BAD is congruent to Triangle CAD
AD is perpendicular to BC
Prove: Triangle ABC is isosceles
My solution:
Triangle BAD is congruent to Triangle CAD (statement) Given (reason)
AD is perpendicular to BC (statement) Given (reason)
BA is congruent to AC (statement) Corresponding parts of congruent triangles (reason)
You can put this solution on YOUR website!
If we assume that the labeling in the problem ("Given triangle BAD is congruent to triangle CAD") is correct, then right away we can claim BA = CA and triangle ABC is isosceles (you might want to say BA = CA --> ABC is isosceles in your proof).
If the labeling is incorrect (e.g. triangle BAD is actually congruent to triangle CDA") then that is a mistake on the textbook. Just make sure you also label your points correctly, matching corresponding ones next to each other.
Either way, you would want to specify that BA = CA implies that triangle ABC is isosceles.
