SOLUTION: Given: A (2,3), B (5,-1), C (1,0), D (-4,-1), E(O,2), F(-1,-2) Prove: Triangle ABC is congruent to triangle DEF

Question 1093258: Given: A (2,3), B (5,-1), C (1,0), D (-4,-1), E(O,2), F(-1,-2)
Prove: Triangle ABC is congruent to triangle DEF

Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

Use the distance formula to show that AB=DE, AC=DF, and BC=EF.

Note that, with integer inputs, the distance formula often (usually) gives answers involving square roots. But if two lengths involving square roots are equal, then the squares of those lengths are also equal. So in using the distance formula, we don't need to deal with the square roots at all.

So to show AB=DE, we have
for the square of the length of AB, and
for the square of the length of DE.

So legs AB and DE are the same length.

Perform the similar calculations to show the other pairs of corresponding sides are the same lengths.
RELATED QUESTIONS
given: A(2,3), B(5,-1), C(1,0), D(-4,-1), E(0,2), F(-1,-2) prove: angle ABC is congruent (answered by richard1234)

GIVEN: triangle ABC has vertices A(2,1) B(7,4) and C(4,-1) triangle DEF has vertices... (answered by solver91311)

2. In addition to the information given in the figures, which fact(s) could allow you to... (answered by richwmiller)

Statement 1. Angle N congruent to angle R 2. Segment MP bisects angle NMR 3. C____?... (answered by lynnlo)

Please help me with geometry triangle Triangle ABC has been rotated 90° to create... (answered by MathLover1)

If triangle ABC can be mapped onto triangle DEF through a sequence of rigid motions,... (answered by ikleyn)

given <1=<2 prove... (answered by rapaljer)

given <1 = <2 prove (answered by rapaljer)
1. What additional information do you need to prove triangle GHI is congruent to... (answered by KMST)