SOLUTION: given: A(2,3), B(5,-1), C(1,0), D(-4,-1), E(0,2), F(-1,-2) prove: angle ABC is congruent to angle DEF

Question 389081: given: A(2,3), B(5,-1), C(1,0), D(-4,-1), E(0,2), F(-1,-2)
prove: angle ABC is congruent to angle DEF
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Instead of Pythagorean-theorem bashing, I'm only going to find the change in x and y for each pair of points:

(The partial differential operator should be uppercase, which represents a total change. Also, I'm taking the absolute value since Pythagorean theorem only depends on the squares of the numbers, regardless of whether change is positive or negative.

A,B

B,C

C,A

D,E

E,F

D,F

We see that AB = DE = 5, AC = DF = , BC = EF = . By SSS, ABC and DEF are congruent triangles.

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