What coordinate for F would make triangle ABC and triangle DEF congruent? (The file of the image is attached!) (3,3) (3,2) (2,3) (2,2)
Mathematics
swalla
Question
What coordinate for F would make triangle ABC and triangle DEF congruent? (The file of the image is attached!)
(3,3)
(3,2)
(2,3)
(2,2)
(3,3)
(3,2)
(2,3)
(2,2)
2 Answer

1. User Answers mathnstuff
(2,3) would make these two triangles congruent.
If you look at the slope of line DE, you see it has a 1 slope.
Line BA also has a 1 slope.
So line AC = line FE and line BC = line FD
The slope of AC is 3
The slope of BC is 1/3
Two possible points for F are (2,1) and (2,3)
Since (2,1) is not an option, C. (2,3) is your answer. 
2. User Answers confuzzledzzz
(2,3) The x and y coordinates are the opposites of the original shape's coordinates.
Ex) Point B matches up with Point E. Point B coordinates are (1,2). And Point E coordinates are (1,2). opposite of 1 is 1 and opposite of 2 is 2.