Mathematics

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)
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)

2 Answer

  • (-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,-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.
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