Question

Alex plotted A(-2, 5), B(-5, 3), and C(-3, 2) and joined the points to form triangle ABC. He plotted two other points at P(3, 5) and Q(4, 2).

What should be the coordinates of the third point R to form triangle PQR that is congruent to triangle ABC?
Answer







(1, 3)








(2, 1)








(5, 2)








(6, 3)

Answer 1

it's (6,3)
i'm not sure how to explain it though :S

Answer 2

well, i worked out that the line AC corresponds to the line PQ.

To get from A to P you:
for the x coordinate you make the negative number positive and add one
for the y coordinate you keep it the same.

To get from C to Q you do the same.

So, the point B must correspond to the point R. You use the same rules as before to get from B to R:
the negative x in B is -5, so the x coordinate in R you do +5+1=6
the y coordinate is 3, so the y coordinate in R is 3.

therefore you get R as (6,3)

:)

Answer 3

thank u so much

Answer 4

your welcome :) i drew it out as well to help visualise it :)

Answer 5

my trieangle

Answer 6

my one looked more like that