Question

Triangle ABC is translated on the coordinate plane below to create triangle A'B'C'.



If parallelogram EFGH is translated according to the same rule that translated triangle ABC, what is the ordered pair of point H'?

(-15, -3)

(-9, 3)

(1, -7)

(-5, -13)

Answer 1

First, find the rule that translated triangle ABC. Look at the image. The point A was (-3,6); the point A' is (1,4). As -7+8=1, 6-2=4, now we find that the rule that translated triangle ABC is (x+8, y-2). We can use this rule to find B' or C' to see if it is correct. Point B is (-5,3); -5+8=3, 3-2=1, thus B' is (3,1). The rule is correct.
So now it is easily to locate the point H'. -7+8=1, -5-2=-7. H' is (1, -7).

Answer 2

Triangle ABC was translated +8,-2 so right 8 and down 2. (in coord pairs the order is (x,y) and 8 was added to the x axis and -2 was added to the y axis) You do the same thing to parrallelogram EFGH.
The coordinates of point H is (-7,-5) so you add 8 to -7 and you subtract 2 from -5
Because -7+8=1 and -5-2=-7 the coordinate pair representing H' is (1,-7)

Hope this helped!

-- Trantom

Answer 3

(1,-7) correct