Question

List the points of the triangle if it were dilated by 2 times it’s size

Answer 1

Answers:

P ' (14, 6)

Q ' (12, 12)

R ' (18, 10)

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Explanation:

The point P(7,3) moves to P'(14, 6) after multiplying the x and y coordinates by 2.

7*2 = 14

3*2 = 6

Similarly, Q(6,6) moves to Q'(12,12) following that same rule. Lastly, the point R(9,5) moves to R'(18,10)

The points are twice as far away from the origin compared to their preimage counterparts. This in turn makes the side lengths of triangle P'Q'R' to be twice as long compared to the corresponding side lengths of triangle PQR. Both triangles are different sizes, but the same shape. That makes them similar triangles (but they aren't congruent).