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Triangle ABC lies on the coordinate plane with vertices located at A(7,6), B(-3,5), and
C(-4,9). The triangle is transformed using the rule (x,y) -> (2x.y-3) to create triangle
A'B'C'. Select all possible answers for the vertices of triangle A'B'C'.
a. (14,3)
b. (9,3)
c. (-6,10)
d. (-8,6)
e. (-6,2)



Answer :

xero099

The coordinates of the vertices of the triangle A'B'C' are (14, 3), (- 6, 2) and (- 8, 6), respectively. (Correct choices: A, E, D)

What are the coordinates of the vertices of a traingle after using transformation rule?

In this question we find the locations of the three vertices of the triangle, each of which has to be transformed by using a non-rigid transformation rule, that is, a transformation rule that does not conserve the original form of the triangle. We are asked to determine the possible coordinates associated with the triangle A'B'C.

If we know that A(x, y) = (7, 6), B(x, y) = (- 3, 5) and C(x, y) = (- 4, 9), then the coordinates of the vertices of the triangle A'B'C' are:

A'(x, y) = (2 · 7, 6 - 3)

A'(x, y) = (14, 3)

B'(x, y) = (2 · (- 3), 5 - 3)

B'(x, y) = (- 6, 2)

C'(x, y) = (2 · (- 4), 9 - 3)

C'(x, y) = (- 8, 6)

The coordinates of the vertices of the triangle A'B'C' are (14, 3), (- 6, 2) and (- 8, 6), respectively. (Correct choices: A, E, D)

To learn more on non-rigid transformations: https://brainly.com/question/1447109

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