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Find the composition oftransformations thatmap ABCD to EHGF.Reflect over the [? ]-axis,then translate

Find the composition oftransformations thatmap ABCD to EHGF.Reflect over the [? ]-axis-example-1
User Daniel Ocando
by
3.1k points

1 Answer

15 votes
15 votes

Transformations:

We are given the polygon ABCD with coordinates:

A(-5, 2) B(-3, 4) C(-2, 4) D(-1, 2)

When we reflect a point (x, y) over the x-axis, it maps to (x, -y).

Reflecting the polygon over the x-axis, it maps to:

A'(-5, -2) B'(-3, -4) C'(-2, -4) D'(-1, -2)

Now we must translate A'B'C'D' to EHGF (in that order). The coordinates of all the corresponding points are:

E(1, -1) H(3, -3) G(4, -3) F(5, -1)

The difference in the x-coordinates is 1 - (-5) = 6

The difference in the y-coordinates is -1 - (-2) = 1

Thus, the translation rule is (

User Amrita Stha
by
3.0k points