ΔABC is reflected across the x-axis and then translated 4 units up to create ΔA′B′C′. What are the coordinates of the vertices of ΔA′B′C′?
A′(-3, 3), B′(-1, 1), C′(-2, 3)
A′(3, -3), B′(1, -1), C′(2, -3)
A′(3, -5), B′(1, -7), C′(3, -5)
A′(-3, 3), B′(-1, 1), C′(-2, -3)

A is the correct ans!

easiest way to solve is to follow line AC:

it was at y=1

so reflect across x-axis,

it became y=-1

translate up by 4,

then it ends up at y=-1+4=3

so the final y-coordinate of A and C should be +3

A is the only possible ans

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maheshpatelvVT maheshpatelvVT · Answer 2 · 2022-07-25T22:59:06+02:00

The coordinates of the vertices of triangle A'B'C' are A'(-3, 3), B'(-1, 1), and C'(-2, 3) option (A) is correct.

What is geometric transformation?

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have:

ΔABC is reflected across the x-axis and then translated 4 units up to create ΔA′B′C′.

From the picture:

The coordinates of the vertices of triangle ABC are A(-3, 1), B(-1, 3), and C(-2, 1).

The rule for reflection:

(x, y) ⇒ (x, -y)

A(-3, 1) ⇒ (-3, -1)

B(-1, 3) ⇒ (-1, -3)

C(-2, 1) ⇒ (-2, -1)

Translated 4 units up

(x, y) ⇒ (x, y+4)

(-3, -1) ⇒ (-3, -1+4) = (-3, 3),

(-1, -3) ⇒ (-1, -3+4) = (-1, 1),

(-2, -1) ⇒ (-2, -1+4) = (-2, 3).

Thus, the coordinates of the vertices of triangle A'B'C' are A'(-3, 3), B'(-1, 1), and C'(-2, 3) option (A) is correct.

Learn more about the geometric transformation here:

brainly.com/question/16156895

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