Triangle RST is translated 2 units left and then reflected over the y-axis.

On a coordinate plane, triangle S T R has points (negative 4, 4), (negative 1, 4), (negative 1, 1).

Which transformations of RST will result in the same image? Check all that apply.
a reflection over the y-axis and then a translation 2 units right
a 180degree rotation about the origin, then a translation 2 units right, and then a reflection over the x-axis
a reflection over the y-axis and then a translation 2 units left
a 180degree rotation about the origin, then a translation 2 units left, and then a reflection over the x-axis
a reflection over the x-axis and then a translation 2 units right
a reflection over the x-axis and then a translation 2 units left

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99754310 99754310 · Answer 1 · 2022-02-19T01:21:22+01:00

Answer:

.

Step-by-step explanation:

a reflection over the y-axis and then a translation 2 units right

a 180degree rotation about the origin, then a translation 2 units right, and then a reflection over the x-axis

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MrRoyal MrRoyal · Answer 2 · 2022-05-04T13:22:53+02:00

The transformations of triangle RST will result in the same image are (a) and (b)

The sequence of transformations in the question are given as;

This rule is represented as:

(x,y) -> (-x +2, y)

From the list of options, the rules that can be represented using the above equation are

(a) a reflection over the y-axis and then a translation 2 units right

(x,y) -> (-x, y)

(x,y) -> (-x +2, y)

(b) a 180degree rotation about the origin, then a translation 2 units right, and then a reflection over the x-axis

(x,y) -> (-x, -y)

(x,y) -> (-x +2, -y)

(x,y) -> (-x +2, y)

Hence, the transformations of RST will result in the same image are (a) and (b)