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Which choice shows the image of triangle ABC after a reflection over the y-axis followed by a clockwise rotation of 90 around the origin?

Which choice shows the image of triangle ABC after a reflection over the y-axis followed-example-1
User Emanuel Trandafir
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1 Answer

11 votes
11 votes

There are two operations to be performed on the triangle. The first one is a reflection over the y-axis, while the other is a rotation of 90 degrees clockwise.

When we do a reflection over one of the axis, the points we are reflecting should have the same distance to the axis, but they must be located on the oposite side of it. For instance, the point A in the triangle is originally located 5 ticks to the left of the axis, therefore when reflected around that axis it should be located 5 ticks to the right. Performing this operation on this triangle should position it at the first quadrant with the point A posistioned further to the right.

When we do a rotation around the origin we need imagine a circle that has its center in the origin and the points on the triangle should mantain their distances to the origin while rotating around that circle. When we perform this rotation on the triangle that was on the first quadrant it should go to the fourth quadrant while inverting the position of the point A, that should be the further point from the x-axis.

With these in mind, the correct option is the first one.

User Peter Mogilnitski
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