Question

The coordinates of the vertices of △JKL are J(3,4) K(3,1) L(1,1). coordinates of the vertices of △J’K’L’ are J’(-3,-5) K’(-3,-2) L’(-1,-2). Dragon drop the answers into the boxes to correctly complete dragon drop answers into the boxes to correctly complete the statement. A sequence of transformations that maps △JKL TO J’K’L’ is a (fill blank) follwed by a (fill blank). Answer Choices are : Rotation of 90 degrees counterclockwise about the origin. Rotation of 180 degrees about the origin. Translation 1 unit down. translation 1 unit left.

Answer 1

Given coordinates of △JKL are J(3,4) K(3,1) L(1,1) and

△J’K’L’ are J’(-3,-5) K’(-3,-2) L’(-1,-2).

We know, when we rotate a figure about 180 degrees about the origin, the coordinates (x,y) would result (-x,-y).

So, first step should be "Rotation of 180 degrees about the origin."

After rotating 180 degrees about the origin, J(3,4) K(3,1) L(1,1) points would transform to  J(-3,-4) K(-3,-1) L(-1,-1).

Now, we will move 1 unit down. So the new coordinate of (-x,-y) would become (-x, -y-1) and J(-3,-4) K(-3,-1) L(-1,-1) coordinates would transform to exactly J(-3,-4-1) K(-3,-1-1) L(-1,-1-1)  => J’(-3,-5) K’(-3,-2) L’(-1,-2).

And those are the coordinates of transformed triangle △J’K’L’.

So, the steps of transformations are as following:

Setp 1) Rotation of 180 degrees about the origin.

Setup 2) Translation 1 unit down.