Question

Help and thank youA) a clockwise rotation of 180 about the originB) a clockwise rotation 90 about the originC) a reflection across the line y = xD) a reflection across the x-axis

Answer 1

We will have that the transformation done to triangle JKL to MNO was a clockwise rotation of 180° about the origin. [Option B].

***Explanation***

First: We will determine the rule that applies to a 180° clockwise rotation, that is:

$(x,y)\to(-x,-y)$

*Second: We determine the positions of the points, that is:

J(-4, 1)

K(-5, 3)

L(-2, 4)

*Third: We apply the rule:

J(-4, 1) -> J'(4, -1)

K(-5, 3) -> K'(5, -3)

L(-2, 4) -> L'(2, -4)

*Finally we can see that these are the same points that are located on triangle MNO, thus the 180° transformation is proven.