Question

a triangle has vertices at l(2, 2), m(4, 4), and n(1, 6). the triangle is transformed according to the rule r0, 180°. which statements are true regarding the transformation? select three options. the rule for the transformation is (x, y)→(-x, -y). the coordinates of l are (-2,-2). the coordinates of m are (-4,4). the coordinates of n are (6,-1). the coordinates of n are (-1,-6).

Explanation:

Step1: Recall 180 - degree rotation rule

The rule for a 180 - degree rotation about the origin $R_{0,180^{\circ}}$ is $(x,y)\to(-x, -y)$.

Step2: Apply rule to point L

For point $L(2,2)$, using the rule $(x,y)\to(-x, -y)$, we get $L'( - 2,-2)$.

Step3: Apply rule to point M

For point $M(4,4)$, using the rule $(x,y)\to(-x, -y)$, we get $M'(-4,-4)$.

Step4: Apply rule to point N

For point $N(1,6)$, using the rule $(x,y)\to(-x, -y)$, we get $N'(-1,-6)$.

Answer:

The rule for the transformation is $(x,y)\to(-x, -y)$; The coordinates of $L'$ are $(-2,-2)$; The coordinates of $N'$ are $(-1,-6)$