Question

a triangle has vertices at l(2, 3), m(4, 4) and n(1, 6). the triangle is transformed according to the rule r_{180}. which statements are true regarding the transformation? choose three correct answers. the coordinates of n are (-1, -6). the rule for the transformation is (x, y)→(-x, -y). the coordinates of l are (-2, -2). the coordinates of n are (6, -1). the coordinates of m are (-1, 4).

Explanation:

Step1: 180° rotation rule

The transformation rule for \( R_{180^\circ} \) is \( (x,y) \to (-x,-y) \).

Step2: Find L' coordinates

Original L: (2,2). Apply rule: \( (-2,-2) \).

Step3: Find M' coordinates

Original M: (4,4). Apply rule: \( (-4,-4) \).

Step4: Find N' coordinates

Original N: (1,6). Apply rule: \( (-1,-6) \).

Answer:

The rule for the transformation is (x,y)→(-x,-y).
The coordinates of L' are (-2,-2).
The coordinates of N' are (-1,-6).