Question

1. which transformation does not belong with the other three? (circle one)
2. determine whether each coordinate plane shows a reflection in the x - axis, y - axis, or neither.
3. graph the polygon with the given vertices and its image after a reflection in the given line.

a. j(2, - 4), k(3, 6), l(6, - 1); x - axis
b. j(5, 3), k(1, - 2), l(-3, 4); y - axis

Explanation:

Step1: Identify transformation types

Three are reflections; one is translation (second image).

Step2: Determine reflection axes (Q2)

a: x-axis (y-coordinate negated), b: y-axis (x-coordinate negated), c/d: neither.

Step3: Apply x-axis reflection (Q3a)

(x,y)→(x,-y): J'(2,4), K'(3,-6), L'(6,1).

Step4: Apply y-axis reflection (Q3b)

(x,y)→(-x,y): J'(-5,3), K'(-1,-2), L'(3,4).

Answer:

1. The second transformation (two triangles vertically aligned).
2. a. Reflection in the x-axis, b. Reflection in the y-axis, c. Neither, d. Neither.
3. a. J'(2,4), K'(3,-6), L'(6,1); b. J'(-5,3), K'(-1,-2), L'(3,4)