Question

example 2 check your turn! triangle jkl has coordinates j(2, -8), k(6, -7), and l(4, -2). determine the coordinates of the image after a reflection in the x - axis. a. j(2, 8), k(6, 7), l(4, 2) b. j(-2, -8), k(-6, -7), l(-4, -2) c. j(-2, 8), k(-6, 7), l(-4, 2) d. j(2, -8), k(6, -7), l(4, -2)

Explanation:

Step1: Recall the rule for reflection over the x - axis

When a point \((x,y)\) is reflected over the \(x\) - axis, the rule is \((x,y)\to(x, - y)\).

Step2: Apply the rule to each vertex

• For vertex \(J(2,-8)\):

Using the rule \((x,y)\to(x, - y)\), we get \(J'(2,8)\) (since \(y=-8\) and \(-y = 8\)).

• For vertex \(K(6, - 7)\):

Using the rule \((x,y)\to(x, - y)\), we get \(K'(6,7)\) (since \(y = - 7\) and \(-y=7\)).

• For vertex \(L(4,-2)\):

Using the rule \((x,y)\to(x, - y)\), we get \(L'(4,2)\) (since \(y=-2\) and \(-y = 2\)).

Answer:

A. \(J'(2,8)\), \(K'(6,7)\), \(L'(4,2)\)