Question

drag the tiles to correctly complete the sentences below. point a has coordinates (-3, 4). if a is reflected over the y - axis, its image has coordinates a. if a is reflected over the x - axis, its image has coordinates b. if a is reflected over the line y = x, its image has coordinates c. (-4,-3) (-4,3) (3,-4) (3,4) (4,-3) (-3,-4)

Explanation:

Step1: Recall y - axis reflection rule

When a point $(x,y)$ is reflected over the $y$-axis, the rule is $(-x,y)$. Given point $A(-3,4)$, so $x=-3,y = 4$, and the new point is $(3,4)$.

Step2: Recall x - axis reflection rule

When a point $(x,y)$ is reflected over the $x$-axis, the rule is $(x,-y)$. For point $A(-3,4)$, the new point is $(-3,-4)$.

Step3: Recall y = x reflection rule

When a point $(x,y)$ is reflected over the line $y = x$, the rule is $(y,x)$. For point $A(-3,4)$, the new point is $(4,-3)$.

Answer:

A. $(3,4)$
B. $(-3,-4)$
C. $(4,-3)$