Question

practice: reflecting points in the coordinate plane
graph each point, then reflect the point in the y - axis. record the coordinates of the reflection.
a (1,3), reflection:
b (-2,-2) reflection:
c (-4,5) reflection:
d (2,-5) reflection:
reflect each point in the x - axis and y - axis
ordered pair\treflection in the x - axis\treflection in the y - axis
(-12,13)
(4,-9)
(-10,-8)

Explanation:

Step1: Recall reflection rules

Reflection in the y - axis changes the sign of the x - coordinate while keeping the y - coordinate the same. That is, for a point $(x,y)$ reflected in the y - axis, the new point is $(-x,y)$.

Step2: Reflect point A(1,3)

For point A(1,3), applying the y - axis reflection rule, we change the sign of the x - coordinate. So the reflection is $(-1,3)$.

Step3: Reflect point B(-2,-2)

For point B(-2,-2), changing the sign of the x - coordinate gives $(2,-2)$.

Step4: Reflect point C(-4,5)

For point C(-4,5), after changing the sign of the x - coordinate, the reflection is $(4,5)$.

Step5: Reflect point D(2,-5)

For point D(2,-5), changing the sign of the x - coordinate results in $(-2,-5)$.

For the table:

For point (-12,13)

Reflection in the x - axis changes the sign of the y - coordinate, so it is $(-12,-13)$. Reflection in the y - axis changes the sign of the x - coordinate, so it is $(12,13)$.

For point (4,-9)

Reflection in the x - axis gives $(4,9)$. Reflection in the y - axis gives $(-4,-9)$.

For point (-10,-8)

Reflection in the x - axis gives $(-10,8)$. Reflection in the y - axis gives $(10,-8)$.

Answer:

A. (-1,3)
B. (2,-2)
C. (4,5)
D. (-2,-5)
Table:

Ordered Pair	Reflection in the x - axis	Reflection in the y - axis
(4,-9)	(4,9)	(-4,-9)
(-10,-8)	(-10,8)	(10,-8)