Question

2a.3 reflections notes
name ____________ date __________ class pd __
activator: reflecting points
use the coordinate plane to answer each question.
a. point f is a reflection of point a across the y-axis. what are the coordinates for point f?
b. point g is a reflection of point a across the x-axis. what are the coordinates for point g?
c. point h is a reflection of point a across both the x-axis and the y-axis. what are the coordinates for point h

Explanation:

Part a

Step1: Find coordinates of A

From the graph, point A is at $(-5, 2)$.

Step2: Reflect over y - axis

The rule for reflecting a point $(x,y)$ over the y - axis is $(x,y)\to(-x,y)$. So for $A(-5,2)$, reflecting over y - axis gives $F(5,2)$.

Step1: Recall coordinates of A

Point A is $(-5, 2)$.

Step2: Reflect over x - axis

The rule for reflecting a point $(x,y)$ over the x - axis is $(x,y)\to(x,-y)$. So for $A(-5,2)$, reflecting over x - axis gives $G(-5,-2)$.

Step1: Recall coordinates of A

Point A is $(-5, 2)$.

Step2: Reflect over both axes

First, reflect over y - axis: $(-5,2)\to(5,2)$ (from part a rule). Then reflect the result over x - axis: $(5,2)\to(5,-2)$ (using x - axis reflection rule $(x,y)\to(x,-y)$). Or we can use the rule for reflecting over both axes: $(x,y)\to(-x,-y)$. For $x = - 5,y = 2$, we get $(-(-5),-2)=(5,-2)$.

Answer:

$(5, 2)$

Part b