Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

using the pencil, plot the reflection of point a across the x-axis.

Question

using the pencil, plot the reflection of point a across the x-axis.

Explanation:

Step1: Find coordinates of point A

From the graph, point A is at $(3, 5)$ (since it's 3 units right on x - axis and 5 units up on y - axis).

Step2: Apply reflection rule over x - axis

The rule for reflecting a point $(x,y)$ across the x - axis is $(x, -y)$. So for point A $(3,5)$, the reflection will be $(3, - 5)$.

Step3: Plot the reflected point

Locate $x = 3$ and $y=-5$ on the coordinate plane and mark the point.

Answer:

The reflection of point A (with coordinates (3, 5)) across the x - axis is the point with coordinates (3, - 5). To plot it, find the position 3 units to the right of the origin on the x - axis and 5 units below the x - axis (since y=-5) on the coordinate grid and mark that point.