Question

skillstream: reflections of two - dimensional figures with coordinates : 20 coins
type the answers in the spaces provided. use numbers instead of words.
a quadrilateral with vertices at a(4,3), b(6,3), c(5, - 7), and d(0, - 4) is reflected across an axis. the image of vertex b is b(6, - 3).
what are the coordinates of d?
answer
d()

Explanation:

Step1: Identify the axis of reflection

The original point $B(6,3)$ is reflected to $B'(6, - 3)$. The $x$-coordinate remains the same and the $y$-coordinate changes sign. So, the reflection is across the $x$-axis.

Step2: Apply the reflection rule to point $D$

The rule for reflecting a point $(x,y)$ across the $x$-axis is $(x,y)\to(x, - y)$. For point $D(0,-4)$, applying the rule: $x = 0$ and $y=-4$, so the new $y$-coordinate is $-(-4)=4$. The new point $D'$ has coordinates $(0,4)$.

Answer:

$D'(0,4)$