Question

perform the given transformations on points d and e, and then on their images. first, reflect points d and e each over the y - axis. original point image d (3, - 7) de (5, - 4) e

Explanation:

Step1: Recall the reflection rule over the y - axis

When reflecting a point \((x,y)\) over the \(y\) - axis, the rule is \((x,y)\to(-x,y)\).

Step2: Apply the rule to point \(D(3, - 7)\)

For point \(D(3,-7)\), using the rule \((x,y)\to(-x,y)\), we substitute \(x = 3\) and \(y=-7\). Then \(D'\) has coordinates \((-3,-7)\).

Step3: Apply the rule to point \(E(5,-4)\)

For point \(E(5, - 4)\), using the rule \((x,y)\to(-x,y)\), we substitute \(x = 5\) and \(y=-4\). Then \(E'\) has coordinates \((-5,-4)\).

Answer:

\(D'(-3,-7)\), \(E'(-5,-4)\)