Question

question 5 points 3
the endpoints of the line segment pq are (10, 1) and (7, 1). if the line segment pq is reflected across y-axis, then find the endpoints of the reflected line segment.

p(10, 1) and q(7, 1)

p(-10, 1) and q(-7, 1)

p(10, -1) and q(7, -1)

p(-10, -1) and q(-7, -1)

Explanation:

Step1: Recall reflection over y - axis rule

The rule for reflecting a point \((x,y)\) across the \(y\) - axis is \((x,y)\to(-x,y)\).

Step2: Apply the rule to point \(P(10,1)\)

For point \(P(10,1)\), using the reflection rule, the \(x\) - coordinate changes its sign. So \(P'\) has coordinates \((- 10,1)\).

Step3: Apply the rule to point \(Q(7,1)\)

For point \(Q(7,1)\), using the reflection rule, the \(x\) - coordinate changes its sign. So \(Q'\) has coordinates \((-7,1)\).

Answer:

\(P'(-10,1)\) and \(Q'(-7,1)\) (the second option)