Question

plot and label the ordered pairs to create a shape. a (3,4) b (1,2) c (5,2) reflect the shape over the x axis and label abc.

Explanation:

Step1: Recall reflection over x - axis rule

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

Step2: Find \(A'\)

For point \(A(3,4)\), applying the reflection rule: \(x = 3\), \(y=4\), so \(A'=(3,-4)\).

Step3: Find \(B'\)

For point \(B(1,2)\), applying the reflection rule: \(x = 1\), \(y = 2\), so \(B'=(1,-2)\).

Step4: Find \(C'\)

For point \(C(5,3)\), applying the reflection rule: \(x = 5\), \(y = 3\), so \(C'=(5,-3)\).

Answer:

The coordinates of the reflected points are \(A'(3,-4)\), \(B'(1,-2)\), \(C'(5,-3)\). To plot them, find the \(x\) - coordinate on the \(x\) - axis and the negative \(y\) - coordinate on the \(y\) - axis (below the \(x\) - axis) and mark the points, then label them as \(A'\), \(B'\), \(C'\) respectively.