Question

graph the image of trapezoid qrst after a reflection over the x - axis.

Explanation:

Step1: Find Coordinates of Original Points

Let's assume \( Q(1,-4) \), \( R(2,-2) \), \( S(3,-6) \), \( T(2,-9) \).

Step2: Apply Reflection Rule

The rule for reflection over the \( x \)-axis is \( (x,y)\to(x, -y) \).
For \( Q(1,-4) \): \( (1,-4)\to(1,4) \).
For \( R(2,-2) \): \( (2,-2)\to(2,2) \).
For \( S(3,-6) \): \( (3,-6)\to(3,6) \).
For \( T(2,-9) \): \( (2,-9)\to(2,9) \).

Step3: Plot New Points

Plot \( Q'(1,4) \), \( R'(2,2) \), \( S'(3,6) \), \( T'(2,9) \) on the coordinate - plane and connect them to form the reflected trapezoid.

Answer:

Plot the points \( (1,4) \), \( (2,2) \), \( (3,6) \), \( (2,9) \) and connect them.