To graph: The rectangle and its image which reflect over x axis.
Answer to Problem 2.7.2EP
The graph of rectangle with vertices
And the image of reflection of rectangle about x axis is mentioned below whose vertices are
Explanation of Solution
Given information:
The vertices of rectangle is mentioned below.
Formula used:
On reflection about x axis on Cartesian plane the sign of y co-ordinate will change.
Graph:
The graph of rectangle with vertices
The graph is labelled on the Cartesian co-ordinate of x axis and y axis. The vertices of rectangle is plotted on real number line of positive x co-ordinate and positive y co-ordinate as mentioned in the graph below.
And the image of the rectangle about x axis with vertices
Interpretation:
Consider the vertices of rectangle is mentioned below.
Recall that on reflection about x axis on Cartesian plane the sign of y co-ordinate will change.
Therefore on reflection about x axis the sign of x co-ordinate of vertices of rectangle will not change and sign of y co-ordinate of vertices will change.
Therefore graphical representation of rectangle with vertices
And the image of reflection of rectangle about x axis is mentioned below whose vertices are
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