The coordinates of the reflection of a point (x, y), across the y-axis is the point (-x, y)
Please find attached the plot of the image of quadrilateral ABCD under a reflection of the line l
Method:
The coordinates of the vertices of the given quadrilateral ABCD are as follows
A(-2 0), B(-3, 4), C(0, 4), and D(-1, 1)
Due to its orientation, the line l can be taken as being equivalent to the y-axis
The coordinates of the image of (x, y) following a reflection across the y-axis is (-x, y)
Therefore, for the image of the quadrilateral ABCD following a reflection across the y-axis to give the quadrilateral A'B'C'D', the coordinates of A'B'C'D' are;
A(-2 0), reflected across the y-axis gives the image A'(2, 0)
B(-3, 4), reflected across the y-axis gives the image B'(3, 4)
C(0, 4), reflected across the y-axis gives the image C'(0, 4)
D(-1, 1), reflected across the y-axis gives the image D'(1, 1)
The coordinates with which the image of the of the quadrilateral ABCD can be plotted are therefore;
A'(2, 0), B'(3, 4), C'(0, 4), and D'(-1, 1)
The plot of the quadrilateral ABCD and the image A'B'C'D' can be created using MS Excel presented in the attached graph
Learn more about transformations here:
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