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Big Ideas Math Integrated I, 2016 View details

2. Reflections

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Exercise 15 Page 556

Recall that if a point (a,b) is reflected in the line y=- x, then its image is (- b, - a).

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Before we begin, let's draw the line of reflection.

To reflect the quadrilateral in the given line, we will reflect its vertices. Recall that if a point (a,b) is reflected in the line y=- x, then its image is (- b, - a). With this, let's reflect each vertex of the quadrilateral. &ABCD && A'B'C'D' & A(-3,2) && A'(-2,3) & B(1,-1) && B'(1,-1) & C(-2,-2) && C'(2,2) & D(-4,-1) && D'(1,4) Now that we know the reflected vertices, we can plot them and graph the image.