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The vertices of figure STUV have coordinates S(−2, 2), T(2, 3), U(1, −1), and V(−3, −1).The vertices of figure S'T'U'V' have coordinates S′(2, −2), T′(6, −1), U(5,  −5), and V'(1,  −5).Which transformation of figure STUV produced figure S'T'U'V' ?A: a reflection across the x-axisB: a translation 4 units left and 4 units upC: a reflection across the y-axisD: a translation 4 units right and 4 units down

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Solution

- The figure STUV and its image S'T'U'V' can be plotted on a graph together as follows:

(The above image was plotted using a graphing calculator)

- Thus, all we just need to do is to count the number of units V has moved to V' or S to S' or any of the other points.

- Using V to V', this can be illustrated as follows:

- Thus, we can see that the image was formed by moving the original 4 units down and 4 units to the right.

Final Answer

The answer is OPTION D

Ver imagen SanamD426340
Ver imagen SanamD426340

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