Question

On a coordinate plane, 2 trapezoids are shown. Trapezoid 1 has points A (negative 4, 3), B (1, 3), C (0, 0), and D (negative 3, 0). Trapezoid 2 has points A prime (negative 1, 1), B prime (4, 1), C prime (3, negative 2), and D prime (0, negative 2). Which rule describes the translation?

Answer 1

The rule that describes the translation is a horizontal shift by 3 units right and vertical shift by 2 units down =(x, y) → (x + 3, y -2)

How to depict the translation?

Given the trapezoid 1 with vertices A(-4, 3), B(1, 3), C(0, 0), D(-3, 0)

and trapezoid 2 with vertices A'(-1, 1), B'(4, 1), C'(3, -2), D'(0, -2)

It can be observed by comparison that x-values have increased by 3 units and y-values have decreased by 2 units

Hence, the rule of translation is the horizontal shift by 3 units right and the vertical shift by 2 units down.

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