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?

it is c

Answer 1

3 units right, 2 units down

(x, y) = (x + 3, y - 2)

Explanation:

another way is by graphing. (see attached)

the translation is:

3 units right, 2 units down.

or (x, y) = (x + 3, y - 2)

Answer 2

• Horizontal shift by 3 units right and vertical shift by 2 units down or
• (x, y) → (x + 3, y -2)

Explanation:

Given

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

So the rule of translation is:

• Horizontal shift by 3 units right and vertical shift by 2 units down
• (x, y) → (x + 3, y -2)