SOMEBODY PLEASE HELP ME

Third diagram from the left.

Step-by-step explanation:

In geometry, translation of an object means all the points in the object are moved in a straight line, in the same direction.

In other words, translation moves point(s) up, down, left, or right, but no rotating or resizing occurs.

This problem asks us to find a translation of the trapezoid. That means we are looking for the same shape in the same orientation, except in a different position. We can eliminate the first and second answer because that has flipped the trapezoid (horizontally), and we can eliminate the fourth answer because that has flipped the trapezoid (vertically).

That leaves us with the third answer choice, which has the same orientation, shape, and size as the original object, except it is in a different position.

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step-by-step explanation:

let pq = qr = rs = x, and xz = y and zu = z.

if the horizontal lines are parallel, then corresponding segments are in proportion:

substitute:

therefore 3 = y = z.

xu = y + z → xu = 3 + 3 = 6