Question

Triangle XYZ is drawn with vertices X(1, 2), Y(2, 5), Z(3, 4). Determine the translation direction and number of units if Z′(9, 4).

6 units down
6 units up
6 units to the right
6 units to the left

Answer 1

(c) 6 units to the right

Explanation:

You want to know the translation amount and direction that moves ∆XYZ to ∆X'Y'Z', where Z=(3, 4) and Z'=(9, 4).

Translation

The translation vector can be found from the difference ...

Z' -Z = (9, 4) -(3, 4) = (6, 0)

The translation is 6 units right and 0 units up or down.

The direction and number of units is ...

6 units to the right, choice C.

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