Question

△XYZ is translated up 3 units to form the image ∆X′Y′Z′.

What are the coordinates of the vertices of ∆X′Y′Z′ ?

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Answer 1

The coordinates of the vertices of ∆X′Y′Z′:

• X'(-4, 9)

• Y'(1, 9)

• Z'(1, 4)

Explanation:

Given the triangle △XYZ with the vertices

• X(-4, 6)

• Y(1, 6)

• Z(1, 1)

It is stated that △XYZ is translated up 3 units to form the image ∆X′Y′Z′.

Translating 3 units UP means we have to add 3 units to all the y-coordinates of the coordinates of the vertices X, Y, and Z to generate the image ∆X′Y′Z′.

Thus,

THE RULE OF TRANSLATING 3 UNITS UP:

P(x, y) → P'(x, y+3)

Therefore, the coordinates of the vertices of ∆X′Y′Z′ will be:

X(-4, 6) → X'(-4, 6+3) → X'(-4, 9)

Y(1, 6) → Y'(1, 6+3) → Y'(1, 9)

Z(1, 1) → Z'(1, 1+3) → Z'(1, 4)

Thus, the coordinates of the vertices of ∆X′Y′Z′:

• X'(-4, 9)

• Y'(1, 9)

• Z'(1, 4)