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XYZ will be translated so that the coordinates of X, are (5,11) . What will the coordinates of Z,?

User Anaxin
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1 Answer

11 votes

Answer:

Z'(6, 7)

Explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

Translation is the movement of a point up, down, right and left. If a point A(x, y) is translated a units right and b units up, the new point would ne at A'(x + a, y + b). Also, If a point A(x, y) is translated a units left and b units down, the new point would ne at A'(x - a, y - b).

Given that the coordinates of triangle XYZ is at X(7, 11), Y(10, 14) and Z(8, 7).

XYZ will be translated so that the coordinates of X, are (5,11), therefore a translation of 2 units left is done (x - 2, y). The new coordinates are:

X'(5, 11), Y'(8, 14) and Z'(6, 7)

User Jcchuks
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