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balu736 [363]
2 years ago
12

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

Mathematics
1 answer:
Brilliant_brown [7]2 years ago
7 0

Answer:

Z'(6, 7)

Step-by-step 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)

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