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The figure shows parallelogram PQRS on a coordinate plane. Diagonals SQ and PR intersect at point T. P(2b, 2c) Q(?, ?) T S(0, 0) R(2a, 0) Part A Find the coordinates of point Q in terms of a, b, and c. ​

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MrRoyal

The coordinates of point Q is the location of point Q in the parallelogram

The coordinates of point Q is (2b + 2a,2c)

How to determine the coordinates of Q?

The coordinates are given as:

P(2b, 2c) Q(?, ?)  S(0, 0) R(2a, 0)

Since the shape is a parallelogram; it means that the distance PQ is the same as the distance RS.

The distance RS is calculated as:

RS = (2a - 0, 0 - 0)

This gives

RS = (2a, 0)

The coordinates of  Q is then calculated using:

Q = P + RS

This gives

Q = (2b,2c) + (2a,0)

Evaluate the sum

Q = (2b + 2a,2c)

Hence, the coordinates of point Q is (2b + 2a,2c)

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