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8. what are the coordinates of w? parallelogram (c + a,0) (b,0) (0,a) (…

Question

  1. what are the coordinates of w? parallelogram (c + a,0) (b,0) (0,a) (0,b)

Explanation:

Step1: Recall property of parallelogram

In a parallelogram, opposite sides are parallel and equal. The vertical - distance between two parallel sides is the same. The $y$ - coordinate of the point $(c - a,b)$ and point $W$ is the same because they are on the same horizontal line. So the $y$ - coordinate of $W$ is $b$.

Step2: Analyze horizontal position

The horizontal displacement from the right - hand vertex $(c,0)$ to the vertex $(c - a,b)$ in the $x$ - direction is $-a$. Starting from the origin $(0,0)$ and using the same horizontal displacement for the left - hand side (since opposite sides are parallel and equal in a parallelogram), the $x$ - coordinate of $W$ is $0$.

Answer:

$(0,b)$