If A(-2, -1), B(a, 0), C(4, b) and D(1, 2) are the vertices of a parallelogram, find the values of a and b.
Question
Solution 1
In a parallelogram, opposite sides are equal. Therefore, we can set the distances of AB equal to DC and AD equal to BC.
- AB = DC
The distance between two points (x1, y1) and (x2, y2) in a plane is given by √[(x2-x1)² + (y2-y1)²].
So, AB = √[(a-(-2))² + (0-(-1))²] = √[( Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI StudyGP
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