8. Coordinate Proofs
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Notice that all vertices are on either the y-axis or on the x-axis.
B
Let's place the vertices in a coordinate plane. Two of the points, (w,0) and (- w,0) are both on the x-axis since their y-coordinates are 0. Also since w and - w are opposite numbers, they will be equally far away from the origin.
The midpoint we are looking for is on the side with (0,- v) and (- w,0) as endpoints. Using the Midpoint Formula, we can find this point.
Substitute ( - w,0) & ( 0,- v)
Remove parentheses
Add and subtract terms
Put minus sign in front of fraction
This corresponds to option B.