Question

c. The diagonal has the equation . Find the point of intersection of the two diagonals and .

Ask by Park Bird. in New Zealand
Jan 19,2025

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Answer

To find the point where diagonals and intersect, we need the equation of diagonal . Since only the equation for is provided, more information about points and is needed to determine the intersection point.

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Beyond the Answer

To find the point of intersection of the diagonals and , we first need the equation of the diagonal . However, we can’t proceed without knowing the points , , , and .
Suppose we have the coordinates of points and already from the diagonal , which has the equation . Let’s denote the coordinates of points as and as .
  1. If we know point (let’s say is at ) and since lies on the line , we can substitute for coordinates of and get .
  2. Now, for point and point , you would need to find the equation of diagonal . The process would be similar: define both points, and then find the linear equation formulated by those points.
Given you manage to find the equation for diagonal , you can set the equations of both diagonals equal to find the intersection point.
In general form, if your lines are (for diagonal ) and (for diagonal ), solve:
Rearranging leads to:
Then plug back into either equation to find the corresponding .
Without specific coordinates, that’s the best we can conclude on how you’d find the intersection point of the diagonals and . If you can provide the coordinates, we could nail this down together!

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