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QUESTION IMAGE

$\\overleftrightarrow{wx}$ and $\\overleftrightarrow{yz}$ are shown on …

Question

$\overleftrightarrow{wx}$ and $\overleftrightarrow{yz}$ are shown on the coordinate plane below. draw exactly one point that meets the following conditions. \

  • the point drawn is coplanar with points w, x, y, and z. \
  • the point drawn is collinear with neither $\overleftrightarrow{wx}$ nor $\overleftrightarrow{yz}$.

Explanation:

Step1: Understand Coplanar and Collinear

Coplanar means on the same plane (the coordinate plane here). Collinear means on the same line. We need a point not on \(\overleftrightarrow{WX}\) or \(\overleftrightarrow{YZ}\), but on the coordinate plane.

Step2: Choose a Point

Pick a point like \((0,0)\) (or any point not on the two lines). Check: It's on the coordinate plane (coplanar with \(W,X,Y,Z\)) and not on \(\overleftrightarrow{WX}\) or \(\overleftrightarrow{YZ}\) (so not collinear with either).

Answer:

A valid point (e.g., \((0,0)\)) can be drawn. (Note: The actual drawing would place a point not on the two lines, like \((0,0)\) or other non - line - lying points on the grid.)