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40. if a⊥y and x || y, then ____ a || b. x || z x⊥a. a⊥z

Question

  1. if a⊥y and x || y, then ____ a || b. x || z x⊥a. a⊥z

Explanation:

Step1: Recall parallel - perpendicular relationships

If two lines are parallel and one of them is perpendicular to a third line, then the other parallel line is also perpendicular to the third line. Given \(A\perp Y\) and \(X\parallel Y\), we can apply this property.

Step2: Determine the correct relationship

Since \(X\parallel Y\) and \(A\perp Y\), by the property of parallel and perpendicular lines, \(X\perp A\).

Answer:

C. \(X\perp A\)