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1. if a ⊥ b and b ∥ c, then ____ b ⊥ c a ∥ c a ⊥ c a ∥ b

Question

  1. if a ⊥ b and b ∥ c, then ____ b ⊥ c a ∥ c a ⊥ c a ∥ b

Explanation:

Step1: Recall geometric parallel - perpendicular rules

In a plane, if a line $a\perp b$ and $b\parallel c$, then by the property that if a line is perpendicular to one of two parallel lines, it is perpendicular to the other.

Step2: Determine the relationship between $a$ and $c$

Since $a\perp b$ and $b\parallel c$, we can conclude that $a\perp c$.

Answer:

a ⊥ c