QUESTION IMAGE
Question
- if a ⊥ b and b ∥ c, then ____ b ⊥ c a ∥ c a ⊥ c a ∥ b
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 $a\perp c$.
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a ⊥ c