Construction of a Quadrilateral When Three Sides and Two Included Angles Are Given
According to ...
Question
According to the construction shown in the diagram below, what do we call segment ¯¯¯¯¯¯¯¯¯CD?
A
bisector of ∠C
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B
median to side ¯¯¯¯¯¯¯¯AB
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C
perpendicular bisector of segment ¯¯¯¯¯¯¯¯AB
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D
altitude to side ¯¯¯¯¯¯¯¯AB
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Solution
The correct option is D altitude to side ¯¯¯¯¯¯¯¯AB A perpendicular bisector passes through the midpoint of a side and at right-angles to that side.An altitude passes through a vertex and is at right-angles to the opposite side. A median joins a vertex to the midpoint of the opposite side. Hence, here the segment ¯¯¯¯¯¯¯¯¯CD is altitude to side ¯¯¯¯¯¯¯¯AB.