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A diagonal of a quadrilateral is a line ...

A diagonal of a quadrilateral is a line segment that joins two ........ vertices of the quadrilateral.

A

Opposite

B

Adjacent

C

Cannot be determined

D

None of the above

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to fill in the blank in the statement: "A diagonal of a quadrilateral is a line segment that joins two __________ vertices of the quadrilateral." ### Step-by-Step Solution: 1. **Understand the Definition of a Diagonal**: A diagonal is a line segment that connects two non-adjacent (or opposite) vertices of a polygon. 2. **Identify the Type of Vertices**: In a quadrilateral, there are four vertices. Each vertex connects to two adjacent vertices (forming the sides of the quadrilateral), and it also connects to one opposite vertex. 3. **Fill in the Blank**: Since a diagonal connects two vertices that are not next to each other, we conclude that the correct term to fill in the blank is "opposite." 4. **Final Statement**: Therefore, the complete statement is: "A diagonal of a quadrilateral is a line segment that joins two opposite vertices of the quadrilateral." ### Final Answer: A diagonal of a quadrilateral is a line segment that joins two **opposite** vertices of the quadrilateral. ---
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