Complete the following, so as to make a true statement: A diagonal of a quadrilateral is a line segment that joins two ...... vertices of the quadrilateral.
Answer
A diagonal of a quadrilateral is a line segment that joins two opposite vertices of the quadrilateral.
Complete the following, so as to make a true statement: A point is in the interior of a convex quadrilateral, if it is in the ..... of its two opposite angles.
Answer
A point is in the interior of a convex quadrilateral, if it is in the interiors of its two opposite angles.
Complete the following, so as to make a true statement: A quadrilateral is convex if for each side, the remaining .......... lie on the same side of the line containing the side.
Answer
A quadrilateral is convex if for each side, the remaining vertices lie on the same side of the line containing the side.
AnglesA quadrilateral has four angles which are at their vertices. In the figure, $\angle\text{A}$, $\angle\text{B}$, $\angle\text{C}$, and $\angle\text{D}$ are its angles.
Complete the following, so as to make a true statement: In a quadrilateral the point of intersection of the diagonals lies in ........ of the quadrilateral.
Answer
In a quadrilateral the point of intersection of the diagonals lies in the interior of the quadrilateral.