Which of the following figures include triangles/parallelograms on the same base and between the same parallel lines?
Which of the following figures include triangles/parallelograms on the same base and between the same parallel lines?
The correct option is C 1,3
The figures are said to be on the same base and between the same parallel lines, if they have a common base (side) and the vertices (or the vertex) opposite to the common base of each figure lie on a line parallel to the base.
In figure 1, QR is the common base, the vertex T of the triangle and the vertices P and S of the parallelogram lie on the line parallel to the common side.
In figure 2, trapezium MNRS and parallelogram PQRS lie on the same base but opposite vertices don’t lie on the same parallel line.
In figure 3, parallelograms MNRS and PQRS lie on the same base and opposite vertices lie on the same opposite parallel line.
In figure 4, triangle QPR and parallelogram ABCD don’t have a common base.
1,3
The figures are said to be on the same base and between the same parallel lines, if they have a common base (side) and the vertices (or the vertex) opposite to the common base of each figure lie on a line parallel to the base.
In figure 1, QR is the common base, the vertex T of the triangle and the vertices P and S of the parallelogram lie on the line parallel to the common side.
In figure 2, trapezium MNRS and parallelogram PQRS lie on the same base but opposite vertices don’t lie on the same parallel line.
In figure 3, parallelograms MNRS and PQRS lie on the same base and opposite vertices lie on the same opposite parallel line.
In figure 4, triangle QPR and parallelogram ABCD don’t have a common base.
