NCERT Mathematics Class 9 Exemplar Ch 8 Quadrilaterals Part 2
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7. If bisectors of and of a quadrilateral ABCD intersect each other at P, of and at Q, of and at R and of and at S, then PQRS is a
(A) Rectangle
(B) Rhombus
(C) Parallelogram
(D) Quadrilateral whose opposite angles are supplementary
Answer: D
8. If APB and CQD are two parallel lines, then the bisectors of the angles APQ, BPQ, CQP and PQD form
(A) a square
(B) A rhombus
(C) A rectangle
(D) Any other parallelogram
Answer: C
9. The figure obtained by joining the mid-points of the sides of a rhombus, taken in order, is
(A) A rhombus
(B) A rectangle
(C) A square
(D) Any parallelogram
Answer: B
10. D and E are the mid-points of the sides AB and AC of ∆ABC and O is any point on side BC. O is joined to A. If P and Q are the mid-points of OB and OC respectively, then DEQP is
(A) A square
(B) A rectangle
(C) A rhombus
(D) A parallelogram
Answer: D
11. The figure formed by joining the mid-points of the sides of a quadrilateral ABCD, taken in order, is a square only if,
(A) ABCD is a rhombus
(B) Diagonals of ABCD are equal
(C) Diagonals of ABCD are equal and perpendicular
(D) Diagonals of ABCD are perpendicular.
Answer: C
12. The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O. If and, then ∠ DBC is equal to
(A)
(B)
(C)
(D)
Answer: C
13. Which of the following is not true for a parallelogram?
(A) Opposite sides are equal
(B) Opposite angles are equal
(C) Opposite angles are bisected by the diagonals
(D) Diagonals bisect each other.
Answer: C
14. D and E are the mid-points of the sides AB and AC respectively of ∆ ABC. DE is produced to F. To prove that CF is equal and parallel to DA, we need additional information which is
(A)
(B)
(C)
(D)
Answer: C