HARD
9th ICSE
IMPORTANT
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In the figure given below, ABCD is a kite and diagonals intersect at O. If ∠DAB=112° and ∠DCB=64°, find ∠ODC and ∠OBA.

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Important Questions on Rectilinear Figures

HARD
9th ICSE
IMPORTANT
Understanding ICSE Mathematics Class 9>Chapter 13 - Rectilinear Figures>EXERCISE 13.1>Q 9
Prove that each angle of a rectangle is 90°.
MEDIUM
9th ICSE
IMPORTANT
Understanding ICSE Mathematics Class 9>Chapter 13 - Rectilinear Figures>EXERCISE 13.1>Q 9
The angles of a quadrilateral are equal. Prove that the quadrilateral is a rectangle.
MEDIUM
9th ICSE
IMPORTANT
Understanding ICSE Mathematics Class 9>Chapter 13 - Rectilinear Figures>EXERCISE 13.1>Q 9

Prove that if diagonals of a rhombus are equal then it is a square.

EASY
9th ICSE
IMPORTANT
Understanding ICSE Mathematics Class 9>Chapter 13 - Rectilinear Figures>EXERCISE 13.1>Q 9
Prove that the diagonals of a rhombus bisect the angles at its vertices.
HARD
9th ICSE
IMPORTANT
Understanding ICSE Mathematics Class 9>Chapter 13 - Rectilinear Figures>EXERCISE 13.1>Q 10
ABCD is a parallelogram. If the diagonal AC bisects ∠A, then prove that AC bisects ∠C, ABCD is a rhombus and AC⊥BD.
MEDIUM
9th ICSE
IMPORTANT
Understanding ICSE Mathematics Class 9>Chapter 13 - Rectilinear Figures>EXERCISE 13.1>Q 11

Prove that the bisectors of any two adjacent angles of a parallelogram are at right angles.

HARD
9th ICSE
IMPORTANT
Understanding ICSE Mathematics Class 9>Chapter 13 - Rectilinear Figures>EXERCISE 13.1>Q 11
Prove that the bisectors of opposite angles of a parallelogram are parallel.
MEDIUM
9th ICSE
IMPORTANT
Understanding ICSE Mathematics Class 9>Chapter 13 - Rectilinear Figures>EXERCISE 13.1>Q 11
If the diagonals of a quadrilateral are equal and bisect each other at right angles, show that it is a square.