HARD
9th ICSE
IMPORTANT
Earn 100

Prove that each angle of a rectangle is 90°.

Important Questions on Rectilinear Figures

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.
HARD
9th ICSE
IMPORTANT
Understanding ICSE Mathematics Class 9>Chapter 13 - Rectilinear Figures>EXERCISE 13.1>Q 12

ABCD is a rectangle in which diagonal BD bisects ∠B. Show that ABCD is a square.