Download App

Quadrilaterals — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsQuadrilaterals1 Mark
MCQ
Three statements are given below:
  1. In a rectangle ABCD, the diagonal AC bisects $\angle\text{A}$ as well as $\angle\text{C}.$
  2. In a square ABCD, the diagonal AC bisects $\angle\text{A}$ as well as $\angle\text{C}.$
  3. In a rhombus ABCD, the diagonal AC bisects $\angle\text{A}$ as well as $\angle\text{C}.$
Which is true?
  • A
    I only
  • B
    II and III
  • C
    I and III
  • D
    I and II
✓

Answer

  1. II and III
    Solution:

    Consider I.
    We know that, in a rectangle the diagonals are not bisectors of each other, since the adjacent side.
    Thus, I is false.

    Consider II.
    We know that, in a square the diagonals bisect the opposite angles.
    So, in a square ABCD, the diagonals AC bisects $\angle\text{A}$ as well as $\angle\text{C}.$
    Thus, II is true.

    Consider III.
    We know that, in a rhombus the diagonals bisect the opposite angles.
    So, in a rhombus ABCD, the diagonals AC bisects $\angle\text{A}$ as well as $\angle\text{C}.$
    Thus, III is true.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q" from Quadrilaterals→Quadrilaterals — all question types→Maths STD 9 question papers→Gujarat Board STD 9 question papers→Gujarat Board question paper generator→

Similar questions

The greatest chord of a circle is called its
→
The length, width and height of a rectangular solid are in the ratio of 3 : 2 : 1. If the volume of the box is 48cm3, the total surface area of the box is:
  1. 27cm2
  2. 32cm3
  3. 44cm3
  4. 88cm3
→
The zero of the polynomial (x - 2)2 - (x + 2)2 is:
→
In the given figure AB || CD and CD || EF. If y : z = 3 : 7 then x = ?
  1. 108º
  2. 126º
  3. 162º
  4. 63º

→
If x2 - 1 is a factor of ax4 +bx 3 + cx2 + dx + e, then.
→
The simplest rationalisation factor of $\sqrt[3]{500}$ is:
  1. $\sqrt{5}$
  2. $\sqrt{3}$
  3. $\sqrt[3]{5}$
  4. $\sqrt[3]{2}$
→
In Fig. sides AB and AD of quadrilateral ABCD are produced to E and F respectively. If $\angle C B E=100^{\circ}$, then $\angle C D F=$
Image
→
The three steps from solids to points are:
→
The radius of a wire is decreased to one third. If volume remains the same, the length will become:
→
The angles of a triangle are in the ratio 2 : 3 : 4. The largest angle of the triangle is:
  1. 120º
  2. 100º
  3. 80º
  4. 60º
→