$\text{PQRS}$ is a trapezium in which $PQ \| SR$ and $\angle\text{P}=130^\circ , \angle\text{Q}=110^\circ .$ Then $\angle\text{R}$ is equal to:
- ✓$70^\circ$
- B$50^\circ$
- C$65^\circ$
- D$55^\circ$
Answer: A.
View full solution →Question types
Understanding Quadrilaterals and Practical Geometry question types
202 questions across 5 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
202
Questions
5
Question groups
5
Question types
01
M.C.Q. [1 Marks Each]
51 Q→022 Marks Questions
14 Q→033 Marks Question
35 Q→045 Marks Questions
20 Q→051 Marks Question
82 Q→Sample Questions
Understanding Quadrilaterals and Practical Geometry questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
The number of sides of a regular polygon whose each interior angle is of $135^\circ $ is:
- A$6$
- B$7$
- ✓$8$
- D$9$
Answer: C.
View full solution →How many non-overlapping triangles can we make in a n-gon (polygon having n sides), by joining the vertices?
- A$n - 1$
- ✓$n - 2$
- C$n - 3$
- D$n - 4$
Answer: B.
View full solution →Length of one of the diagonals of a rectangle whose sides are $10 \ cm$ and $24\ cm$ is.
- A$25\ cm$
- B$20\ cm$
- ✓$26\ cm$
- D$3.5\ cm$
Answer: C.
View full solution →A quadrialateral whose opposite sides and all the angles are equal is a.
- ✓rectangle
- Bparallelogram
- Csquare
- Drhombus
Answer: A.
View full solution → Diagonals of a quadrilateral are perpendicular to each other. Is such a quadrilateral always a rhombus? Give a figure to justify your answer.
The ratio between exterior angle and interior angle of a regular polygon is $1 : 5$. Find the number of sides of the polygon.
View full solution →In the figure, find the value of $x$.
View full solution →Both the pairs of opposite angles of a quadrilateral are equal and supplementary. Find the measure of each angle.
Two sticks each of length $7\ cm$ are crossing each other such that they bisect each other at right angles. What shape is formed by joining their end points? Give reason.
View full solution →In trapezium $HARE, EP$ and $RP$ are bisectors of $\angle\text{E}\ \text{and}\ \angle\text{R}$ respectively. Find $\angle\text{HAR}\ \text{and}\ \angle\text{EHA.}$
View full solution →Find the measure of each angle of a regular octagon.
Is it possible to construct a quadrilateral $A B C D$ in which $A B=3 cm, B C=4 cm, C D=5.4 cm, D A=5.9 cm$ and diagonal $A C=8 cm$ ? If not, why?
View full solution → $A B C D$ is a parallelogram. The bisector of angle $A$ intersects $C D$ at $X$ and bisector of angle $C$ intersects $A B$ at $Y$. Is $A X C Y$ a parallelogram? Give reason.
View full solution →The diagonals of a rhombus are $8\ cm$ and $15\ cm$. Find its side.
View full solution →Construct a square in which each diagonal is $5\ cm$ long.
View full solution →Construct a trapezium $\text{ABCD}$ where $\ce{AB \| CD, AD = BC = 3.2\ cm, AB = 6.4\ cm}$ and $\ce{CD = 9.6\ cm}$.
Measure $\angle\text{B}\ \text{and}\ \angle\text{A}.$
$[$Hint: Difference of two parallel sides gives an equilateral triangle.$]$
View full solution →Measure $\angle\text{B}\ \text{and}\ \angle\text{A}.$
$[$Hint: Difference of two parallel sides gives an equilateral triangle.$]$
Draw a circle of radius $3\ cm$ and draw its diameter and label it as $\text{AC}$. Construct its perpendicular bisector and let it intersect the circle at $B$ and $D$. What type of quadrilateral is $\text{ABCD}$? Justify your answer.
View full solution →Construct a rhombus whose side is $5\ cm$ and one angle is of $60^\circ $.
View full solution →Construct a square of side $4\ cm$.
View full solution →Every rectangle is a trapezium.
Three angles of a quadrilateral are equal. Fourth angle is of measure $120^\circ .$ What is the measure of equal angles$?$
View full solution →Adjacent angles of a parallelogram are _____.
Diagonals of a rhombus are equal and perpendicular to each other.
If all sides of a quadrilateral are equal, it is a _____.
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