How many sides does a regular polygon have if the measure of an exterior angle is $24^\circ ?$
- A$6$
- B$9$
- ✓$15$
- D$12$
Answer: C.
View full solution →Question types
Understanding Quadrilaterals question types
360 questions across 6 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
360
Questions
6
Question groups
5
Question types
01
M.C.Q. [1 Marks Each]
204 Q→02Assertion (A) & Reason (B) MCQ
60 Q→032 Marks Questions
43 Q→043 Marks Question
4 Q→051 Marks Question
29 Q→06BLANKS [1 Marks Each]
20 Q→Sample Questions
Understanding Quadrilaterals questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
$PQRS$ 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 →If $AB$ and $CD$ are two parallel sides of a parallelogram, then:
- ✓$AB = CD$
- B$AB > CD$
- C$AB < CD$
- DNone of the above
Answer: A.
View full solution →In the quadrilateral $ABCD,$ the diagonals $AC$ and $BD$ are equal and perpendicular to each other. What type of a quadrilateral is $ABCD?$
- ✓A square
- BA parallelogram
- CA rhombus
- DA trapezium
Answer: A.
View full solution →Tick the correct answer in the following$?$
The measure of each exterior angle of a regular polygon is $40^\circ .$ How many sides does it have$?$
The measure of each exterior angle of a regular polygon is $40^\circ .$ How many sides does it have$?$
- A$8$
- ✓$9$
- C$6$
- D$10$
Answer: B.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The measure of each exterior angle of a regular polygon of $9$ sides is $40.$
Reason (R): Quadrilaterals are composed of two triangles. Seeing as we know the sum of the interior angles of a triangle is $180^\circ ,$ it follows that the sum of the interior angles of a quadrilateral is $360^\circ .$
Assertion (A): The measure of each exterior angle of a regular polygon of $9$ sides is $40.$
Reason (R): Quadrilaterals are composed of two triangles. Seeing as we know the sum of the interior angles of a triangle is $180^\circ ,$ it follows that the sum of the interior angles of a quadrilateral is $360^\circ .$
- ✓Both $A$ and $R$ are true and $R$ is the correct explanation of $A.$
- BBoth $A$ and $R$ are true but $R$ is not the correct explanation of $A.$
- C$A$ is true but $R$ is false.
- D$A$ is false but $R$ is true.
Answer: A.
View full solution →Directions : In the following questions, the Assertions $(A)$ and Reason $(s) \ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A) :$ Two adjacent sides of a rectangle are equal. The name of the quadrilateral is square
Reason $(R) :$ a square is a quadrilateral with four right angles
Assertion $(A) :$ Two adjacent sides of a rectangle are equal. The name of the quadrilateral is square
Reason $(R) :$ a square is a quadrilateral with four right angles
- ABoth $A$ and $R$ are true and $R$ is the correct explanation of $A.$
- ✓Both $A$ and $R$ are true but $R$ is not the correct explanation of $A.$
- C$A$ is true but $R$ is false.
- D$A$ is false but $R$ is true.
Answer: B.
View full solution →Directions : In the following questions, the Assertions $(A)$ and Reason $(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A) :$ All the angles of a rectangle are equal.
Reason $(R) :$ The opposite sides of a rectangle are not equal.
Assertion $(A) :$ All the angles of a rectangle are equal.
Reason $(R) :$ The opposite sides of a rectangle are not equal.
- ABoth $A$ and $R$ are true and $R$ is the correct explanation of $A.$
- BBoth $A$ and $R$ are true but $R$ is not the correct explanation of $A.$
- ✓$A$ is true but $R$ is false.
- D$A$ is false but $R$ is true.
Answer: C.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): Triangle have $1$ diagonal.
Reason (R): A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry
Assertion (A): Triangle have $1$ diagonal.
Reason (R): A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry
- ABoth $A$ and $R$ are true and $R$ is the correct explanation of $A.$
- BBoth $A$ and $R$ are true but $R$ is not the correct explanation of $A.$
- C$A$ is true but $R$ is false.
- ✓$A$ is false but $R$ is true.
Answer: D.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): The measures of each of the four angles of a quadrilateral are equal.
Reason (R): In geometry a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices)
Assertion (A): The measures of each of the four angles of a quadrilateral are equal.
Reason (R): In geometry a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices)
- ✓Both $A$ and $R$ are true and $R$ is the correct explanation of $A.$
- BBoth $A$ and $R$ are true but $R$ is not the correct explanation of $A.$
- C$A$ is true but $R$ is false.
- D$A$ is false but $R$ is true.
Answer: A.
View full solution →$ABC$ is a right-angled triangle and $O$ is the mid point of the side opposite to the right angle. Explain why $O$ is equidistant from $A, B$ and $C. ($The dotted lines are drawn additionally to help you$)$
View full solution →The figure $RUNS$ is a parallelogram. Find $x$ and $y. ($Length is in $cm.)$
View full solution →The given figure $GUNS$ is a parallelogram. Find $x$ and $y ($Lengths are in $cm).$
View full solution →Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram.
The measure of two adjacent angles of a parallelogram are in the ratio $3 : 2.$ Find the measure of each of the angles of the parallelogram.
View full solution →In the below figure both $RISK$ and $CLUE$ are parallelograms. Find the values of $x.$
View full solution →The adjacent figure $HOPE$ is a parallelogram. Find the angle measures $x, y$ and $z.$ State the properties you use to find them.
View full solution →Find the measure of $\angle P$ and $\angle S$. If $\overline {SP} \parallel \overline {RQ} $ in the figure. $($If you find $m\angle R$, is there more than one method to find $m\angle P ?)$
View full solution →What is the sum of the measures of the angles of a convex quadrilateral? Will this property hold if the quadrilateral is not convex?
(Make a non-convex quadrilateral and try!)
(Make a non-convex quadrilateral and try!)
Explain why a rectangle is a convex quadrilateral.
Name the quadrilaterals whose diagonals are equal.
Name the quadrilaterals whose diagonals are perpendicular bisector of each other.
Name the quadrilaterals whose diagonals bisect each other.
Explain how a square is a rectangle.
A parallelogram whose diagonals are perpendicular bisectors of each another is a............(parallelogram, rectangle, rhombus)
The.............angles of a parallelogram are equal. (adjacent, opposite, all)
A rectangle is............(regular polygon, equtangular, equilateral)
A parallelogram which has all its angles right angles, is called a............(square, rectangle, kite)
Two adjacent angles of a parallelogram are...........angles. (complementary, supplementary, right)
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