An angle of $75^\circ $ is drawn using a pair of compass and ruler by bisecting ___.
- A$60^\circ $
- ✓$60^\circ $ and $90^\circ $
- C$0^\circ $ and $90^\circ $
- D$120^\circ $ and $180^\circ $
Answer: B.
View full solution →Question types
Practical Geometry question types
383 questions across 6 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
383
Questions
6
Question groups
5
Question types
01
M.C.Q. [1 Marks Each]
167 Q→02Assertion (A) & Reason (B) MCQ
25 Q→031 Marks Question
5 Q→042 Marks Questions
20 Q→053 Marks Question
38 Q→065 Marks Questions
128 Q→Sample Questions
Practical Geometry questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Lines $a, b, p, q, m, n$ and $x$ have $a$ point $P$ common to all of them. What is the name of $P?$
- ✓Point of concurrence
- BPoint of intersection
- CCommon point
- DDistinct point
Answer: A.
View full solution →Rohan thinks he knows how to bisect angles and follows following steps to construct $45^\circ $ angle.
Step $1$: Construct an angle of $90^\circ $
Step $2$: Bisect the $90^\circ $ angle.
Step $3$: Bisect one of the angles obtained in step $2$.
Step $2$: Bisect the $90^\circ $ angle.
Step $3$: Bisect one of the angles obtained in step $2$.
- AStep $1$
- BStep $2$
- ✓Step $3$
- DStep $2$ and $3$
Answer: C.
View full solution →If $O$ is a point on the circle and $P$ is a point in the exterior of the circle. Length of $\overline{\text{OP}}=7.5$cm and radius of the circle is $5.5\ cm$. What will be the length of $\overline{\text{OP}},$ if $Q$ is the centre?
- A$5.5\ cm$
- ✓$3\ cm$
- C$7.5\ cm$
- D$13.5\ cm$
Answer: B.
View full solution →Identify the condition when a triangle can be constructed?
- ✓One side and two acute angles are given.
- BA side and an acute angle are given.
- CTwo obtuse angles are given.
- DAll given sides are equal.
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): The opposite angles of a parallelogram are equal.
Reason (R): The opposite sides of a parallelogram are equal.
Assertion (A): The opposite angles of a parallelogram are equal.
Reason (R): The opposite sides of a parallelogram are equal.
- ✓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): Decagon have $6$ sides.
Reason (R): a decagon is a ten-sided polygon or $10-$gon.
Assertion (A): Decagon have $6$ sides.
Reason (R): a decagon is a ten-sided polygon or $10-$gon.
- 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 number of sides in a regular polygon is $15,$ then measure of each exterior angle is $24^\circ.$
Reason (R): The sum of all the exterior angles of a quadrilateral is $360^\circ .$
Assertion (A): The number of sides in a regular polygon is $15,$ then measure of each exterior angle is $24^\circ.$
Reason (R): The sum of all the exterior 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): 360`is the sum of the measures of angles of a convex quadrilaterals
Reason (R): We can divide any quadrilateral into two triangles
Assertion (A): 360`is the sum of the measures of angles of a convex quadrilaterals
Reason (R): We can divide any quadrilateral into two triangles
- ✓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): Minimum possible interior angle in a regular polygon is $90^\circ.$
Reason (R): The formula for calculating the sum of interior angles is $( n - 2 ) \times 180^\circ$ where is the number of sides
Assertion (A): Minimum possible interior angle in a regular polygon is $90^\circ.$
Reason (R): The formula for calculating the sum of interior angles is $( n - 2 ) \times 180^\circ$ where is the number of sides
- 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 →Draw a line segment of length $7.3 \ cm$ using a ruler.
View full solution →Let $A, B$ be the centres of two circles of equal radii, draw them so that each one of them passes through the centre of the other. Let them intersect at $C$ and $D.$ Examine whether $\overline {AB}$ and $\overline {CD}$ are at right angles.
View full solution →Draw any circle and mark point $C$ such that: $C$ is the exterior of the circle.
View full solution →Draw any circle and mark point $B$ such that: $B$ is the interior of the circle.
View full solution →Draw any circle and mark a point $A$ such that: $A$ is on the circle.
View full solution →In Fig.,
$a.\ $What is $AE + EC?$
$b.\ $What is $AC - EC?$
$c.\ $What is $BD - BE?$
$d.\ $What is $BD - DE?$
View full solution →$a.\ $What is $AE + EC?$
$b.\ $What is $AC - EC?$
$c.\ $What is $BD - BE?$
$d.\ $What is $BD - DE?$
State the mid points of all the sides of Fig.
In Fig.,
$a.\ $Is $AC + CB = AB?$
$b.\ $Is $AB + AC = CB?$
$c.\ $Is $ AB + BC = CA?$
View full solution →$a.\ $Is $AC + CB = AB?$
$b.\ $Is $AB + AC = CB?$
$c.\ $Is $ AB + BC = CA?$
Look at Fig. Mark a point:
$1.A$ which is in the interior of both $\angle1$ and $\angle2$
$2.B$ which is in the interior of only $\angle1$
$3.$oint $C$ in the interior of $\angle1.$
Now, state whether points $B$ and $C$ lie in the interior of $\angle2$ also.
View full solution →$1.A$ which is in the interior of both $\angle1$ and $\angle2$
$2.B$ which is in the interior of only $\angle1$
$3.$oint $C$ in the interior of $\angle1.$
Now, state whether points $B$ and $C$ lie in the interior of $\angle2$ also.
How many lines can be drawn which are perpendicular to a given line and pass through a given point lying outside it?
Draw the perpendicular bisector of $\overline{X Y}$ whose length is $10.3 \ cm.$
$a.\ $Take any point $P$ on the bisector drawn. Examine whether $PX = PY.$
$b.\ $If $M$ is the midpoint of $\overline{X Y}$, what can you say about the lengths $MX$ and $XY$?
View full solution →$a.\ $Take any point $P$ on the bisector drawn. Examine whether $PX = PY.$
$b.\ $If $M$ is the midpoint of $\overline{X Y}$, what can you say about the lengths $MX$ and $XY$?
Draw a line segment of length $9.5\ cm$ and construct its perpendicular bisector.
View full solution →Draw $\overline {AB} $ of length $7.3 \ cm$ and find its axis of symmetry.
View full solution →Given some line segment $\overline{AB}$, whose length you do not know, construct $\overline{PQ}$ such that the length of $\overline{PQ}$ is twice that of $\overline{AB}$ .
View full solution →Draw any line segment $\overline{\mathrm{PQ}}$. Without measuring $\overline{\mathrm{PQ}}$, construct a copy of $\overline{\mathrm{PQ}}$.
View full solution →Draw an angle of $40^\circ$. Copy its supplementary angle.
View full solution →Draw an angle of $70^\circ$. Make a copy of it using only a straight edge and compasses.
View full solution →Draw an angle of measure $135^\circ $ and bisect it.
View full solution →Draw an angle of measure $45^\circ $ and bisect it.
View full solution →Construct with ruler and compass, angle of measure $135^\circ .$
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