Write 'T' for true and 'F' for false.
Each acute angle of an isosceles right triangle measures 60°.
Each acute angle of an isosceles right triangle measures 60°.
Question types
Constructions question types
78 questions across 6 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
78
Questions
6
Question groups
5
Question types
01
1 Mark Question
9 Q→022 Mark Question
3 Q→033 Mark Question
4 Q→045 Mark Question
10 Q→05MCQ
44 Q→064 Mark Question
8 Q→Sample Questions
Constructions questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
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Fill in the blanks.
In $\triangle ABC$, if $\angle A =90^{\circ}$, then $BC ^2$ = (___) + (___).
View full solution →In $\triangle ABC$, if $\angle A =90^{\circ}$, then $BC ^2$ = (___) + (___).
Write 'T' for true and 'F' for false.
If two lines intersect each other, then the vertically opposite angles are equal.
If two lines intersect each other, then the vertically opposite angles are equal.
Fill in the blanks.
In the given figure, side BC of $\triangle\text{ABC}$ is produced to D and $\text{CE}||\text{BA.}$ If $\angle\text{BAC}=50^\circ$ then $\angle\text{ACE}=\text{_____.}$
View full solution →In the given figure, side BC of $\triangle\text{ABC}$ is produced to D and $\text{CE}||\text{BA.}$ If $\angle\text{BAC}=50^\circ$ then $\angle\text{ACE}=\text{_____.}$
Write 'T' for true and 'F' for false.
If two parallel lines are cut by a transversal, then the alternate interior angles are equal.
If two parallel lines are cut by a transversal, then the alternate interior angles are equal.
In a $\triangle\text{ABC},$ If $\angle\text{A}=65^\circ,\angle\text{B}=45^\circ,$ find $\angle\text{C}.$
View full solution →In the given figure, $\text{CE}||\text{BA}.$ If $\angle\text{BAC}=70^\circ$ and $\angle\text{ECD}=50^\circ,$ find $\angle\text{ACB}.$
View full solution →In the given figure, two straight lines AB and CD intersect at a point O such that $\angle\text{AOC}=50^\circ.$ Find:
View full solution →- $\angle\text{BOD}$
- $\angle\text{BOC}$
In the given figure, AOB is a straight line and OC is ray such that $\angle\text{AOC}=(3\text{x}+20)^\circ$ and $\angle\text{BOC}=(2\text{x}-10)^\circ.$ Find the value of x and hence find (i) $\angle\text{AOC}$ and $\angle\text{BOC.}$
View full solution →Two legs of a right triangle are 8cm and 15cm long. Find the length of the hypotenuse of the triangle.
In the given figure, x : y = 2 : 3 and $\angle\text{ACD}=120^\circ.$ Find the values of x,y and z.
View full solution →In the given figure, $\text{AB}||\text{CD},\angle\text{ABO}=60^\circ$ and $\angle\text{CDO}=40^\circ.$ Then, find $\angle\text{BOD}.$
View full solution →Construct a $\triangle\text{ABC}$ in which AB = AC = 4.8cm and BC = 5.3cm. Measure $\angle\text{B}$ and $\angle\text{C}$. Draw $\text{AD}\bot\text{BC}$.
View full solution →Construct a $\triangle\text{ABC}$ in which BC = 3.6cm, AB = 5cm and AC = 5.4cm. Draw the perpendicular bisector of the side BC.
View full solution →Draw a line AB and take a point P outside it. Draw a line CD parallel to AB and passing through the point P.
Construct a $\triangle\text{PQR}$ in which QR = 6cm, PQ = 4.4cm and PR = 5.3cm. Draw the bisector of $\angle\text{P.}$
View full solution →Draw a line l and draw another line m parallel to l at a distance of 4.3cm from it.
Mark $(\checkmark)$ against the correct answer.The sum of all angles of a triangle is:
- A$90^\circ$
- B$100^\circ$
- C$150^\circ$
- ✓$180^\circ$
Answer: D.
View full solution →Mark $(\checkmark)$ against the correct answer.In the given figure, it is given that $\text{AOB}$ is a straight line and $4x = 5y$. What is the value of $x?$
- ✓$100$
- B$105$
- C$110$
- D$115$
Answer: A.
View full solution →Mark $(\checkmark)$ against the correct answer.The sum of all angles of a quadrilateral is:
- A$180^\circ$
- B$270^\circ$
- ✓$360^\circ$
- D$480^\circ$
Answer: C.
View full solution →Mark $(\checkmark)$ against the correct answer.In the given figure, $\text{AB}\parallel\text{CD,}\angle\text{OAB}=150^\circ$ and $\angle\text{OCD}=120^\circ.$ The $\angle\text{AOC}={}?$
- A$80^\circ$
- ✓$90^\circ$
- C$70^\circ$
- D$100^\circ$
Answer: B.
View full solution →Mark $(\checkmark)$ against the correct answer.The angle of a triangle are $(3x)^\circ , (2x - 7)^\circ$ and $(4x - 11)^\circ .$ Then, $x =?$
- A$18$
- B$20$
- ✓$22$
- D$30$
Answer: C.
View full solution →Construct a right triangle having hypotenuse of length 5.6cm and one of whose acute angles measures 30°.
Construct a $\triangle\text{ABC}$ in which BC = 6.2cm,$\angle\text{B}=60^\circ.$ and $\angle\text{C}=45^\circ.$
View full solution →Construct a $\triangle\text{ABC}$ in which BC = 4.8cm,$\angle\text{C}=90^\circ.$and AB = 6.3cm.
View full solution →Construct an equilateral triangle each of whose sides measures 6.2cm. Measure each of its angles.
Construct a right-angled triangle one side of which measures 3.5cm and the length of whose hypotenuse is 6cm.
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