Download App

Triangles MATHS - Triangles

Rajasthan Board (RBSE) - STD 9 - MATHS (Rajasthan - English Medium). 55 questions in this chapter.

Question types

Triangles question types

55 questions across 6 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

55
Questions
6
Question groups
5
Question types
Sample Questions

Triangles questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q1 Mark
In the following, write the correct answer.
In $\triangle\text{ABC}$ and $\triangle\text{PQR},$ if AB = AC, $\angle\text{C}=\angle\text{P}$ and $\angle\text{B}=\angle\text{Q}$ then the two triangles are:
  1. Isosceles but not congruent.
  2. Isosceles and congruent.
  3. Congruent abut not isosceles.
  4. Neither congruent nor isosceles.
View full solution →
Q 2M.C.Q1 Mark
In the following, write the correct answer.
Which of the following is not a criterion for congruence of triangles?
  1. SAS
  2. ASA
  3. SSA
  4. SSS
View full solution →
Q 3M.C.Q1 Mark
In the following, write the correct answer.
In $\triangle\text{ABC}$ and $\triangle\text{DEF},$ if AB = AC, $\angle\text{A}=\angle\text{D}.$ The two triangles are:
  1. BC = EF
  2. AC = DE
  3. AC = EF
  4. BC = DE
View full solution →
Q 4M.C.Q1 Mark
In the following, write the correct answer.
D is point on the side BC of a $\triangle\text{ABC}$ such that AD bisects Then.
  1. BC = CD
  2. BA > BD
  3. BD > BA
  4. CD > CA
View full solution →
Q 5M.C.Q1 Mark
In the following, write the correct answer.
In $\triangle\text{PQR}$ if $\angle\text{R}=\angle\text{P}$ and QR = 4cm and PR = 5cm. Then, the length of PQ is:
  1. 4cm
  2. 5cm
  3. 2cm
  4. 2.5cm
View full solution →
Q 81 Marks Question1 Mark
In $\triangle\text{ABC}$ and $\triangle\text{PQR},\angle\text{A}=\angle\text{Q}$ and $\angle\text{B}=\angle\text{R}.$ Which side of $\triangle\text{PQR}$ should be equal to side AB of $\triangle\text{ABC},$ so that the two triangles are congruent? Give reason for your answer.
View full solution →
Q 112 Marks Questions2 Marks
‘If two sides and an angle of one triangle are equal to two sides and an angle of another triangle, then the two triangles must be congruent’. Is the statement true? Why?
View full solution →
Q 122 Marks Questions2 Marks
In $\triangle\text{PQR},\angle\text{P}=70^{\circ}$ and $\angle\text{R}=30^{\circ}.$ Which side of this triangle is the longest? Give reason for your answer.
View full solution →
Q 132 Marks Questions2 Marks
‘If two angles and a side of one triangle are equal to two angles and a side of another triangle, then the two triangles must be congruent.’ Is the statement true? Why?
View full solution →
Q 163 Marks Question3 Marks
ABC is an isosceles triangle with AB = AC and D is a point on BC such that $\text{AD}\perp\text{BC}$ (see figure). To prove that $\angle\text{BAD} = \angle\text{CAD},$ a student proceeded as follows:In $\triangle\text{ABD}$ and $\triangle\text{ACD},$
$\text{AB}=\text{AC}$
$\angle\text{B}=\angle\text{C}$
$\angle\text{ADM}=\angle\text{ADC}$
$\therefore\triangle\text{ABD}\cong\triangle\text{ADC}$
$\angle\text{BAD}=\angle\text{CAD}$
What is the defect in the above arguments?
View full solution →
Q 173 Marks Question3 Marks
In given $\text{l}\ ||\ \text{m}$ and M is the mid-point of a line segment AB. Show that M is also the mid-point of any line segment CD, having its end points on l and m, respectively.
View full solution →
Q 183 Marks Question3 Marks
In $\triangle\text{PQR},\angle\text{A}=\angle\text{Q}$ and $\angle\text{B}=\angle\text{R}.$ Which side of should be equal to side AB of so, that the two triangles are congruent? Give reason for your answer.
View full solution →
Q 195 Marks Questions5 Marks
Bisectors of the angles B and C of an isosceles $\triangle\text{ABC}$ with AB = AC intersect each other at O. Show that external angle adjacent to $ \angle\text{ABC} $ is equal to $\angle\text{BOC.}$
View full solution →
Q 205 Marks Questions5 Marks
M is a point on side BC of a triangle ABC such that AM is the bisector of $\angle\text{BCA}.$ Is it true to say that perimeter of the triangle is greater than 2AM? Give reason for your answer?
View full solution →
Q 244 Marks Questions4 Marks
In D and E are points on side BC of a $\triangle\text{ABC}$ such that BD = CE and AD = AE. Show that $\triangle\text{ABC}\cong\triangle\text{ACE}.$
View full solution →
Browse all question groups ↑

Generate a Triangles paper free

Pick question groups from the list above, set marks and difficulty, and export a branded PDF with step-by-step answer keys. First 3 chapters free — no signup.

Download App
Generate Paper FreeAll MATHS chapters