CBSE Questions for Class 9 Maths Triangles Quiz 9 - MCQExams.com

In $$\Delta ABC$$ and $$\Delta DEF$$, $$AB=FD$$, $$\angle A= \angle D$$. The two triangles will be congruent by SAS axiom if :
  • $$BC=DE$$
  • $$AC=EF$$
  • $$BC=EF$$
  • $$AC=DE$$
In $$\Delta ABC$$, if $$\angle A = 35^{\circ}$$ and $$\angle B = 65^{\circ}$$, then the longest side of the triangle is :
  • AC
  • AB
  • BC
  • None of these
In the given figure, If OA=OB,OD=OC, then $$\Delta AOD \cong \Delta BOC$$ by congruence rule:

87720_3f69271d5d13425f9e48040978676e71.png
  • SSS
  • ASA
  • SAS
  • RHS
In $$\triangle ABC$$, if $$AB >BC$$ then:
  • $$\angle C < \angle A$$
  • $$\angle C = \angle A$$
  • $$\angle C > \angle A$$
  • $$\angle A = \angle B$$
In $$\Delta ABC, AB = 76$$ cm, $$BC=69$$ cm and $$CA=61$$ cm
the greatest angle ?
  • $$\angle C$$
  • $$\angle A$$
  • $$\angle B$$
  • All are equal
In the given figure, if $$AB=DC$$, $$\angle ABD= \angle CDB$$, which congruence rule would you apply to prove $$\Delta ABD$$ $$\cong \Delta CDB$$ ?
86849_c6c45dd2a7b6431ca525ca81561d0188.png
  • SAS
  • ASA
  • RHS
  • SSS
Two sides of a triangle are of lengths 5 cm and 1.5 cm, then the length of the third side of the triangle cannot be
  • $$\displaystyle3.6\,cm$$
  • $$\displaystyle4.1\, cm$$
  • $$\displaystyle3.8\, cm$$
  • $$\displaystyle3.4\, cm$$

By which congruency are the following pairs of triangles congruent:

In $$\Delta\,ABC$$ and $$\Delta PQR$$, $$AB=PQ$$, $$BC=QR$$ and $$AC=PR$$
  •  $$ASA$$
  •  $$SSS$$
  •  $$AAA$$
  • $$ASS$$
For any triangle $$ABC$$, the true statement is
  • $${ AC }^{ 2 }={ AB }^{ 2 }+{ BC }^{ 2 }$$
  • $$AC=AB+BC$$
  • $$AC>AB+BC$$
  • $$AC<\,AB+BC$$

State true/false:

If in $$\Delta\, ABC$$ and $$\Delta \,DEF$$, AB = DE, BC = DE, BC = EF and $$\angle\,B\,=\, \angle\,E$$, then both the triangles are congruent.
  • True
  • False
In a triangle $$ABC$$ and $$DEF$$, $$AB=FD$$ and $$\angle A=\angle D$$. The two triangles will be congruent by SAS axiom if:
242665.png
  • $$BC=EF$$
  • $$AC=DE$$
  • $$AC=EF$$
  • $$BC=DE$$
State true or false:
If two sides and an angle of a triangle are respectively equal to two sides and an angle of another triangle,then the two triangles are always congruent. 
  • True
  • False
Angles opposite to the equal sides of a triangle are equal. 
  • True
  • False
  • Incomplete information
  • None
In triangles $$ABC$$ and $$PQR$$, $$AB=AC$$, $$\angle C=\angle P$$ and $$\angle B=\angle Q$$. Then the two triangles are :
242692_2ac95e981e8f4132a618a637e8eeec6d.png
  • Isosceles but not congruent
  • Isosceles and congruent
  • Congruent but not isosceles
  • Neither congruent nor isosceles
If any two sides of a triangle are unequal, then the larger side has the $$.........$$ angle opposite to it.
  • Greater
  • Lesser
  • Equal
  • May be greater or lesser
If in two triangles $$ABC$$ and $$PQR$$, $$AB=\, QR$$, $$\angle A=\angle Q$$ and $$\angle B=\angle R$$, then $$\triangle ABC\cong$$ $$\triangle $$ 
  • $$QRP$$
  • $$PQR$$
  • $$PRQ$$
  • None of the above.
If in two triangles $$ABC$$ and $$DEF$$, $$AB=\,DF$$, $$BC=\,DE$$ and $$\angle B=\angle D$$, then $$\triangle ABC\cong $$ $$\triangle $$____.
  • $$FDE$$
  • $$DEF$$
  • $$EDF$$
  • $$EFD$$
If the two angles of a triangle are unequal, then the smaller angle has the $$.......$$ side opposite to it.
  • Smaller
  • Larger
  • May be smaller may be larger
  • The side will be equal to one of the opposite sides
If the two sides and the ____ angle of one triangle are respectively equal to two sides and the included angle of the other triangle, then the triangles are congruent.
  • Included
  • Excluded
  • Adjacent
  • Any
Which of the following pairs of triangles are congruent?
  • $$\triangle ABC$$ and $$\triangle DEF$$ in which : $$BC=\,EF$$, $$AC=\,DF$$ and $$\angle C=\angle F$$
  • $$\triangle ABC$$ and $$\triangle DEF$$ in which : $$AB=\,PQ$$, $$BC=\,QR$$ and $$\angle C=\angle R$$
  • $$\triangle ABC$$ and $$\triangle LMN$$ in which : $$\angle A=\angle L={ 90 }^{ 0 }$$, $$AB=\,LM$$, $$\angle C={ 40 }^{ 0 }$$ and $$\angle M={ 50 }^{ 0 }$$
  • $$\triangle ABC$$ and $$\triangle DEF$$ in which : and $$\angle B=\angle E={ 50 }^{ 0 }$$ and $$AC=\,DF$$
If ____sides of a triangle are respectively equal to the ____ sides of the other triangle, then the triangles are congruent.
  • Three
  • Two
  • One
  • None
In a right triangle, the hypotenuse is the $$.......$$ side
  • Largest
  • Shortest
  • Can be largest or shortest
  • None of these
In the $$\triangle ABC$$,we have $$\angle A>\angle B>\angle C$$, then determine the shortest and the longest side of the triangle.
243353.png
  • Shortest side is $$AB$$ and the longest side is $$BC$$
  • Shortest side is $$BC$$ and the longest side is $$AB$$
  • Shortest side is $$AB$$ and the longest side is $$AC$$
  • Shortest side is $$AC$$ and the longest side is $$BC$$
In the figure, $$\displaystyle AB=CD$$ and $$\displaystyle \angle A={ 90 }^{ o }=\angle D$$. Then 

377041.PNG
  • $$\displaystyle \Delta ABC\cong \Delta DBC$$ by SAS postulate
  • $$\displaystyle \Delta ABC\cong \Delta DCB$$ by RHS postulate
  • $$\displaystyle \Delta ABC\cong \Delta DBC$$ by AAS postulate
  • $$\displaystyle \Delta ABC\cong \Delta DCB$$ by SSS postulate
Two sides of a triangle are $$7$$ and $$10$$ units. Which of the following length can be the length of the third side?
  • $$19$$ cm
  • $$17$$ cm
  • $$13$$ cm
  • $$3$$ cm
In $$\Delta ABC$$, AB = AC and AD is perpendicular to BC. State the property by which $$\Delta ADB\, \cong\, \Delta ADC$$.
  • SAS property
  • SSS property
  • RHS property
  • ASA property
In $$\triangle PQR$$, $$\angle P={ 50 }^{ 0 }$$ and $$\angle R={ 70 }^{ 0 }$$. Name 
i) the shortest side.
ii)the longest side of the triangle
  • i)$$PQ$$,

    (ii)$$QR$$
  • i)$$PR$$,

    (ii)$$PQ$$
  • i)$$QR$$,

    (ii)$$PQ$$
  • i)$$PQ$$,

    (ii)$$PR$$
In a $$\Delta\, ABC$$, if $$\angle B$$ is an obtuse angle, then the longest side is:
  • $$AB$$
  • $$BC$$
  • $$AC$$
  • none
In the following fig. if $$AB=AC$$ and $$BD= DC$$ then $${\angle ADC}$$ =
265572_4d065936bff244cf8d76d2608d8a1aee.png
  • $${60^ 0}$$
  • $${120^ 0}$$
  • $${90^ 0}$$
  • None
Can $$6$$ cm, $$5$$ cm and $$3$$ cm form a triangle?
  • Yes
  • No
  • Sometimes
  • None of these
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