CBSE Questions for Class 9 Maths Triangles Quiz 3 - MCQExams.com

In the figure, $$\displaystyle \Delta ABC\cong \Delta ADC$$ by the congruence postulate
378266_2bc447bc21e144fdba7e60a6f8ca4dd6.png
  • SSS
  • RHS
  • SAS
  • ASA
In the figure, $$\displaystyle AD\parallel BC$$ and $$\displaystyle AD=BC$$. Then $$\displaystyle \Delta ABD\cong \Delta CDB$$ by congruence postulate.

377069.PNG
  • SSS
  • ASA
  • AAS
  • SAS
In the above figure, $$\angle{B}=\angle{C}=65^\circ$$ and $$\angle{D}=30^\circ$$. Then
371060.png
  • $$BC < CA < CD$$
  • $$BC>CA>CD$$
  • $$BC < CA$$, $$CA>CD$$
  • $$BC>CA$$, $$CA < CD$$
In a $$\triangle$$PQR, PS is bisector of $$\angle P$$ and $$\angle Q = 70^o \angle R = 30^o$$, then
  • $$QS > PQ > PR$$
  • $$QS < PQ < PR$$
  • $$QS < PQ > PR$$
  • None of these
If $$\overline{AC}$$ and $$\overline{BD}$$ intersect at $$O$$ such that $$AO = CO$$ and $$BO = DO$$, then:
369459_33a67fcb872d4125bd216df05d89dfb0.png
  • $$AB = CD$$
  • $$AB \parallel CD$$ and $$AB = CD$$
  • $$AB \parallel CD$$
  • None of these
In a triangle ABC. The relation which is true for its sides is-
  • AB + BC < AC
  • AB + BC > AC
  • AB +BC = CA
  • AB = BC + AC
In the figure, $$\displaystyle PS=QR$$ and $$PQ=SR$$, then choose the correct option.
376950.PNG
  • $$\displaystyle \Delta QRP\cong \Delta PSR$$
  • $$\displaystyle \Delta PQR\cong \Delta PRS$$
  • $$\displaystyle \Delta PQR\cong \Delta RSP$$
  • $$\displaystyle \Delta RQP\cong \Delta RSP$$
In $$\displaystyle \Delta ABC$$ and $$\displaystyle \Delta DBC,AC=BD$$ and $$\displaystyle \angle ABC=\angle BCD={ 90 }^{ o }$$. Then $$\displaystyle \Delta ABC\cong \Delta DCB$$ by the postulate
376986.PNG
  • SSS
  • SAS
  • RHS
  • ASA
In $$\displaystyle \Delta PQR,\angle P={ 67 }^{ o }$$ and $$\displaystyle \angle Q={ 76 }^{ o }$$. Arrange the sides in descending order according to the lengths we get, 
  • $$PR> QR >  PQ$$
  • $$PQ> QR> PR$$
  • $$PQ> QR>PR$$
  • $$QR>PQ> PR$$
In $$\displaystyle \Delta XYZ,\angle X={ 60 }^{ o },\angle Y={ 75 }^{ o }$$. The greatest side is ......... and the smallest side is ..............
  • $$XY, YZ$$
  • $$YZ, XZ$$
  • $$XZ, XY$$
  • $$XZ, YZ$$
In $$\displaystyle \Delta PQR,\angle Q={ 67 }^{ o },\angle R={ 48 }^{ o }$$. The smallest side is ........ and the greatest side is ........
  • $$PQ, PR$$
  • $$PQ, QR$$
  • $$QR, PR$$
  • $$PR, PQ$$
If two sides of a triangle are unequal, the angle opposite to the greater side is ___.
  • smaller
  • equal
  • greater
  • does not exist
In $$\displaystyle \Delta XYZ, XY=6 \ cm, YZ=8 \ cm$$ and $$XZ=9 \ cm.$$ The greatest angle is  ___ and the smallest angle is  ____.
  • $$\displaystyle \angle X,\angle Y$$
  • $$\displaystyle \angle Z,\angle Y$$
  • $$\displaystyle \angle Y,\angle X$$
  • $$\displaystyle \angle Y,\angle Z$$
In $$\displaystyle \Delta XYZ,\angle Y={ 90 }^{ o }$$ and $$\angle Z={ 40 }^{ o }$$. Arranging sides (according to length) in ascending order, we get:
  • $$XY< YZ<YZ$$
  • $$XY< YZ< ZX$$
  • $$YZ< ZX< XY$$
  • $$YZ< XY< ZX$$
Which is the greatest side in the following triangle?
435380_18866e9b0ea74a7186c50a9b48cbe7d4.png
  • $$AB$$
  • $$BC$$
  • $$AC$$
  • cannot be determined
In $$\displaystyle \Delta ABC,\angle B={ 55 }^{ o }$$ and $$\displaystyle \angle A={ 45 }^{ o }$$. Arranging the sides in descending order we get:
  • $$AB > BC> AC$$
  • $$BC>AB> AC$$
  • $$AC>AB> BC$$
  • $$AB> AC> BC$$
The two quadrilaterals are congruent.
Which angle in quadrilateral WXYZ corresponds to $$\displaystyle \angle BCD$$ in quadrilateral ABCD?
428251.PNG
  • $$\displaystyle \angle XYZ$$
  • $$\displaystyle \angle XWZ$$
  • $$\displaystyle \angle WZY$$
  • $$\displaystyle \angle WXY$$
In  $$ \displaystyle \bigtriangleup ABC,AD\perp BC,\angle B=\angle C $$ and AB = AC State by which property $$ \displaystyle \Delta ADB\cong \Delta ADC$$ ?
  • RHS property
  • SSS property
  • SAS property
  • ASA property
In $$\displaystyle \Delta ABC,\angle A={ 12 }^{ o }$$ and $$\angle C={ 97 }^{ o }$$. Arranging the sides (according to lengths) in ascending order, we get:
  • $$BC<AB< AC$$
  • $$AB< AC< BC$$
  • $$BC< AC< AB$$
  • $$AB< BC < AC$$
For a $$\displaystyle \Delta XYZ, ZY = 12\ m, YX = 8\ m$$ and $$XZ = 10\ m$$. If $$\displaystyle \Delta ZYX\cong \Delta ABC$$, then $$AC =$$ _____ $$m$$.
  • $$10$$
  • $$12$$
  • $$8$$
  • $$1$$
In the figure given below, $$\displaystyle \Delta ABC\cong \Delta MBC.$$ The corresponding side to $$BA$$ is ......
435522_72e8a5ded2714ef1b998e02728a628fd.png
  • $$BM$$
  • $$AB$$
  • $$AC$$
  • $$MC$$
In the figure given below, $$\displaystyle \Delta ABC\cong \Delta XYZ$$. The corresponding side to $$XZ$$ is .......
435521_bfb17b9b34bf48a89f1540837f8bbc83.png
  • $$AB$$
  • $$BC$$
  • $$AC$$
  • $$YZ$$
In the figure given below, $$\displaystyle \Delta BCA\cong \Delta BCD$$. Corresponding angle to $$\displaystyle \angle D$$ is ...........
435516_38661851e2ec4bbdad0b5bd5cef5eedf.png
  • $$\displaystyle \angle B$$
  • $$\displaystyle \angle C$$
  • $$\displaystyle \angle D$$
  • $$\displaystyle \angle A$$
In the figure given below, both the triangles are congruent. The corresponding side to $$BC$$ is .......
435517_714fa4b82cfd446a8b9bd3d36ec30697.png
  • $$EF$$
  • $$AC$$
  • $$DF$$
  • $$DE$$
In the figure given below, both the triangles are congruent. The corresponding side to $$AB$$ is ___.
435519_8657e8296b8c4d9c83b991f3445c74a1.png
  • $$AB$$
  • $$DE$$
  • $$BC$$
  • $$DF$$
Which of the following sets of side lengths form a triangle?
  • 4 m, 3 m, 11 m
  • 7 mm, 4 mm, 4 mm
  • 3 cm, 1.1 cm, 5 cm
  • 3 m, 4 m, 8 m
It is given that $$\Delta ABC\cong \Delta DEF$$. In the given figure the corresponding angle to $$\displaystyle \angle C$$ is ........
435512_7848b6a4d16c46db885bf80e281dfd0a.png
  • $$\displaystyle \angle B$$
  • $$\displaystyle \angle C$$
  • $$\displaystyle \angle F$$
  • $$\displaystyle \angle A$$
It is given that $$\Delta ABC\cong \Delta DEF$$. In the given figure the corresponding angle to $$\displaystyle \angle B$$ is___.
435509_80ee73b3b6c14781ab5a8611d95c76b2.png
  • $$\displaystyle \angle A$$
  • $$\displaystyle \angle C$$
  • $$\displaystyle \angle E$$
  • $$\displaystyle \angle F$$
Referring the figure below, for $$\displaystyle \Delta ABC$$ and $$\displaystyle \Delta DEF$$, $$ AB=DE, BC=EF$$ and 
$$\displaystyle \angle B=\angle E.$$ The value of $$\displaystyle \angle E$$ is .........

435534.png
  • $$\displaystyle { 30 }^{ o }$$
  • $$\displaystyle { 60 }^{ o }$$
  • $$\displaystyle { 90 }^{ o }$$
  • $$\displaystyle { 45 }^{ o }$$
In the triangles $$ABC$$ and $$PQR,$$ $$AC=QP, BC=RP$$ and $$AB=QR.$$ The measure of $$\angle A$$ is ___.
435529.png
  • $$\displaystyle { 30 }^{ \circ }$$
  • $$\displaystyle { 120 }^{ \circ }$$
  • $$\displaystyle { 20 }^{ \circ }$$
  • $$\displaystyle { 40 }^{ \circ }$$
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