CBSE Questions for Class 7 Maths Congruence Of Triangles Quiz 4 - MCQExams.com

In the given figure, $$\triangle RTQ\cong \triangle PSQ$$ by ASA congruency condition. Which of the following pairs does not satisfy the condition?

283204_e30145a26fcb44ea8f774019fe8741a2.png
  • $$PQ=QR$$
  • $$\angle P=\angle R$$
  • $$\angle TQP=\angle SQR$$
  • None of these
In the following fig. if AB = AC and BD = DC then $$\angle ADC\, =$$
267146_45e35e8e8d394d6794853e7ca8dcf944.png
  • $$60^{\circ}$$
  • $$120^{\circ}$$
  • $$90^{\circ}$$
  • None
If $$AB=QR$$, $$BC=PQ$$ and $$CA=PR$$, then:
242487.png
  • $$\triangle ABC\cong \triangle PQR$$
  • $$\triangle CBA\cong \triangle PQR$$
  • $$\triangle BAC\cong \triangle RPQ$$
  • $$\triangle PQR\cong \triangle BCA$$
In the given figure, $$OA=OB, OC=OD, \angle AOB=\angle COD.$$ Which of the following statements is true$$\: ?$$

283215_0c7d924c2bd6438ebcbdeb6c7ccc77b1.png
  • $$AC=CD$$
  • $$OA=OD$$
  • $$AC=BD$$
  • $$\angle OCA=\angle ODC$$
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
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 $$\displaystyle \Delta ABC$$ 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 the given figure, $$AD=BC, AC=BD.$$ Then $$\triangle PAB$$ is

283218_49adc0e1a3364322ab8adf77b68b0398.png
  • equilateral
  • right angled
  • scalene
  • isosceles
It is given that $$AB=BC$$ and $$AD=EC.$$ The $$\triangle ABE\cong \triangle  CBD$$ by __________ congruency.

283207.png
  • $$SSS$$
  • $$ASA$$
  • $$SAS$$
  • $$AAS$$
In the figure, $$\displaystyle PS=QR$$ and $$PQ=SR$$, then choose the correct option.
376950.PNG
  • $$\displaystyle \Delta QRP\cong \Delta PSR$$
  • $$\displaystyle \Delta PQR\cong \Delta PRS$$
  • $$\displaystyle \Delta PQR\cong \Delta RSP$$
  • $$\displaystyle \Delta RQP\cong \Delta RSP$$
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
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 triangles $$ABC$$ and $$PQR,$$ $$AC=QP, BC=RP$$ and $$AB=QR.$$ The measure of $$\angle A$$ is ___.
435529.png
  • $$\displaystyle { 30 }^{ \circ }$$
  • $$\displaystyle { 120 }^{ \circ }$$
  • $$\displaystyle { 20 }^{ \circ }$$
  • $$\displaystyle { 40 }^{ \circ }$$
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
  • $$EF$$
  • $$AC$$
  • $$DF$$
  • $$DE$$
Which condition for congruence is used to prove that the following pairs of triangles are congruent
435527.png
  • $$ASA$$
  • $$AAS$$
  • $$SAS$$
  • $$SSS$$
In the figure given below, both the triangles are congruent. The corresponding side to $$AB$$ is ___.
435519_8657e8296b8c4d9c83b991f3445c74a1.png
  • $$AB$$
  • $$DE$$
  • $$BC$$
  • $$DF$$
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 a rectangle $$PQRS$$, $$QS$$ is a diagonal. Then $$\displaystyle \Delta PQS......\Delta RSQ$$
  • is similar to
  • is not equal to
  • is congruent to
  • is not congruent to
For $$\displaystyle \Delta ABC$$ and $$\displaystyle \Delta DEF,\angle A={ 47 }^{ o },\angle E={ 53 }^{ o }$$ and $$\displaystyle AB=DE=16 \ cm\\ $$. $$\displaystyle \angle A=\angle D$$ and $$\displaystyle \angle B=\angle E$$, then $$\displaystyle \angle C= $$..............
  • $$\displaystyle { 47 }^{ o }$$
  • $$\displaystyle { 53 }^{ o }$$
  • $$\displaystyle { 80 }^{ o }$$
  • $$\displaystyle { 100 }^{ o }$$
For $$\displaystyle \Delta ABC$$ and $$\displaystyle \Delta PQR$$, $$AB=PQ, AC=PR,$$ and $$\displaystyle \angle A=\angle P,$$ then:
  • $$\displaystyle \Delta BAC\cong \Delta PRQ$$
  • $$\displaystyle \Delta BAC\cong \Delta PQR$$
  • $$\displaystyle \Delta ABC\cong \Delta PRQ$$
  • $$\displaystyle \Delta ABC\cong \Delta PQR$$
For $$\displaystyle \Delta ABC$$ and $$\displaystyle \Delta DEF,$$ $$AB=FE, BC=ED$$ and $$\displaystyle \angle B=\angle E$$. Therefore ............
  • $$\displaystyle \Delta ABC\cong \Delta DEF$$
  • $$\displaystyle \Delta ABC\cong \Delta EDF$$
  • $$\displaystyle \Delta BCA\cong \Delta DEF$$
  • $$\displaystyle \Delta BCA\cong \Delta EDF$$
For $$\displaystyle \Delta ABC$$ and $$\displaystyle \Delta DEF$$, $$\displaystyle \angle B=\angle D,\angle C=\angle F$$ and $$BC=DF$$. Therefore which of the following is correct?
  • $$\displaystyle \Delta ABC\cong \Delta DEF$$
  • $$\displaystyle \Delta BCA\cong \Delta DFE$$
  • $$\displaystyle \Delta BCA\cong \Delta DEF$$
  • $$\displaystyle \Delta ABC\cong \Delta DFE$$
If $$\Delta ABC$$ and $$\Delta DEF$$ are congruent, then find the value of $$x$$ and $$y$$.

458748.png
  • $$x = 40, y = 60$$
  • $$x = 30, y = 60$$
  • $$x = 60, y = 60$$
  • $$x = 60, y = 40$$
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