CBSE Questions for Class 7 Maths Congruence Of Triangles Quiz 5 - MCQExams.com

In the given figure, which of the following is correct?
784097_11b4b03f62554318b4e018d0a83462b3.JPG
  • $$\Delta PQR \cong \Delta RSP$$
  • $$\Delta PQR \cong \Delta SPR$$
  • $$\Delta PQR \cong \Delta RPS$$
  • $$\Delta PQR \cong \Delta PSR$$
Referring the figure given below, for $$\displaystyle \Delta PQR$$ and $$\displaystyle \Delta XYZ$$, $$PQ=YZ, QR=XZ$$ and $$\displaystyle \angle Q=\angle Z$$. The value of $$\displaystyle \angle P$$ is ___.
435535.png
  • $$\displaystyle { 42 }^{ \circ }$$
  • $$\displaystyle { 75 }^{ \circ }$$
  • $$\displaystyle { 63 }^{ \circ }$$
  • Cannot be determined
In a $$\triangle ABC$$, $$D$$ is the midpoint of the side $$BC. DE$$ is perpendicular to $$AB$$ and $$DF$$ is perpendicular to $$AC$$. Also, $$DE=DF$$, Then $$\displaystyle \angle B$$ =
  • $$\displaystyle \angle E$$
  • $$\displaystyle \angle F$$
  • $$\displaystyle \angle C$$
  • $$\displaystyle \angle A$$
In the given figures, which of the following satisfies A.S.A. condition for congruence?
435541_11922435bb9d44ecadcfa0242821d984.png
  • Figure II
  • Figure I and II
  • Figure I
  • None of these
For $$\displaystyle \Delta ABC$$ and $$\displaystyle \Delta DEF$$, $$\displaystyle \angle B=\angle D={ 90 }^{ o }$$, $$\displaystyle AC=EF$$ and $$\displaystyle AB=ED$$. Then $$\displaystyle \Delta ABC\cong $$..........
  • $$\displaystyle \Delta EDF$$
  • $$\displaystyle \Delta DEF$$
  • $$\displaystyle \Delta EFD$$
  • $$\displaystyle \Delta FED$$
For $$\displaystyle \Delta ABC \cong \displaystyle \Delta DEF$$. Then according to the given figure,$$\angle D = 40^o$$, $$\displaystyle \angle C=$$.....
435558_5308b5cdb54d4063b29da9be02a94349.png
  • $$\displaystyle { 40 }^{ o }$$
  • $$\displaystyle { 90 }^{ o }$$
  • $$\displaystyle { 60 }^{ o }$$
  • $$\displaystyle { 50 }^{ o }$$
Given are two congruent triangles $$ABC$$ and $$XYZ.$$ Which of the following statements is incorrect?
435589.png
  • $$\displaystyle \angle A=\angle X$$
  • $$\displaystyle AB=XY$$
  • $$\displaystyle \Delta ABC\cong \Delta XYZ$$
  • $$\displaystyle AC=YZ$$
Which condition of congruency proves that the following pair of triangles are congruent
435583.png
  • $$A.A.S$$
  • $$S.S.S$$
  • $$S.A.S$$
  • $$A.S.A$$
Complete the correspondence statement:
$$\displaystyle \Delta ABC\cong $$.............

435573.PNG
  • $$\displaystyle \Delta DEF$$
  • $$\displaystyle \Delta DFE$$
  • $$\displaystyle \Delta FDE$$
  • $$\displaystyle \Delta EFD$$
In the figure , $$\angle A = \angle C$$ and $$AB = BC$$. Then $$\Delta ABD \cong \Delta CBE$$
1028432_88d052792eb54c6abd09744bbe9b2c80.png
  • True
  • False
$$\displaystyle \Delta BAC\cong \Delta DEC,AB\parallel DE$$, if $$\displaystyle \angle B$$ is $$\displaystyle { 90 }^{ o }$$ and $$\displaystyle \angle C$$ is $$\displaystyle { 50 }^{ o }$$,
Find $$\displaystyle \angle A$$ and $$\displaystyle \angle D$$=.......
448508.PNG
  • $$\displaystyle { 35 }^{ o }$$
  • $$\displaystyle { 50 }^{ o }$$
  • $$\displaystyle { 40 }^{ o }$$
  • $$\displaystyle { 55 }^{ o }$$
In figure,
$$BD $$ is a bisector of $$\angle B, CD = DA$$
In order to show the $$\triangle BDA$$ and $$\triangle BDC$$ are congruent, which property of triangle applies here?

456672.png
  • $$SAS$$
  • $$SSS$$
  • $$AAS$$
  • None
In the figure, $$\displaystyle \Delta ACB\cong \Delta DCB$$, then the value of $$x$$ and $$y$$ are:
435569_19a932442ff042a8ba897ccdbfd9e886.png
  • $$14 $$ cm, $$\displaystyle { 20 }^{ o }$$
  • $$28 $$ cm, $$\displaystyle { 20 }^{ o }$$
  • $$\displaystyle { 14 }^{ o }$$, $$20 $$ cm
  • $$\displaystyle { 28 }^{ o }$$, $$20 $$ cm
Which condition of congruence proves that the following pair of triangles are congruent
435582.png
  • $$A.A.S$$
  • $$S.S.S$$
  • $$S.A.S$$
  • $$A.S.A$$
Which condition of congruency proves that the following pair of triangles are congruent 
435584.png
  • $$RHS$$
  • $$SSS$$
  • $$ASA$$
  • $$SAS$$
Complete the correspondence statement:
$$\displaystyle \Delta GHK\cong $$____.

435578_944b9dabb21b4e3aa004e2c6f03a5c24.PNG
  • $$\displaystyle \Delta GTK$$
  • $$\displaystyle \Delta KTG$$
  • $$\displaystyle \Delta GKT$$
  • $$\displaystyle \Delta TGK$$
$$AD$$ is the bisector of BC.
Which property of triangle applies here?
456673_5d6210e7f8fe43f2b3bb261e2771055e.png
  • $$SAS$$
  • $$SSS$$
  • $$AAS$$
  • none
$$\Delta ABC \cong \Delta DEF$$ by ASA congruence condition. Find the value of $$x$$.

458746.png
  • $$x = 20$$
  • $$x = 30$$
  • $$x = 40$$
  • $$x = 50$$
Which condition will prove these triangles as congruent?

458776.PNG
  • SSS
  • AAS
  • SAS
  • ASA
Which of the following pairs of triangle are congruent ?
  • $$\triangle ABC$$ and $$\triangle DEF$$ in which : BC = EF, AC = DF and $$\angle C=\angle F$$.
  • $$\triangle ABC$$ and $$\triangle PQR$$ in which : AB = PQ, BC = QR and $$\angle C=\angle R$$
  • $$\triangle ABC$$ and $$\triangle LMN$$ in which : $$\angle A=\angle L={ 90 }^{ \circ },AB=LM,\angle C={ 40 }^{ \circ }$$ and $$\angle M={ 50 }^{ \circ }$$
  • $$\triangle ABC$$ and $$\triangle DEF$$ in which : $$\angle B=\angle E={ 90 }^{ \circ }$$ and AC = DF
Given two right angled triangle ABC and PQR, such that $$<A=20^o, <Q=20^o$$ and $$AC=QP$$. Write the correspondence if triangles are congruent.
  • $$\Delta ABC\cong \Delta PQR$$
  • $$\Delta ABC\cong \Delta PRO$$
  • $$\Delta ABC\cong \Delta ROP$$
  • $$\Delta ABC\cong \Delta QRP$$
$$\triangle PQR$$ is right angled at $$Q$$, $$PR=5cm$$ and $$QR=4cm$$. If the lengths of sides of another triangle $$ABC$$ are $$3cm$$, $$4cm$$, $$5cm$$, then which one of the following is correct?
  • Area of $$\triangle PQR$$ is double that of $$\triangle ABC$$.
  • Area of $$\triangle ABC$$ is double that of $$\triangle PQR$$.
  • $$\sqrt { B } =\cfrac { \sqrt { Q } }{ 2 } $$
  • Both triangles are congruent.
In quadrilateral $$ACBD, AC = AD$$ and $$AB$$ bisects $$\angle CAD.$$ Show that $$\triangle ABC \cong \triangle ABD$$. Can you say that $$BC$$=$$BD$$?
569768_542088a0efd74ec8b2ed83219176e896.png
  • True
  • False
In $$\triangle ABC$$, the bisector of $$\angle {A}$$ intersects $$\overline { BC } $$ at a point $$D$$. Then:
  • $$BD\times AC=BC\times AB$$
  • $$BD\times AB=DC\times AC$$
  • $$AC\times AB=DC\times BC$$
  • $$BD\times AC=DC\times AB$$
The two triangles in the figure are congruent by the congruence theorem. Here, it is given $$OQ=OR$$. Which of the following condition, along with the given condition, is sufficient to prove that the two triangles are congruent to each other?
625361_3b6813f6141a4fea8c6a53032b601c68.png
  • $$\angle P=\angle S$$
  • $$\angle Q=\angle R$$
  • $$OP=OS$$
  • $$PQ=SR$$
Which congruence criteria can be used to state that $$\triangle$$XOY $$\cong$$ $$\triangle$$POQ?
759829_19a31269eed348a1a5d03b40b808413f.JPG
  • ASA
  • SAS
  • SSS
  • RHS
$$\triangle FGC$$ is an isosceles triangle, which of the following method will prove $$\triangle ABC$$ congruent to $$\triangle DEF$$ ?
672063_42f07f33c55e47fdb9ddb9037a575f28.png
  • SSS
  • RHS
  • AAS
  • SAS
To prove that $$\Delta DEF$$ and $$\Delta ABC$$ are congruent by SAS, what additional information is needed?
672084_63653066f8e847a084dfaf9703dc03c6.png
  • $$EF \cong BC$$
  • $$ \angle DFE \cong \angle ABC$$
  • $$DE \cong AB$$
  • $$\angle DFE \cong \angle ACB$$
In given figure $$\triangle PQR \cong \triangle XYZ$$ by _______ congruency rule.
759827_e852a3aa200d423fa3a43d61bef6dda8.png
  • $$SSS$$
  • $$AAA$$
  • $$SAS$$
  • $$ASA$$
In the given figure, the line segment $$AB$$ is parallel to another line segment $$RS$$ and $$O$$ is the midpoint of $$AS$$, Then $$\Delta AOB \cong \Delta SOR \ ?$$ 

1029072_3b46cb87173842d59187e5717db5f492.png
  • True
  • False
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