CBSE Questions for Class 7 Maths Congruence Of Triangles Quiz 6 - MCQExams.com

In given figure, 
CF and AE are equal perpendiculars on BD, BF = FE = ED.
$$\angle$$BAE = ______.
759831_1f84d73ccae04fad9642dd7fdde95407.png
  • $$\angle$$BCD
  • $$\angle$$CBA
  • $$\angle$$ADC
  • $$\angle$$DCF
In the figure,  ABC is a triangle in which AB = AC. X and Y are points on AB and AC such that AX =AY. Then $$\Delta ABY \cong \Delta ACX$$
1028425_5ed3ab5413ae425680f5d55cf74b05c7.png
  • True
  • False
In $$\Delta ABC$$, E and D  are the two points on BC such that CE = DB  and $$\angle AEC= \angle ADB$$. Then the statement $$\Delta CAD \cong \Delta BAE$$ is
  • True
  • False

Two line segments are congruent if they have the same length.
  • True
  • False
In right triangle ABC, the right angle is at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that DM = CM. Point D is joined to point) B (see figure). 

State whether the statement is true/false 

$$\Delta AMC \cong \Delta BMD$$
1040288_c533f1ec9f54439abf481306faca9a7f.png
  • True
  • False
$$ABCD$$ is a square and $$\Delta PAD $$ is equilateral then $$PB = 2PC$$.
1063214_41b5e46b0c5546509369349358c9f3d1.png
  • True
  • False
In the given figure, $$ABC$$ is an isosceles triangle in which $$AB = AD$$. Also, $$D$$ is a point such that $$BD = CD$$. then "$$AD$$ bisects $$\angle A$$ and $$\angle D$$." is ?
1143588_dcf275a90b1240a9a22d789625bd6283.png
  • True
  • False
PQR is a right angled triangle in which $$\angle R=90^{\circ}$$.  If RS $$ \perp $$PQ, PR=3 cm, and RQ=4 cm, then what is the value of RS(in cm)?
  • $$\dfrac {12} 5$$
  • $$\dfrac {36} 5$$
  • $$5$$
  • $$2.5$$
State true or false.
In the given figure,  $$AB=AC$$ , then $$\begin{array} { l } { \text {} \mathrm { DP } = \mathrm { DQ } } \end{array}.$$
1191772_6009a6a59e544310a7c07e148d372376.png
  • True
  • False
In $$\Delta PQR$$ and $$\Delta SQR$$, $$\overline{PQ}$$  =$$\overline{SR}$$ and $$\angle PQR = \angle QRS$$  then:
1188809_255df8f320604c438c75a8dc88d1cf15.jpg
  • $$\Delta PQR \sim \Delta SRQ$$
  • $$\Delta PQR \equiv \Delta SRQ$$
  • $$\Delta PQR = \Delta SRQ$$
  • None of these
$$ \triangle APQ$$ is such that perpendicular bisector of side $$PQ$$ bisect it at $$M$$ and passes from vertex $$A$$. Then by using which of the following congruence rule it can be proved that $$  \triangle \mathrm{AMP} \cong \triangle \mathrm{AMQ} $$.
  • $$RHS$$
  • $$SSS$$
  • $$SAS$$
  • $$AAA$$
If $$\Delta ABC$$ and $$\Delta XYZ$$ are equilateral triangles and $$AB = XY,$$ the condition under which $$\Delta ABC \cong\Delta XYZ$$ is 
  • $$ASA$$
  • $$RHS$$
  • $$SSS$$
  • $$AAS$$
If $$\Delta PQR$$ in congruent to $$\Delta STU$$, then what is the length of $$TU$$?
1791928_2d94336dd0e643028e3bfed0dfa0630b.png
  • $$5 \,cm$$
  • $$6 \,cm$$
  • $$7 \,cm$$
  • cannot be determined
By which congruency criterion, the two triangles in Fig. are congruent?
1791919_a5eac1d4e36846b9a9d54e57ec0855a9.png
  • $$RHS$$
  • $$ASA$$
  • $$SSS$$
  • $$SAS$$
If $$\Delta ABC$$ and $$\Delta DBC$$ are on the same base $$BC, AB = DC$$  and $$AC = DB$$, then which of the following gives a congruence relationship?
1792377_76d099049edc41d59ca193e87ab55b9d.png
  • $$\Delta ABC\cong \Delta DBC$$
  • $$\Delta ABC \cong \Delta CBD$$
  • $$\Delta ABC\cong \Delta DCB$$
  • $$\Delta ABC\cong \Delta BCD$$
All congruent triangles are equal in area. 
  • True
  • False
All triangles are congruent.
  • True
  • False
Write true or False and justify your answer in each of the following:
If the angle between two tangents drawn from a point P to a circle of radius 'a' and centre O is $$60^\circ,$$ then $$OP = a\sqrt{3}.$$
  • True
  • False
If $$AB=QR,BC=PR$$ and $$CA=PQ$$ then
1876455_736fcebb2bc5436ab80c8675f0418b5a.png
  • $$\triangle ABC\cong \triangle PQR$$
  • $$\triangle CBA\cong \triangle PRQ$$
  • $$\triangle BAC\cong \triangle RPQ$$
  • $$\triangle PQR\cong \triangle BCA$$
In triangles $$ABC$$ and $$DEF$$, $$AB=FD$$ and $$\angle A=\angle D$$. Two triangles are congruent by SAS criterion if
  • $$BC=EF$$
  • $$AC=DE$$
  • $$AC=EF$$
  • $$BC=DE$$
In two triangles $$ABC$$ and $$DEF$$, if $$AC = DF, BC = EF$$ and $$\angle ABC = \angle DEF = 90^{0}$$ then two triangles are said to be congruent by:
  • RHS property
  • SAS property
  • ASA property
  • SSS property
If $$AB = QR; BC = PR$$ and $$CA = PQ$$, then
  • $$\Delta ABC=\Delta PQR$$
  • $$\Delta CBA=\Delta PRQ$$
  • $$\Delta BAC=\Delta RPQ$$
  • $$\Delta PQR=\Delta BCA$$
In fig 3, if AB $$=$$ AC and AP $$=$$ AQ, then by which congruence criterion $$\Delta PBC \cong  \Delta QCB$$

85355.jpg
  • SSS
  • ASA
  • SAS
  • RHS
If $$\Delta ABC\cong \Delta DEF$$ write the part of $$\Delta ABC$$ that correspond to
  • DE
  • $$\angle E$$
  • DF
  • EF
  • $$\angle F$$
if ABC and DEF are congruent triangles such that $$\angle A={ 47 }^{ \circ  }\quad and\quad \angle E={ 83 }^{ \circ  },\quad then\quad \angle C=$$
  • $${ 100 }^{ \circ }$$
  • $${ 50 }^{ \circ }$$
  • $${ 90 }^{ \circ }$$
  • NONE OF THESE
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