CBSE Questions for Class 9 Maths Triangles Quiz 7 - MCQExams.com

By which congruency criterion, the two triangles in Fig. are congruent?
1791919_a5eac1d4e36846b9a9d54e57ec0855a9.png
  • $$RHS$$
  • $$ASA$$
  • $$SSS$$
  • $$SAS$$
The length of two sides of a triangle is $$7 \,cm$$ and $$9 \,cm$$. the length of the third side may lie between
  • $$1 \,cm$$ and $$10 \,cm$$
  • $$2 \,cm$$ and $$8 \,cm$$
  • $$3 \,cm$$ and $$16 \,cm$$`
  • $$1 \,cm$$ and $$16 \,cm$$
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
  • $$\Delta ABC\cong \Delta DBC$$
  • $$\Delta ABC \cong \Delta CBD$$
  • $$\Delta ABC\cong \Delta DCB$$
  • $$\Delta ABC\cong \Delta BCD$$
If length of two sides of a triangle are $$6 \,cm$$ and $$10 \,cm$$, then the length of the third side can be
  • $$3 \,cm$$
  • $$4 \,cm$$
  • $$2 \,cm$$
  • $$6 \,cm$$
Which of the following can be the length of the third side of triangle whose two sides measure $$18 cm$$ and $$14 cm $$?
  • $$4 \,cm$$
  • $$3 \,cm$$
  • $$5 \,cm$$
  • $$32 \,cm$$
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
Choose the correct alternative answer for the following question. $$ \ln \Delta \mathrm{PQR}, $$ If $$ \angle \mathrm{R}>\angle \mathrm{Q} $$ then $$ \ldots \ldots $$
  • $$ \mathrm{QR}>\mathrm{PR} $$
  • $$ P Q>P R $$
  • $$ \mathrm{PQ}<\mathrm{PR} $$
  • $$ \mathrm{QR}<\mathrm{PR} $$
$$ \ln \Delta \mathrm{TPQ}, \angle \mathrm{T}=65^{\circ}, \angle \mathrm{P}=95^{\circ} $$ which of the following is a true statement?
  • $$ \mathrm{PQ}<\mathrm{TP} $$
  • $$ P Q< T Q $$
  • $$ \mathrm{TQ}<\mathrm{TP}<\mathrm{PQ} $$
  • $$ \mathrm{PQ}<\mathrm{TP}<\mathrm{TQ} $$
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 $$\Delta PQR$$, if $$\angle R > \angle Q$$, then
  • $$QR>PR$$
  • $$PQ>PR$$
  • $$PQ < PR$$
  • $$QR < PR$$
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 figure, if $$AB = AC$$ and $$\angle B = 70^{0}$$, the value of $$\angle A$$ will be:

1878765_1e270aadde2c4a81bbe6115d6bddcb40.png
  • $$70^{0}$$
  • $$40^{0}$$
  • $$55^{0}$$
  • $$90^{0}$$
In figure, if $$AB = AC$$, then the value of $$\angle C$$ is equal to:

1878767_e0049d1f9bbe48679b36aef6d7b0ea77.png
  • $$60^{0}$$
  • $$36^{0}$$
  • $$72^{0}$$
  • $$108^{0}$$
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
Let ABC is a triangle. Then, which of the following is possible?
  • AC + BC > AB
  • AB + BC  > AC
  • AB + AC  > BC
  • None of these.
Is it possible to have a triangle with the following sides?
3 cm, 6 cm, 8 cm
  • Yes
  • No
  • May be
  • Information insufficient.
The lengths of two sides of a triangle are 6 cm and 8 cm. Which of the following can be length the third side of the triangle?
  • 1 cm
  • 5 cm
  • 15 cm
  • None of the above
AM is a median of a $$\triangle ABC$$. Which of the following is true?
  • AB + BM + MC > AC
  • AB + BC + AM >  AC
  • AM + BC + CA > 2 AB
  • None of these.
Let two sides of a triangle are 2 cm and 5 cm. Which of the following can be the length of its third side?
  • 6 cm
  • 7 cm
  • 2 cm
  • 8 cm
Given $$\triangle ABC$$ in the figure. Then which is NOT true for a, b, c?
(Assume a > c > b)
1946804_fa1f97dc197e4a0a92d3df91faf78fd5.gif
  • a + b > c
  • c + b > a
  • a + c > b
  • None of these
Given $$\triangle ABC$$ in the figure. Then which is true for a, b, c?
1946803_2a046dc2d4444b16a99696a35e54896e.gif
  • a + b > c
  • b + c > a
  • a + c > b
  • None of these

The equation of circumcircle of an

equilateral triangle is $$ x^2 + y^2 + 2gx + 2fy + c = 0$$ and one vertex

of the triangle is $$(1, 1)$$. The equation of incircle of the triangle is 
  • $$4(x^2+y^2)=g^2+f^2$$
  • $$4(x^2+y^2) +8gx+8fy=(1-g)(1+3g)+(1-f)(1+3f)$$
  • $$4(x^2+y^2) +8gx+8fy=g^2+f^2$$
  • None of these
The distance from A to town B is five miles. C is six miles from B. Which of the following could be the distance from A to C?
I. $$11$$
II. $$1$$
III. $$7$$
  • I only
  • II only
  • I and II only
  • II and III only
  • I, II and III
The three sides of a triangle are $$10,100$$ and $$x$$. Which one of the following is correct?
  • $$10< x< 100$$
  • $$90< x< 110$$
  • $$90\le x\le 110$$
  • $$90\le x<110$$
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
In $$\triangle PQR$$, if the measure of $$\angle Q$$ is $$50^o$$ and the measure of $$\angle P$$ is $$p^o$$, and if $$\overline{PQ}$$ is longer than $$\overline{PR}$$, then
  • 0 < p < 40
  • 0 < p < 80
  • 40 < p < 80
  • 80 < p < 90
  • 80 < p < 130
In a $$\triangle PQR,$$ if $$\angle R>\angle P,$$ then which of the following cannot be true ?
  • $$QR>PQ>PR$$
  • $$PR>PQ>QR$$
  • $$PQ>PR>QR$$
  • $$PQ>QR>PR$$
0:0:1


Answered Not Answered Not Visited Correct : 0 Incorrect : 0

Practice Class 9 Maths Quiz Questions and Answers