CBSE Questions for Class 9 Maths Triangles Quiz 10 - MCQExams.com

The sum of lengths of any two sides of a triangle is always_________the third side.
  • greater than
  • less than
  • equal to
  • none of these
If the angles of a triangle are $$30^{\circ},60^{\circ},90^{\circ}$$, then what is the ratio of corresponding sides?
  • $$\;1\,\colon\,2\,\colon\,3$$
  • $$\;1\,\colon\,1\,\colon\,\sqrt{2}$$
  • $$\;1\,\colon\,\sqrt{3}\,\colon\,3$$
  • $$\;1\,\colon\,\sqrt{2}\,\colon\,2$$
The side opposite to an obtuse angle of a triangle is
  • Smallest
  • Greatest
  • Half of the perimeter
  • None of these
State the property by which$${\triangle }$$ADB   $${\cong }$$  $${\triangle }$$ADC in the following figure.
265566_d263e9f67c664d2e9f72dc1a0e74ff1d.png
  • SAS property
  • SSS property
  • RHS property
  • ASA property
If a, b and c are the sides of a $$\Delta$$ le then
  • a - b > c
  • c > a + b
  • c = a + b
  • b < c + a
Sum of the lengths of any two sides of a triangle is always ____ than the length of the third side.
  • less than
  • equal to
  • greater than
  • None of these
$$\Delta$$ABC is congruent of $$\Delta$$DEF, if
  • AB = 4 = DE, AC = 6 = DF, $$\angle$$A = $$\angle$$D
  • AB = 4 = DE, AC = 6 = DF, $$\angle$$B = $$\angle$$E
  • AB = 6 = DE, AC = 4 = DF, $$\angle$$C = $$\angle$$F
  • AB = 4 = DE, AC = 6 = DF, $$\angle$$C = $$\angle$$F
In the figure, AB and CD are two walls of equal height. A ladder BO is shifted to reach the other wall at D. Then, the triangles are congruent by the postulate
378257.PNG
  • SSS
  • SAS
  • ASA
  • RHS
In $$\displaystyle \Delta ABC, AB=5 \ cm, BC=4 \ cm$$ and $$AC=8 \ cm.$$ The smallest angle is .......... and the greatest angle is ..........
  • $$\displaystyle \angle A,\angle B$$
  • $$\displaystyle \angle B,\angle A$$
  • $$\displaystyle \angle A,\angle C$$
  • $$\displaystyle \angle B,\angle C$$
Can the three sides of length $$6 cm, 5 cm,$$ and $$3 cm$$ form a triangle?
  • Yes
  • No
  • Sometimes
  • None
In the figure, $$AD$$ and $$BC$$ are perpendicular to $$AB$$, and $$AD=BC$$. Then , by $$SAS$$ congruence postulate, $$\displaystyle \Delta ABC\cong $$
378258_f2321200e5154b78adcdff51ea8ce88c.png
  • $$\displaystyle \Delta ABD$$
  • $$\displaystyle \Delta BDA$$
  • $$\displaystyle \Delta BAD$$
  • $$\displaystyle \Delta ADB$$
AC is a diagonal of a rectangle ABCD. Which triangle is congruent to $$\triangle$$ ADC?
  • $$\triangle BCA$$
  • $$\triangle ACB$$
  • $$\triangle CBA$$
  • $$\triangle BCD$$
Which of the following statements is true when $$\displaystyle \Delta ABC\cong \Delta DEF.$$
  • $$\displaystyle \angle A=\angle D$$
  • $$\displaystyle \angle A=\angle E$$
  • $$\displaystyle \angle A=\angle F$$
  • none of these
When two triangles have corresponding sides equal in length, then the two triangles are congruent.
  • SAS congruency Theorem
  • AA congruency Theorem
  • AAA congruency Theorem
  • SSS congruency Theorem
Which of the following can be used to prove that $$\Delta ABC \cong \Delta SRT$$?

458775.PNG
  • ASA
  • SAS
  • RHS
  • AAA
By $$SAS$$ congruence rule, $$\triangle PQR$$ is congruent to 
458751_3bc751c5e35d482c814194feba6cf746.png
  • $$\triangle BCA$$
  • $$\triangle CAB$$
  • $$\triangle ABC$$
  • $$\triangle ACB$$
Which pair of triangles shows congruency by the SSS postulate?

458668.PNG
  • figure C
  • figure A
  • figure B
  • figure D
What is the largest side of the triangle?

458496_acb69ceb40ce4828a91c43d5f9b8dafc.png
  • $$\overline{AB}$$
  • $$\overline{BC}$$
  • $$\overline{CA}$$
  • $$\overline{AC}$$
In $$\Delta JKL$$ and $$\Delta MNO$$,  $$\displaystyle { JL } \cong { ON } $$ and $$\displaystyle { KL } \cong { OM } $$, then the condition which will make both triangles congruent is:
479182_491e113dbb6647b0a366c088d3227ece.png
  • $$\displaystyle \angle L\cong \angle O$$
  • $$\displaystyle \angle K\cong \angle M$$
  • $$\displaystyle \angle J\cong M$$
  • $$\displaystyle \angle J\cong \angle N$$
If three sides of a triangle are equal to three sides of another triangle, then the two triangles are congruent. This is _____ condition for congruence.
  • $$ASA$$
  • $$AAS$$
  • $$SSS$$
  • $$SAS$$
If the hypotenuse and one of the other two sides of a right angles triangle is equal to the hypotenuse and one of the other two sides of the other right-angled triangle respectively, then the two right-angled triangles are ___.
  • congruent
  • unequal
  • equilateral
  • None of the these
In $$\triangle$$ ABC, $$AB = 5$$ cm, $$BC= 6$$ cm and $$CA= 7$$ cm. Identify the relation between the angles.
  • $$\angle B > \angle A > \angle C$$
  • $$\angle A > \angle B > \angle C$$
  • $$\angle B > \angle C > \angle A$$
  • $$\angle C > \angle A > \angle B$$
State true or false:
Any two right triangles with hypotenuse $$5\ cm$$, are congruent.
  • True
  • False
State the following statement is True or False
Two equilateral triangles with their sides equal are always congruent
  • False
  • True
In $$\triangle ABC$$ and $$\triangle DEF$$, $$\angle B=\angle E,AB=DE,BC=EF$$. The two triangles are congruent under ............. axiom.
  • SSS
  • AAA
  • SAS
  • ASA
State true or false:
Any two circles of radii $$4\ cm$$ each are congruent.
  • True
  • False
Two plane figures are said to be congruent if they have_____.
  • same size
  • same shape
  • same size and same shape
  • none
State true or false:
Two equilateral triangles of side $$4\ cm$$ each but labeled as $$\triangle ABC$$ and $$\triangle LHN$$ are not congruent.
  • True
  • False
State true or false:
Two circles are always congruent.
  • True
  • False
Which of the following is congruent to the above figure?
636704_d6ba85a681b340f1814aff5aa5e8e21d.gif
  • None of these
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