CBSE Questions for Class 9 Maths Triangles Quiz 4 - MCQExams.com

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:
  • $$\displaystyle \Delta BAC\cong \Delta PRQ$$
  • $$\displaystyle \Delta BAC\cong \Delta PQR$$
  • $$\displaystyle \Delta ABC\cong \Delta PRQ$$
  • $$\displaystyle \Delta ABC\cong \Delta PQR$$
Which condition for congruence is used to prove that the following pairs of triangles are congruent
435527.png
  • $$ASA$$
  • $$AAS$$
  • $$SAS$$
  • $$SSS$$
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?
  • $$\displaystyle \Delta ABC\cong \Delta DEF$$
  • $$\displaystyle \Delta BCA\cong \Delta DFE$$
  • $$\displaystyle \Delta BCA\cong \Delta DEF$$
  • $$\displaystyle \Delta ABC\cong \Delta DFE$$
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 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 $$\displaystyle \Delta ABC \cong \displaystyle \Delta DEF$$. 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, $$\displaystyle \Delta ACB\cong \Delta DCB$$, 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
  • $$RHS$$
  • $$SSS$$
  • $$ASA$$
  • $$SAS$$
For $$\displaystyle \Delta ABC$$ and $$\displaystyle \Delta DEF$$, $$\displaystyle \angle B=\angle D={ 90 }^{ o }$$, $$\displaystyle AC=EF$$ and $$\displaystyle AB=ED$$. Then $$\displaystyle \Delta ABC\cong $$..........
  • $$\displaystyle \Delta EDF$$
  • $$\displaystyle \Delta DEF$$
  • $$\displaystyle \Delta EFD$$
  • $$\displaystyle \Delta FED$$
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 $$\displaystyle \angle B$$ =
  • $$\displaystyle \angle E$$
  • $$\displaystyle \angle F$$
  • $$\displaystyle \angle C$$
  • $$\displaystyle \angle A$$
Complete the correspondence statement:
$$\displaystyle \Delta GHK\cong $$____.

435578_944b9dabb21b4e3aa004e2c6f03a5c24.PNG
  • $$\displaystyle \Delta GTK$$
  • $$\displaystyle \Delta KTG$$
  • $$\displaystyle \Delta GKT$$
  • $$\displaystyle \Delta TGK$$
Identify the largest angle of the triangle.

458492_6989318b20924d9898cbaf539c9c2907.png
  • A
  • B
  • C
  • D
$$AD$$ 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
  • $$x = 20$$
  • $$x = 30$$
  • $$x = 40$$
  • $$x = 50$$
What is the largest angle of the triangle?

458494_da49f7f3da494c6187922e477e5e7e70.png
  • X
  • Y
  • Z
  • P
In triangle $$PQR$$, an exterior angle at $$A$$ measures $$160^o$$, and $$\angle$$ $$Q = 70 ^o$$. Which is the longest side of the triangle?

458504_6726257570234a639e010e1e9e5adb71.png
  • $$\overline{PR}$$
  • $$\overline{PA}$$
  • $$\overline{PQ}$$
  • $$\overline{QR}$$
$$\displaystyle \Delta BAC\cong \Delta DEC,AB\parallel DE$$, 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
Identify the largest side of the triangle. If the angles are given as:
$$\angle A = 50 ^o$$, $$\angle B = 10^o$$ and $$\angle C = 22^o$$

458495_c9caa348f3124e939e095fe4d3bbba80.png
  • $$\overline{AB}$$
  • $$\overline{BC}$$
  • $$\overline{CA}$$
  • $$\overline{AC}$$
Which condition will prove these triangles as congruent?

458776.PNG
  • SSS
  • AAS
  • SAS
  • ASA
If $$\Delta ABC$$ and $$\Delta DEF$$ are congruent, then find the value of $$x$$ and $$y$$.

458748.png
  • $$x = 40, y = 60$$
  • $$x = 30, y = 60$$
  • $$x = 60, y = 60$$
  • $$x = 60, y = 40$$
In $$\displaystyle \Delta XYZ$$, side $$\displaystyle \overline { XZ } $$ is longer than side $$\displaystyle \overline { YZ } $$, which of the following statements is true?
484341_dd142c83136c492fa0abfb888cc03086.png
  • The measure of $$\displaystyle \angle X$$ is always less than the measure of $$\displaystyle \angle Y$$.
  • The measure of $$\displaystyle \angle X$$ is always equal than the measure of $$\displaystyle \angle Y$$.
  • The measure of $$\displaystyle \angle X$$ is always greater than the measure of $$\displaystyle \angle Y$$.
  • The measure of $$\displaystyle \angle X$$ is sometimes less than the measure of $$\displaystyle \angle Y$$ and sometimes equal to the measure of $$\displaystyle \angle Y$$.
  • The measure of $$\displaystyle \angle X$$ is sometimes greater than the measure of $$\displaystyle \angle Y$$ and sometimes equal to the measure of $$\displaystyle \angle Y$$.
In $$\triangle ABC$$, if $$\angle A = 45^{\circ}$$ and $$\angle B = 70^{\circ}$$, find the shortest and the largest sides of the triangle respectively
  • $$AB, BC$$
  • $$BC, AC$$
  • $$AB, AC$$
  • Either (A) or (C)
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