question_answer 1)
Which of the following statements is INCORRECT?
A)
Two triangles having same area are congruent. done
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B)
If two sides and one angle of a triangle are equal to the corresponding two sides and the angle of another triangle, then the two triangles are congruent. done
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C)
If the hypotenuse of one right angled triangle is equal to the hypotenuse of another right angled triangle, then the triangles are congruent. done
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D)
All of these done
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question_answer 2)
In \[\Delta ABC,\text{ }AB=AC\]and AD is perpendicular bisector of BC. The property by which \[\Delta ADB\] is not congruent to \[\Delta ADC\] is ____.
A)
SAS property done
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B)
SSS property done
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C)
RHS property done
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D)
AAA property done
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question_answer 3)
In the given figure, \[PA\bot AB,\text{ }QB\bot AB\]and \[\Delta OAP=\Delta OBQ,\]then
A)
\[PA=OB\] done
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B)
\[AP=QB\] done
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C)
\[OP=BQ\] done
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D)
\[OA=OQ\] done
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question_answer 4)
In the given figure, triangles ABC and DCB are right angled at A and D respectively and \[AC=DB,\]then \[\Delta ABC\cong \Delta DCB\] by _____ criterion.
A)
AAA done
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B)
SAS done
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C)
ASS done
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D)
None of these done
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question_answer 5)
In the given figure, ABC is an isosceles triangle in which\[AB=AC\]. If E and F be the midpoints of AC and AB respectively, then BE is equal to ____.
A)
CF done
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B)
AB done
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C)
CE done
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D)
BF done
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question_answer 6)
If you want to prove that \[\Delta FED\cong \Delta RQP\] using the SAS criterion where \[\angle D=\angle P,\] then:
A)
FD = QP done
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B)
QP = ED done
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C)
FD = RP done
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D)
Both (b) and (c) done
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question_answer 7)
Which congruence criterion can be used to conclude\[\Delta XYZ=\Delta QPR\]?
A)
SAS done
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B)
SSS done
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C)
RHS done
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D)
None of these done
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question_answer 8)
If\[\Delta AOC\cong \Delta ODB,\]. then measure of \[\angle ODB\] is
A)
\[{{100}^{o}}\] done
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B)
\[{{50}^{o}}\] done
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C)
\[{{80}^{o}}\] done
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D)
None of these done
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question_answer 9)
If \[\Delta ABC\cong \Delta PRQ,\] then \[\angle B\] and PQ are respectively equal to
A)
\[\angle P\] and AC done
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B)
\[\angle P\] and BC done
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C)
\[\angle R\] and AC done
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D)
\[\angle Q\] and AB done
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question_answer 10)
In the given figure, if \[AB=AD\]and \[CB=CD,\]then
A)
\[\Delta ABC\cong \Delta ADC\] done
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B)
\[\Delta BCA=\Delta DCA\] done
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C)
\[\Delta ADC=\Delta ABC\] done
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D)
All of these done
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question_answer 11)
In the given figure, if \[\Delta OAP=\Delta OBQ,\]then which of the following is NOT true?
A)
AO = BO done
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B)
AP = SO done
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C)
PO = BO done
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D)
\[\angle APO=\angle BQO\] done
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question_answer 12)
\[\Delta PQR\cong \Delta XYZ\]by ____congruency rule.
A)
SSS done
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B)
AAA done
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C)
SAS done
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D)
ASA done
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question_answer 13)
Which congruence criterion can be used to state that\[\Delta XOY=\text{ }\Delta POQ\]?
A)
ASA done
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B)
SAS done
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C)
SSS done
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D)
RHS done
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question_answer 14)
DIRECTION: Study the figure and information given below carefully and answer the following questions. CF and AE are equal perpendiculars on BD, BF = FE = ED.
\[\Delta \,ABE\] is congruent to
A)
\[\Delta \,AED\] done
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B)
\[\Delta \,BFC\] done
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C)
\[\Delta \,CDF\] done
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D)
\[\Delta \,BCD\] done
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question_answer 15)
DIRECTION: Study the figure and information given below carefully and answer the following questions. CF and AE are equal perpendiculars on BD, BF = FE = ED.
\[\angle BAE=\] ..................
A)
\[\angle BCD\] done
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B)
\[\angle CBA\] done
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C)
\[\angle ADC\] done
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D)
\[\angle DCF\] done
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question_answer 16)
Select the odd one out.
A)
B)
C)
D)
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question_answer 17)
If for \[\Delta ABC\]and \[\Delta DEF,\]the correspondence \[CAB\leftrightarrow EDF\]gives a congruence, then which of the following is NOT true?
A)
AC = DE done
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B)
AB = EF done
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C)
\[\angle A=\angle D\] done
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D)
\[\angle C=\angle E\] done
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question_answer 18)
By which congruency criterion, \[\Delta PQR\cong \Delta PQS\]?
A)
RHS done
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B)
ASA done
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C)
SSS done
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D)
SAS done
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question_answer 19)
In two triangles PQR and LMN, PQ = QR\[\angle P=\angle M\]and QR = LN,, then which of the following statements is CORRECT?
A)
Triangles are congruent only done
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B)
Triangles are isosceles only done
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C)
Triangles are both congruent and isosceles done
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D)
None of these done
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question_answer 20)
In the given figure, If PR - QR, \[\angle SRP=\angle TRQ\]and \[\angle SQP=\angle TPO,\]then
A)
\[\Delta SQR\cong \Delta PTR\]& \[SR=TR\] done
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B)
\[\Delta SOR\cong \Delta TPR\]& \[SR=TR\] done
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C)
\[\Delta RQS\cong \Delta TPR\]& \[SR=TR\] done
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D)
\[\Delta QRS\cong \Delta PRT\] & \[SR=RT\] done
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question_answer 21)
Ananya is designing the window shown in the figure. She wants to make \[\Delta PRQ\]congruent to \[\Delta PRS.\]She designs the window so that\[PR\bot QS\]. Which of the following conditions will make the two triangles congruent?
A)
RQ = RS done
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B)
PQ = PS done
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C)
Both (a) and (b) done
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D)
None of these done
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question_answer 22)
Two satellites are being launched such that their distance while moving in their respective orbits, are equal from Earth and Moon.
Which of the following statements is/are true?
A)
Figure X is not congruent to figure Y. done
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B)
\[\angle 1\] and \[\angle 2\] are not equal. done
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C)
Both (a) and (b) done
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D)
None of these done
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question_answer 23)
Akira gave a problem to her sister Kiara. However, Kiara got stuck. Help Kiara identify whether the triangles are congruent and choose the correct option.
A)
Yes, \[\Delta ABC\cong \Delta DCE\] done
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B)
No, they are not congruent done
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C)
Yes. \[\Delta DCE\cong \Delta CAB\] done
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D)
Yes, \[\Delta DEC\cong \Delta CAB\] done
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question_answer 24)
Three students Pia, Sia and Tia wrote a statement on a blackboard. Pia wrote, "All rectangles are congruent". Sia wrote, "All equilateral triangles are congruent". Tia wrote, "All right angled triangles are congruent". Who wrote the INCORRECT statement?
A)
Pia done
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B)
Sia done
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C)
Tia done
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D)
All of them done
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question_answer 25)
Tiara wants to know the width of the given river. While doing so, she stands on the edge of the river and look straight across to a point on the other edge without changing the inclination of the neck and head. She turns side ways until the vision is in line with a point on the side of the stream. From the above description, find the value of QR.
A)
25 units done
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B)
12 units done
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C)
15 units done
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D)
Can't be determined done
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question_answer 26)
A)
(i)\[\to \](b), (ii)\[\to \](d), (iii)\[\to \](a), (iv)\[\to \](c) done
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B)
(i)\[\to \](c), (ii)\[\to \](a), (iii)\[\to \](b), (iv)\[\to \](d) done
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C)
(i)\[\to \](b), (ii)\[\to \](c), (iii)\[\to \](a), (iv)\[\to \](d) done
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D)
(i)\[\to \](a), (ii)\[\to \](c), (iii)\[\to \](b), (iv)\[\to \](d) done
clear
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question_answer 27)
Which of the following statements is CORRECT? Statement-1: Two triangles are said to be congruent. If two sides and an angle of one triangle are respectively equal to the two sides and an angle of the other. Statement-2: Two triangles are congruent if two sides and the included angle of the one must be equal to the corresponding two sides and included angle of the other.
A)
Only Statement-1 done
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B)
Only Statement-2 done
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C)
Both Statement-1 and Statement-2 done
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D)
Neither Statement-1 nor Statement-2 done
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question_answer 28)
Which of the following statements is CORRECT?
A)
In an isosceles triangle, the angles opposite to equal sides are equal. done
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B)
The bisector of the vertical angle of an isosceles triangle bisects the base at right angles. done
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C)
If the hypotenuse and an acute angle of one right angled triangle is equal to the hypotenuse and the corresponding acute angle of another triangle, then the triangles are congruent. done
clear
D)
All of these done
clear
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question_answer 29)
Which of the following pair of triangles are congruent by RHS criterion?
A)
(i) and (ii) done
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B)
(iii) and (iv) done
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C)
(i) and (iii) done
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D)
(ii) and (iv) done
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question_answer 30)
State T for true and 'F' for false.
1. To examine the congruency of plane figures, the superposition method is used. 2. If two line segments have different lengths, they are congruent. 3. The measure of two congruent angles is the same. 4. Object which are exact copies of one another are called plane objects. 5. If the corresponding angles of two triangles are equal, the triangles are said to be congruent.
A)
B)
C)
D)
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