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question_answer1)
Two students drew a line segment each. What is the condition for them to be congruent?
A)
They should be drawn with a scale. done
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B)
They should be drawn on the same sheet of paper. done
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C)
They should have different lengths. done
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D)
They should have the same length. done
clear
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question_answer2)
In \[\Delta ABC\], AB=AC and AD is perpendicular to BC. State the property by which\[\Delta ADB\cong \Delta ADC\].
A)
S.A.S. property done
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B)
S.S.S. property done
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C)
R.H.S. property done
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D)
A.S.A. property done
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question_answer3)
The given figure shows \[\Delta ABC\] & \[\Delta DBC,\] \[AB=DB\]and \[CA=CD\]
What is the measure of \[\angle DBC\]?
A)
\[115{}^\circ \] done
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B)
\[100{}^\circ \] done
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C)
\[150{}^\circ \] done
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D)
\[155{}^\circ \] done
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question_answer4)
In the given figure \[PQ||RS\]
What is the value of \[(PR+QS)\]?
A)
\[21\,cm\] done
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B)
\[28\,cm\] done
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C)
\[25\,cm\] done
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D)
\[31\,cm\] done
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question_answer5)
In the given figure, \[\Delta \,ABC\] is congruent to \[\Delta \,PQR\].
What is the value of \[(m+2n+3p)\]
A)
8 done
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B)
10 done
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C)
17 done
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D)
19 done
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question_answer6)
The given figure shows \[\Delta \,ABC\] with equal altitudes BE and CF.
What is the perimeter of \[\Delta \,ABC\]?
A)
19 cm done
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B)
21 cm done
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C)
24 cm done
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D)
25 cm done
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question_answer7)
In the given figure, if \[AD=BC\] and \[AD||BC\]which of the following is true?
A)
\[AB=AD\] done
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B)
\[AB=DC\] done
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C)
\[BC=CD\] done
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D)
\[AC=AD\] done
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question_answer8)
Which of the following is a pair of congruent figures?
A)
A regular pentagon and a regular hexagon. done
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B)
A rhombus and a square. done
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C)
Two equilateral triangles of the same length of their sides. done
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D)
A quadrilateral and a rectangle. done
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question_answer9)
Two triangles, \[\Delta PQR\] and \[\Delta XYZ\] are of the same size and shape. What can we conclude about them?
A)
\[\Delta PQR\] is smaller than \[\Delta XYZ\] done
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B)
\[\Delta PQR\] is larger than \[\Delta XYZ\] done
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C)
\[\Delta PQR\]is congruent to \[\Delta XYZ\] done
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D)
\[\Delta PQR\] is not congruent to \[\Delta XYZ\] done
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question_answer10)
Which of the following examines the congruence of plane figures?
A)
Trial and error method done
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B)
Superposition method done
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C)
Substitution method done
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D)
Transposition method done
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question_answer11)
Student A: 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. |
Student R: Two triangles are congruent if two sides and the included angle of one are equal to the corresponding two sides and included angle of the other. |
Given A & R, which of the following statements is correct?
A)
A is false and R is the correct explanation of A. done
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B)
A is true and R is the correct explanation of A. done
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C)
A is true and R is false. done
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D)
A is false and R is true. done
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question_answer12)
In the given figure, AC is equal to BD.
What is the measure of \[\angle CAD\]?
A)
\[20{}^\circ \] done
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B)
\[25{}^\circ \] done
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C)
\[35{}^\circ \] done
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D)
\[60{}^\circ \] done
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question_answer13)
The given figure shows \[\Delta ABC\] and \[\Delta PQR\] with \[AB=QR\]. |
|
What is the value of \[(AB+5BC+3AC+2RP-3PQ-QR)\]?
A)
60 done
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B)
55 done
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C)
70 done
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D)
25 done
clear
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question_answer14)
In \[\Delta ABC,\] \[AB=AC\] and AD is perpendicular to BC. The property by which \[\Delta ADB\] is 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_answer15)
If the given two Ales arc congruent, then what is true?
A)
\[AB=DE\] done
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B)
AC=DF done
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C)
\[BC=DF\] done
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D)
\[AB=DF\] done
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question_answer16)
In this given figure, \[PS=SR\] and \[PQ=QR\]. Which of the following is the correct conclusion?
A)
\[\Delta PQR\] and \[\Delta RQS\] are isosceles triangle. done
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B)
QS bisects \[\angle PSR\]. done
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C)
QS bisects \[\angle QPS\] done
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D)
\[\Delta \,PQR\] and \[\Delta \,RQS\] are equilateral triangles. done
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question_answer17)
In the given figure, \[AB=AC\] and AD is the bisector of \[\angle BAC\].
Which among the following statements is true?
A)
\[\Delta ADB\,\cong \,\Delta ABC\] done
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B)
\[\Delta ADC\,\cong \,\Delta ABC\] done
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C)
\[\angle B=\angle C\] done
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D)
\[\angle ABC=\angle CAB\] done
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question_answer18)
Which of the following is an example of A.S.A. criterion of congruency for two triangles \[\Delta ABC\] and \[\Delta DEF\]?
A)
\[AB=EF,\text{ }\angle B=\angle E\] and \[\angle C=\angle F\] done
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B)
\[BC=EF,\text{ }\angle B=\angle E\] and \[\angle C=\angle F\] done
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C)
\[AC=EF,\text{ }\angle B=\angle D\] and \[\angle C=\angle F\] done
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D)
\[AC=DE,\text{ }\angle B=\angle D\] and \[\angle C=\angle F\] done
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question_answer19)
State the property by which \[\Delta ADB\cong \Delta ADC,\]where AD is angle bisector of \[\angle BAC\].
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)
ASA property done
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question_answer20)
In the given figure if \[AD=BC\] and \[AD||BC,\] then
A)
\[AB=AD\] done
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B)
\[AB=DC\] done
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C)
\[BC=CD\] done
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D)
\[AD=CD\] done
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question_answer21)
In \[\Delta PQR,\text{ }PS\bot QR,\text{ }\angle Q=\angle R\]. State by which property \[\Delta PSQ=\cong \Delta PSR\]?
A)
SAS property done
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B)
ASA property done
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C)
RHS property done
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D)
All i.e. (a), (b) and (c) done
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question_answer22)
Which type of triangle is formed by \[BC=7.2\text{ }cm,\] \[AC=6\text{ }cm\] and \[\angle C=120{}^\circ \]?
A)
An acute angled triangle. done
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B)
An obtuse angled triangle. done
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C)
A right angled triangle. done
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D)
An isosceles triangle. done
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question_answer23)
In the given figure, line PRT is parallel to SQN. If \[RS=8\text{ }cm\] what is the length of RO?
A)
7 cm done
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B)
3 cm done
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C)
4 cm done
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D)
6 cm done
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question_answer24)
In the given figure, \[\Delta ABC\] and \[\Delta ADE\] are isosceles triangles with \[AB=AC\] and \[AD=AE\]. |
If \[CE=2\text{ }cm\] and \[DE=6\text{ }cm,\]then what is the length of side BC? |
|
A)
\[8\text{ }cm\] done
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B)
\[\text{9 }cm\] done
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C)
\[\text{10 }cm\] done
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D)
\[\text{1 }cm\] done
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question_answer25)
In \[\Delta ABC\] and \[\Delta DEF,\] \[AC=DF,\text{ }AB=EF\] and \[BC=DE\]. By which property are \[\Delta ABC\]and \[\Delta \,le\] (formed by three points D, E & F) congruent?
A)
R.H.S property done
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B)
S.S.S. property done
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C)
S.A.S. property done
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D)
A.S.A. property done
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question_answer26)
In \[\Delta \,ABC\] and \[\Delta \,ADE\] If \[AC=EF,\text{ }AB=DF\] and \[BC=DE,\] what is the correct way of writing congruency?
A)
\[\Delta ABC\cong \Delta DBF\] done
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B)
\[\Delta ACB\cong \Delta DEF\] done
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C)
\[\Delta ACB\cong \Delta DFE\] done
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D)
\[\Delta ABC\cong \Delta FDE\] done
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question_answer27)
If we apply Pythagoras theorem, R.H.S. property of congruency may be seen to be same as:
A)
SSS property done
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B)
AAA property done
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C)
ASA property done
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D)
None of above done
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question_answer28)
Which of the following criterion does not exist in the field of congruency of triangles.
A)
A.S.A. criterion done
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B)
R.H.S. criterion done
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C)
A.A.A. criterion done
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D)
S.S.S. criterion done
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question_answer29)
In two triangles, the three angles of one triangle are correspondingly equal to three angles of another triangle. Which of the following is a correct statement?
A)
One triangle is an enlarged copy of other done
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B)
The two triangles are necessarily congruent. done
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C)
The two triangle are congruent by A.A.A. congruency criterion. done
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D)
All of the above. done
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question_answer30)
\[\Delta ABC\] is congruent to \[\Delta XYZ\]. Find the measures of \[\angle x\] and \[\angle y\] respectively.
A)
\[65{}^\circ ,\text{ }75{}^\circ \] done
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B)
\[75{}^\circ ,40{}^\circ \] done
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C)
\[75{}^\circ ,\text{ }65{}^\circ \] done
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D)
\[55{}^\circ ,\text{ }45{}^\circ \] done
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question_answer31)
\[\Delta \,ABC\cong \Delta FDE\] What is the measure of \[\angle F\]?
A)
\[50{}^\circ \] done
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B)
\[60{}^\circ \] done
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C)
\[80{}^\circ \] done
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D)
\[75{}^\circ \] done
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question_answer32)
In the figure, \[PQ=PS\] and \[QR=SR\]. If \[\Delta PQR\] is congruent to \[\Delta PSR,\] which of the following is correct?
A)
\[\angle QPR=\angle PRS\] done
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B)
\[\angle RPS=\angle RQP\] done
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C)
\[\angle QRP=\angle SRP\] done
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D)
\[\overline{PR}=\overline{RS}\] done
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question_answer33)
AB and AC are two chords of a circle with centre O as shown.
If \[\Delta AOB\] is congruent to \[\Delta AOC,\] which of the following is correct?
A)
\[\angle OBA=\angle OCA\] done
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B)
\[\angle AOC=\angle OCA\] done
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C)
\[AO=AC\] done
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D)
\[AB=OC\] done
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question_answer34)
A regular hexagon is divided into four triangles as shown below:
What of the following is correct?
A)
\[\Delta PQU\cong \Delta TSU\] done
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B)
\[\Delta USR\cong \Delta RUQ\] done
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C)
\[\Delta PQU\cong \Delta UQR\] done
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D)
\[\Delta USR\cong \Delta QRU\] done
clear
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question_answer35)
In the given figure, \[\angle PQU=\angle RSV\]
What is the perimeter of \[\Delta PQT\]?
A)
28 units done
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B)
39 units done
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C)
33 units done
clear
D)
31 units done
clear
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question_answer36)
In the given figure,
\[AB||CD\] and \[AD||BC\] If the perimeter of \[\Delta ABD=30\text{ }cm,\]then what is the perimeter of quadrilateral ABCD?
A)
25 cm done
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B)
30 cm done
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C)
35 cm done
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D)
50 cm done
clear
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question_answer37)
In the given figure of a field, PQR and RST are right- angled at Q and S respectively. The measure of the sides are given (See figure)
What type of a triangle is \[\Delta PRT\]?
A)
Isosceles triangle done
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B)
Equilateral triangle done
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C)
Scalene right - angled triangle done
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D)
Right - angled isosceles triangle. done
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question_answer38)
In the given figure (not to scale) \[AB=CD\] and \[BC=DE\]
What type of a triangle is \[\Delta ACE\]?
A)
Isosceles triangle done
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B)
Equilateral triangle done
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C)
Scalene right - angled triangle done
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D)
Right - angled isosceles triangle done
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question_answer39)
In the given figure of a hockey field, \[\Delta ABC\] is congruent to \[\Delta PQR\].
If \[PC=200\text{ }cm,\]and \[AP=CR\] then what is the length of AR?
A)
150 metres done
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B)
300 metres done
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C)
470 metres done
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D)
500 metres done
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question_answer40)
Which of the following is important in congruence of triangles?
A)
Naming the angles of the triangles using capital letters done
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B)
Measures of angles in degrees. done
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C)
The order of letters of the triangles. done
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D)
Exact length of the sides of the \[\Delta le\]. done
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