A) S.A.S. property
B) S.S.S. property
C) R.H.S. property
D) A.S.A, property
View Answer play_arrowA) They should be drawn with a scale.
B) They should be drawn on the same sheet of paper.
C) They should have different lengths.
D) They should have the same length.
View Answer play_arrowquestion_answer3) In the given figure, if \[AD=BC\] and \[AD||BC,\]which of the following is true?
A) \[AB=AD\]
B) \[AB=DC\]
C) \[BC=CD\]
D) \[AC=AD\]
View Answer play_arrowA) S.S.S. property
B) S.A.S. property
C) A.S.A. property
D) R.H.S. property
View Answer play_arrowA: 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. |
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. |
A) A is false and R is the correct explanation of A.
B) A is true and R is the correct explanation of A.
C) A is true and R is false.
D) A is false and R is true.
View Answer play_arrowA) \[\Delta PQR\] is smaller than \[\Delta DFE\].
B) \[\Delta PQR\] is larger than \[\Delta DFE\].
C) \[\Delta PQR\] is congruent to \[\Delta DFE\].
D) \[\Delta PQR\] is not congruent to \[\Delta DFE\].
View Answer play_arrowquestion_answer7) Which of the following examines the congruence of plane figures?
A) Trial and error method
B) Superposition method
C) Substitution method
D) Transposition method
View Answer play_arrowquestion_answer8) Which of the following is a pair of congruent figures?
A) A regular pentagon and a regular hexagon.
B) A rhombus and a square.
C) Two equilateral triangles of the same length of their sides.
D) A quadrilateral and a rectangle.
View Answer play_arrowA)
PQ | QR | RP |
x cm | y cm | z cm |
B)
PQ | QR | RP |
y cm | x cm | z cm |
C)
PQ | QR | RP |
x cm | z cm | y cm |
D)
PQ | QR | RP |
z cm | x cm | y cm |
A) \[\angle ADB=\angle CDB,\angle ABD=\angle CBD;\,\,BD=BD\]
B) \[AD=AB,\text{ }DC=CB,\text{ }BD=BD\]
C) \[AB=CD,AD=BC,BD=BD\]
D) \[\angle ADB=\angle CDB,\angle ABD=\angle CBD;\,\,\angle DAB=\angle DBC\]
View Answer play_arrowA) \[\Delta ABC\] and \[\Delta \,CBD\] are isosceles triangles.
B) BD bisects \[\angle ADC\]
C) BD bisects \[\angle BAD\]
D) \[\Delta ABC\] and \[\Delta CBD\] are equilateral triangles.
View Answer play_arrowA) \[\Delta ADB\cong \Delta ABC\]
B) \[\Delta ADC\cong \Delta ABC\]
C) \[\angle B=\angle C\]
D) \[\angle ABC=\angle CAB\]
View Answer play_arrowA) R.H.S. property
B) S.S.S. property
C) S.A.S. property
D) A.S.A. property
View Answer play_arrowA) TR and PE
B) AR and PEA
C) AT and EN
D) AR and PN
View Answer play_arrowA) \[AB=EF,\text{ }\angle B=\angle E\] and \[\angle C=\angle F\]
B) \[BC=EF,\text{ }\angle B=\angle E\] and \[\angle C=\angle F\]
C) \[AC=EF,\text{ }\angle B=\angle D\] and \[\angle C=\angle F\]
D) \[AC=DE,\text{ }\angle B=\angle D\] and \[\angle C=\angle F\]
View Answer play_arrowA) The measure of AB.
B) The measure of CD.
C) The measure of BC.
D) \[AC=BD\]
View Answer play_arrowquestion_answer17) Which of the following criterion does not exist?
A) A.S.A. criterion
B) R.H.S. criterion
C) A.A.A. criterion
D) S.S.S. criterion
View Answer play_arrowA) One triangle is an enlarged copy of other.
B) The two triangles are necessarily congruent.
C) The two triangles are congruent by A.A.A. congruency criterion.
D) All of the above.
View Answer play_arrowDirection: \[\Delta ABC\] is congruent to \[\Delta PQR\] under the correspondence \[ABC\overset{{}}{\longleftrightarrow}RQP\]. |
A) \[\overline{CB}\]
B) \[\overline{AC}\]
C) \[\overline{QR}\]
D) \[\overline{AB}\]
View Answer play_arrowDirection: \[\Delta ABC\] is congruent to \[\Delta PQR\] under the correspondence \[ABC\overset{{}}{\longleftrightarrow}RQP\]. |
A) \[\overline{AB}\]
B) \[\overline{AC}\]
C) \[\overline{CA}\]
D) \[\overline{BC}\]
View Answer play_arrowA) \[{{80}^{o}},{{60}^{o}}\]
B) \[{{60}^{o}},{{40}^{o}}\]
C) \[{{80}^{o}},{{40}^{o}}\]
D) \[{{60}^{o}},{{80}^{o}}\]
View Answer play_arrowA) \[10,\,3\]
B) \[10,\,8\]
C) \[8,\,3\]
D) \[3,\,10\]
View Answer play_arrowquestion_answer23) \[\Delta ABC\cong \Delta FDE\] What is the measure of \[\angle F\]?
A) \[{{70}^{o}}\]
B) \[{{50}^{o}}\]
C) \[{{130}^{o}}\]
D) \[{{60}^{o}}\]
View Answer play_arrowA) \[\angle QPR=\angle PRS\]
B) \[\angle RPS=\angle RQP\]
C) \[\angle QRP=\angle SRP\]
D) \[\overline{PR}=\overline{RS}\]
View Answer play_arrowA) \[\angle OBA=\angle OCA\]
B) \[\angle AOC=\angle OCA\]
C) \[AO=AC\]
D) \[AB=OC\]
View Answer play_arrowA) \[\Delta ABF\cong \Delta EDF\]
B) \[\Delta FDC\cong \Delta FCB\]
C) \[\Delta ABF\cong \Delta FBC\]
D) \[\Delta FDC\cong \Delta BCF\]
View Answer play_arrowA) S.S.S. condition
B) S.A.S. condition
C) R.H.S. condition
D) A.S.A. condition.
View Answer play_arrowquestion_answer28) Given \[AB||CD\] and AB = CD, which of the following is correct?
A) \[\Delta AOB\cong \Delta DOC\]
B) \[\Delta AOB\cong \Delta ODC\]
C) \[\Delta BOA\cong \Delta DOC\]
D) \[\Delta BAO\cong \Delta COD\]
View Answer play_arrowA) \[\Delta ADC\cong \Delta ADB\]
B) \[\Delta ADB\cancel{\cong }\Delta ADB\]
C) \[\Delta ADB\cong \Delta ABC\]
D) \[\Delta ABC\cong \Delta ADC\]
View Answer play_arrowA) A.S.A.
B) S.S.S.
C) S.A.S.
D) R.H.S.
View Answer play_arrowA) \[\angle CAE=\angle BAD\]
B) \[\Delta ACE=\Delta ABD\]
C) \[\Delta AEC=\Delta ABD\]
D) \[BE=DC\]
View Answer play_arrowA) R.H.S.
B) S.A.S.
C) S.S.S.
D) A.S.A.
View Answer play_arrowquestion_answer33) Given \[\Delta XYZ\] and \[\Delta LMN.\] Choose the correct statement.
A) \[\Delta XYZ\cong \Delta LMN\]
B) \[YZ=LM\]
C) \[XY=MN\]
D) \[XZ=LM\]
View Answer play_arrowquestion_answer34) Identify the incorrect statement.
A) The corresponding sides of congruent triangles are equal.
B) The corresponding angles of congruent triangles are equal.
C) Two triangles cannot be congruent.
D) There are four congruency conditions for congruence of triangles.
View Answer play_arrowA) S.S.S. property
B) S.A.S. property
C) A.S.A. property
D) R.H.S. property
View Answer play_arrowA) S.S.S. property
B) S.A.S. property
C) A.S.A. property
D) R.H.S. property
View Answer play_arrowA) \[\angle ABC=\angle PQR,\] \[a=p,\,\,c=r\]
B) \[\angle CAB=\angle RPQ,\angle ABC=\angle PQR,c=r\]
C) \[b=q,\,\,\angle CAB=\angle RPQ,\,\,a=p\]
D) \[a=p,\,c=r,\,\angle ABC=\angle PQR\]
View Answer play_arrowquestion_answer38) Which of the following are congruent?
A) Two Rs. 1 coins
B) A Rs. 1 coin and a Rs. 2 coin
C) A Rs. 2 coin and a Rs. 5 coin
D) A Rs. 5 coin and a Rs. 10 coin
View Answer play_arrowquestion_answer39) Which of the following is important in congruence of triangles?
A) Naming the angles of the triangles using capital letters.
B) Measures of angles in degrees.
C) The order of letters of the triangles.
D) Exact length of the sides of the triangles.
View Answer play_arrowquestion_answer40) In the figure given, which of the following statements is true?
A) \[\Delta QPR\cong \Delta SPR\]
B) \[\Delta PSR\cong \Delta RQP\]
C) \[\Delta PRS\cong \Delta QPR\]
D) \[\Delta QRP\cong \Delta PSR\]
View Answer play_arrowA) The triangles are small.
B) The triangles are congruent.
C) The triangles are equilateral.
D) The triangles are equiangular.
View Answer play_arrowA) \[\Delta ABC:\angle B={{50}^{o}},BC=5cm,\] and \[AB=7cm.\] \[\Delta DEF:\angle E={{50}^{0}},EF=7cm,\]and\[DE=5cm.\]
B) \[\Delta ABC:BC=6cm,\] \[AC=4\,\,cm\] and \[\angle B={{35}^{o}}\] \[\Delta DEF:DF=4\,cm,\] \[EF=6\,cm\] and \[\angle D={{55}^{o}}\]
C) \[\Delta ABC:AB=4.5cm,\]\[AC=4cm\]and\[\angle A={{60}^{o}}\] \[\Delta DEF:DE=4cm,FD=4.5cm\]and\[\angle D={{55}^{o}}\]
D) Either [b] or [c]
View Answer play_arrowA) \[\Delta ABC\cong \Delta ADC\]
B) \[\Delta ABD\cong \Delta ACD\]
C) \[\Delta ADB\cong \Delta ACD\]
D) \[\Delta ADC\cong \Delta ABD\]
View Answer play_arrowquestion_answer44) Are triangles in the given figure congruent by R.H.S. condition?
A) Yes
B) Insufficient data
C) No
D) Either [b] or [c]
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