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