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question_answer1)
In the given figures, \[\Delta DEF\cong \Delta KJI.\]
What is the measure of\[\overline{FD}?\]
A)
\[\overline{JI}\] done
clear
B)
\[\overline{KJ}\] done
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C)
\[\overline{EF}\] done
clear
D)
\[\overline{KI}\] done
clear
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question_answer2)
If\[\Delta ABC=\Delta LMN,\]identify the angle that corresponds to\[\angle A.\]
A)
\[\angle L\] done
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B)
\[\angle B\] done
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C)
\[\angle N\] done
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D)
\[\angle M\] done
clear
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question_answer3)
From the given figure, which of the following is correct?
A)
\[\Delta PQR\cong \Delta PQS\] done
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B)
\[\Delta PQR\cong \Delta QPS\] done
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C)
\[\Delta PQR\cong \Delta SQP\] done
clear
D)
\[\Delta PQR\cong \Delta SPQ\] done
clear
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question_answer4)
By which congruence rule are the two triangles in the given figure congruent?
A)
R.H.S done
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B)
S.A.S done
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C)
A.S.A done
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D)
S.S.S done
clear
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question_answer5)
\[\Delta BDC\cong \Delta MLK.\]
Which of the following is correct?
A)
\[DB=MK;\,\angle D=\angle M,\angle C=LK\] done
clear
B)
\[BC=MK;\,\angle D=\angle L,DC=LK\] done
clear
C)
\[\angle A=\angle M;BD=ML;\angle C=\angle L\] done
clear
D)
\[DB=MK;DC=\angle K;\angle B=ML\] done
clear
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question_answer6)
By which congruency condition are the two triangles in the given figure congruent?
A)
S.S.S. done
clear
B)
R.H.S done
clear
C)
S.A.S done
clear
D)
A.S.A done
clear
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question_answer7)
If \[\Delta KLM\]and\[\Delta OPQ\]are equilateral triangles and KL = OP, find the condition under which \[\Delta KLM\cong \Delta OPQ.\]
A)
A.S.A. done
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B)
R.H.S done
clear
C)
S.S.S. done
clear
D)
S.A.S. done
clear
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question_answer8)
\[\Delta ABC\cong \Delta DFE\]by S.A.S. congruence criterion, Which one of the following is not a matching part?
A)
AB = DF done
clear
B)
\[\angle ABC=\angle DFE\] done
clear
C)
AC = DE done
clear
D)
BC = DE done
clear
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question_answer9)
In the given figure, \[\Delta UVW\cong \Delta XYW\](by S.A.S. rule.)
What is the value ?m??
A)
\[15{}^\circ \]
done
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B)
\[20{}^\circ \] done
clear
C)
\[30{}^\circ \] done
clear
D)
\[40{}^\circ \] done
clear
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question_answer10)
In the figure, AE = AD. Which additional piece of information (matching part) is needed to prove \[\Delta AEF\cong \Delta ADB\]by A.S.A.?
A)
\[\angle ABD=\angle ACE\] done
clear
B)
\[\angle AEC=\angle ADB\] done
clear
C)
BD = CE done
clear
D)
AB = AC done
clear
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question_answer11)
In congruence triangles KLM and XYZ, three equality relations between some corresponding parts are \[KL=YX,\angle L=\angle Y\]and\[\angle M=\angle Z.\] By which congruence condition are the triangles congruent?
A)
R.H.S. done
clear
B)
S.S.S. done
clear
C)
S.A.S. done
clear
D)
A.S.A. done
clear
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question_answer12)
In the given isosceles \[\Delta ABC, AB=AC. AD\bot BC.\]
By which congruence condition\[\Delta ABD\cong \Delta ACD?\]
A)
S.S.S. done
clear
B)
R.H.S. done
clear
C)
S.A.S. done
clear
D)
A.S.A. done
clear
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question_answer13)
Identify the correct words that fill the blank. Two circles with equal radii are____.
A)
congruent done
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B)
not congruent done
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C)
not similar done
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D)
similar done
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question_answer14)
If\[\Delta PQR\cong \Delta XYZ,\]find the value of m.
A)
\[7{}^\circ \]
done
clear
B)
\[96{}^\circ \] done
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C)
\[100{}^\circ \] done
clear
D)
\[60{}^\circ \] done
clear
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question_answer15)
Consider the following statements. (i) Equality of two sides of one triangle with any two sides of the second makes the triangle congruent. (ii) Equality of the hypotenuse and a side of one triangle with the hypotenuse and a side of the second respectively makes the triangles congruent. (iii) Equality of the hypotenuse and an acute angle of one triangle with the hypotenuse and an angle of the second respectively makes the triangle congruent. Which of the statement are correct?
A)
(i), (ii) and (iii) are correct done
clear
B)
(i) and (ii) are correct done
clear
C)
(i) and (ii) done
clear
D)
(ii) and (iii) done
clear
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question_answer16)
By which congruency criteria are the two triangles in the given figure congruent?
A)
S.A.S. done
clear
B)
R.H.S. done
clear
C)
A.S.A. done
clear
D)
S.S.S. done
clear
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question_answer17)
In the adjacent figure,\[\overline{DA}\bot \overline{AB},\overline{CB}\bot \overline{AB}\]and AC = BD.
Which of the following statements is true?
A)
\[\Delta ABC\cong \Delta BAD\] done
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B)
\[\Delta ABC\cong \Delta ABD\] done
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C)
\[\Delta ABC\equiv /\Delta BAD\] done
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D)
\[\Delta ABC\ne \Delta ABD\] done
clear
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question_answer18)
In the figure, \[\Delta ABC\]is similar to \[\Delta XYZ,AB=4\,cm,XY=6cm,\]\[YZ=5\,cm\]and \[\angle XYZ={{113}^{o}}.\]Find\[\angle ABC\]and the length of BC.
A)
\[{{113}^{o}},2\frac{1}{3}\] done
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B)
\[{{113}^{o}},3\frac{1}{3}\] done
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C)
\[{{113}^{o}},4\frac{1}{3}\] done
clear
D)
\[{{113}^{o}},5\frac{1}{3}\] done
clear
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question_answer19)
In the diagram, \[\Delta ABC\]is congruent to \[\Delta PQR.\]Find the respective values of\[\angle x\]and \[\angle y.\]
A)
\[{{80}^{o}},{{50}^{o}}\] done
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B)
\[{{70}^{o}},{{50}^{o}}\] done
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C)
\[{{80}^{o}},{{60}^{o}}\] done
clear
D)
\[{{70}^{o}},{{40}^{o}}\] done
clear
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question_answer20)
In the figure, given that AB = CF, EF = BD and \[\angle AFE=\angle DBC,\]by which congruence is\[\Delta AFE\cong \Delta CBD?\]
A)
S.S.S. done
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B)
S.A.S. done
clear
C)
A.S.A. done
clear
D)
R.H.S. done
clear
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question_answer21)
In the following figure, \[\angle DAC={{30}^{o}},\angle ABC=\angle ADC={{95}^{o}}\]and \[\angle BCA={{55}^{o}}.\]if the area of \[\Delta ACD\]is \[30\,sq.\,cm,\]what is the area of \[\Delta ABC?\]
A)
30 sq. cm done
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B)
15 sq. cm done
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C)
45 sq. cm done
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D)
60 sq. cm done
clear
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question_answer22)
In the given figure \[\overline{BC}||\overline{EF},BC=EF\]and \[DF=AC.\]which of the following congruency axiom (s) is/are suitable to prove that \[\Delta BCA\cong \Delta EFD?\]
A)
S.S.S. done
clear
B)
S.A.S. done
clear
C)
R.H.S. done
clear
D)
All of these done
clear
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question_answer23)
Vani wants to prove that \[\Delta FGH\cong \Delta JKL\]using R.H.S. congruency rule. She knows that FG = JK and FH = JL. What additional piece of information does she need?
A)
\[\angle H=\angle K={{90}^{o}}\] done
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B)
\[\angle F=\angle G={{90}^{o}}\] done
clear
C)
\[\angle G=\angle K={{90}^{o}}\] done
clear
D)
\[\angle F=\angle J={{90}^{o}}\] done
clear
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question_answer24)
If \[\Delta NKL\cong \Delta LMN,\]find the value of \[x.\]
A)
\[45{}^\circ ~\] done
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B)
\[32{}^\circ ~\] done
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C)
\[48{}^\circ ~\] done
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D)
\[60{}^\circ ~\] done
clear
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question_answer25)
ACBD is a quadrilateral in which AC = AD and AB is the angle bisector of\[\angle CAD.\]By which congruence rule is congruence\[\Delta ACB\cong \Delta ADB?\]
A)
S.S.S. done
clear
B)
R.H.S. done
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C)
S.A.S. done
clear
D)
A.S.A. done
clear
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question_answer26)
In the adjacent figure, C is the mid point of AB, \[\angle CAD=\angle CBE\]and \[\angle ACE=\angle BCD.\]
By which congruency condition\[\Delta DAC\cong \Delta EBC?\]
A)
R.H.S. done
clear
B)
S.S.S. done
clear
C)
S.A.S. done
clear
D)
A.S.A. done
clear
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question_answer27)
If \[\Delta XYZ\]and \[\Delta STU\]are to be congruent by A.S.A identify the additional information needed.
A)
\[\angle S=\angle Y\] done
clear
B)
\[\overline{XZ}=\overline{SU}\] done
clear
C)
\[\angle XYZ=\angle STU\] done
clear
D)
\[\overline{YZ}=\overline{TU}\] done
clear
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question_answer28)
Which triangle is not congruent to the other three
A)
B)
C)
D)
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question_answer29)
If \[\Delta ABC\cong \Delta PQR\]and \[\Delta ABC\]is not congruent to \[\Delta RPQ,\]which of the following is not true?
A)
\[BC=PQ\] done
clear
B)
\[AC=PR\] done
clear
C)
\[AB=PQ\] done
clear
D)
\[QR=BC\] done
clear
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question_answer30)
If\[\Delta ABC\cong \Delta PRQ,\]identify the corresponding angle and side equal to \[\angle B\]and side \[PQ.\]
A)
\[\angle P\]and AC done
clear
B)
\[\angle R\]and BC done
clear
C)
\[\angle R\]and AC done
clear
D)
\[\angle Q\]and AB done
clear
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question_answer31)
Consider the following statements. (i) If three sides of a triangle are equal to three sides of another triangle, then the triangles are congruent. (ii) If three angles of a triangle are respectively equal to three angles of another triangle, then the two triangles are congruent. Of these two statements, which of the following is correct?
A)
(i) is true and (ii) is false. done
clear
B)
Both (i) and (ii) are false. done
clear
C)
Both (i) and (ii) are true. done
clear
D)
(i) is false and (ii) is true. done
clear
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question_answer32)
Identify the property by which \[\Delta ADB\cong \Delta ADC\]in the following figure.
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
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question_answer33)
In the given figure, AB = CD and AD = BC.
Which of the following congruency rules is suitable to prove that \[\Delta BCA\cong \Delta DAC?\]
A)
S.S.S. done
clear
B)
R.H.S. done
clear
C)
S.A.S. done
clear
D)
A.S.A. done
clear
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question_answer34)
In the given figure, it is given that ML = MN, QM = MR, \[ML\bot PQ\]and\[MN\bot PR.\]
Which of the following congruency rules is suitable to prove that\[PQ=PR?\]
A)
S.A.S. done
clear
B)
A.A.A. done
clear
C)
R.A.S. done
clear
D)
S.S.S. done
clear
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question_answer35)
How many congruent trapeziums are there in the given figure?
A)
8 done
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B)
16 done
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C)
12 done
clear
D)
21 done
clear
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question_answer36)
A: If the hypotenuse and an acute angle of one right triangle is equal to the hypotenuse and corresponding acute angle of another right triangle, those two triangles are congruent. R: Two right angles are congruent by R.H.S. property. Which of the following statements is true?
A)
A is true and R is the correct explanation of A. done
clear
B)
A is false and R is not the correct explanation of A. done
clear
C)
A is false and R is false. done
clear
D)
A is false and R is true. done
clear
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question_answer37)
By which congruence condition are the two triangles in the given figure congruent?
A)
S.A.S. done
clear
B)
R.H.S. done
clear
C)
S.S.S. done
clear
D)
A.S.A. done
clear
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question_answer38)
Which triangle is not congruent to the other three?
A)
B)
C)
D)
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question_answer39)
How many triangles are congruent to A ABE in the given figure?
A)
8 done
clear
B)
9 done
clear
C)
7 done
clear
D)
16 done
clear
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