ABHYAS | Self Learning | Testing Platform

Q.1

In the following figure, AB = AC and DB = DC. Then which of the following is true?

A.

$angle BAC=angle ABC$

B.

$angle ABC=angle ACB$

C.

$angle ABC=angle ACB$

D.

none of these

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Q.2

In the following figure, AB = AC, D is the point in the interior of $bigtriangleup ABC$ such that $angle DBC=angle DCB$ . Then which of the following statement is true?

A.

DC = DB

B.

AB = BC

C.

DA = DB

D.

none of these

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Q.3

If DC = SR, AC = PR, then $bigtriangleup ADCcong bigtriangleup PSR$ by which criteria?

A.

SAS

B.

RHS

C.

SSS

D.

AAS

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Q.4

In the above figure, If $angle DAC=angle CAB$ , then which of the following is true?

A.

DC = BC

B.

AC = AD

C.

DC = AD

D.

None of these

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Q.5

In the above figure, $angle A =angle C$ , then which of the following is true?

A.

BC = AC

B.

BC = AB

C.

AC =AB

D.

None of these

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Q.6

$bigtriangleup ABC$ is an isosceles triangle with AB = AC. Side BA is produced to D such that AB = AD. Then which of the following is true?

A.

$angle ACB=angle ABC$

B.

$angle ACD=angle ADC$

C.

Both A and B

D.

none of these

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Q.7

In $Delta ABC,: AB=3cm, : BC=4cm: : and : : AC=5cm$ and in $Delta PQR,angle Q=90^o,$ hypotenuse and perpendicular are 5 cm and 3 cm, respectively. State whether the triangles are congruent. If yes, by which property are they congruent ?