Question 1 :
If in two triangles $\Delta ABC$ and $\Delta PQR$, $AB = QR, BC = PR$ and $CA = PQ,$ then :<br/>

Question 2 :
State true or false:<br/>In parallelogram&#160;$&#160;ABCD&#160;$.$&#160;E&#160;$&#160;and&#160;$&#160;F $&#160;are mid-points of the sides&#160;$&#160;AB&#160;$&#160;and&#160;$&#160;CD&#160;$&#160;respectively. The line&#160;segments&#160;$&#160;AF&#160;$&#160;and&#160;$&#160;BF&#160;$&#160;meet the line segments&#160;$&#160;ED&#160;$&#160;and &#160;$&#160;EC&#160;$&#160;at points&#160;$&#160;G&#160;$&#160;and&#160;$&#160;H&#160;$&#160;respectively, then$&#160;GEHF&#160;$&#160; is a parallelogram.&#160;

Question 3 :
It is given that $\triangle ABC\cong \triangle FDE$ and $AB=\,5cm$, $\angle B={ 40 }^{ 0 }$ and $\angle A={ 80 }^{ 0 }$. Then which of the following is true?

Question 4 :
If a line through one vertex of a triangle divides the opposite sides in the ratio of other two sides, then the line bisects the angle at the vertex.<br/><br/>

Question 5 :
If in two triangles $PQR$ and $DEF$, $PR=\,EF$, $QR=\,DE$ and $PQ=\,FD$, then&#160;&#160;$\triangle PQR\cong$ $\triangle$ ___.

Question 6 :
In $\triangle ABC$ and $\triangle DEF$, $AB = FD$ and $\angle A = \angle D.$ The two triangles will be congruent by $SAS$ axiom, if:<br/>

Question 7 :
For&#160;$\displaystyle \Delta ABC$ and&#160;$\displaystyle \Delta PQR$, $AB=PQ, AC=PR,$ and&#160;$\displaystyle \angle A=\angle P,$ then:

Question 8 :
If the diagonal BD of a quadrilateral ABCD bisects both $\angle B$ and $\angle D$ then,<br/>AB$=$AD<br/><br/>

Question 9 :
The internal bisector of an angle of a triangle divides the opposite side internally in the ratio of the sides containing the angle.<br/><br/><br/><br/>

Question 10 :
For&#160;$\displaystyle \Delta ABC$ and&#160;$\displaystyle \Delta DEF$,&#160;$\displaystyle \angle B=\angle D,\angle C=\angle F$ and $BC=DF$. Therefore which of the following is correct?

Question 11 :
In $\displaystyle \Delta DEF, \angle D={ 87 }^{ o }$ and $ \angle F={ 43 }^{ o }$ . If&#160;$\displaystyle \Delta DEF\cong \Delta BAC$,&#160;then find the measure of $\displaystyle \angle A$.

Question 12 :
<p class="wysiwyg-text-align-left">By which congruency are the following pair of triangles congruent:<br/></p><p class="wysiwyg-text-align-left">In $\Delta\,ABC$ and $\Delta \,DEF$, $\angle\,B = \angle\,E = 90\,^{\circ}, AC = DF$ and $BC = EF.$</p>

Question 13 :
Which of the following condition even if satisfied, does not make the two triangles congruent?

Question 14 :
In $\bigtriangleup ABC and&#160;\bigtriangleup QRP, AB =QR,\angle B=\angle R\:and \: \angle C=\angle P.$ By A.S.A, $\triangle ABC$ and $\triangle QRP$ are similar

Question 15 :
Consider the following statements relating to the congruency of two right triangles.<br/>(1) Equality of two sides of one triangle with any two sides of the second makes the triangle congruent.<br/>(2) Equality of the hypotenuse and a side of one triangle with the hypotenuse and a side of the second respectively makes the triangle congruent.<br/>(3) 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.<br/>Of these statements: