Question 1 :
If three angles of two triangles are equal, triangles are congruent.

Question 2 :
<p class="wysiwyg-text-align-left">In the parallelogram ABCD, the angles A and C are obtuse.&#160;Points X and Y are taken on the diagonal BD such that the angles XAD and YCB&#160;are right angles.</p><p class="wysiwyg-text-align-left">Prove that: XA = YC.</p><p class="wysiwyg-text-align-left"><b>State whether the above statement is true or false.</b></p>

Question 3 :
Assertion : If the hypotenuse and an acute angle of one right triangle is equal to the hypotenuse and corresponding acute angle of another right triangle, then those two $\Delta$s are congruent.Reason : By RHS property, the two right $\Delta$s are congruent.Which of the following statements is correct?<br/>

Question 4 :
If $\triangle$ $ABC$ $\cong$ $\triangle$ $PRQ$, then $\angle$ $B$ and $PQ$ are respectively equal to

Question 6 :
In an acute angled triangle $ ABC $, the internal bisector of angle $ A $&#160;meets base $ BC $&#160;at point $&#160;D $.&#160;$&#160;DE &#160;\perp &#160;AB&#160;$ and&#160;$&#160;DF \perp AC&#160;$; then the traingle $&#160;AEF&#160;$&#160;is an isosceles triangle

Question 7 :
If two angles and a side of a triangle are equal to two angles and a side of another triangle, then the triangles are congruent.

Question 8 :
Assertion: 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. Reason: Two triangles are congruent if two sides and the included angle of the one must be equal to the corresponding two sides and included angle of the other.<br>Which of the following options hold?

Question 10 :
In a triangle $ABC$, $\angle A={ 40 }^{ o }$ and $AB=AC$, then $ABC$ is ............ triangle.

Question 11 :
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:

Question 12 :
If the diagonal BD of a quadrilateral ABCD bisects both $\angle B$ and $\angle D$ then,<br/>AB$=$AD<br/><br/>

Question 13 :
If in two triangles $PQR$ and $DEF$, $PR=\,EF$, $QR=\,DE$ and $PQ=\,FD$, then&#160;&#160;$\triangle PQR\cong$ $\triangle$ ___.

Question 14 :
<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 15 :
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 17 :
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 18 :
If in two triangles $\Delta ABC$ and $\Delta PQR$, $AB = QR, BC = PR$ and $CA = PQ,$ then :<br/>

Question 19 :
In $\Delta ABC$, D is a point on BC such that AB = AD = BD = DC. <b>then</b><br/>$\angle ADC\, :\, \angle C\, =\, 4\, : \, 1$<br/><b>State whether the above statement is true or false.</b><br/>

Question 20 :
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?