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

Question 2 :
<p class="wysiwyg-text-align-left">By which congruency are the following pairs of triangles congruent:</p><p class="wysiwyg-text-align-left">In $\Delta\,ABC$ and $\Delta PQR$, $AB=PQ$, $BC=QR$ and $AC=PR$</p>

Question 3 :
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 5 :
If $\Delta ABC \cong \DeltaDEF$ by SSS congruence rule then :

Question 6 :
If hypotenuse and an acute angle of one right triangle are equal to the hypotenuse and an acute angle of another right triangle, then the triangles are congruent.

Question 7 :
If the two sides and the ____ angle of one triangle are respectively equal to two sides and the included angle of the other triangle, then the triangles are congruent.

Question 8 :
<p class="wysiwyg-text-align-left">ABCD is a parallelogram. The sides AB and AD are produced to E&#160;and F respectively, such that AB = BE and AD = DF.</p><p class="wysiwyg-text-align-left">Hence&#160; $\Delta\,BEC\,\cong\,\Delta\,DCF$.</p><p class="wysiwyg-text-align-left"><b>State whether the above statement is true or false.</b></p>

Question 9 :
If $\triangle ABC\cong \triangle PQR$, $\angle B={ 40 }^{ 0 }$ and $\angle C={ 95 }^{ 0 }$, find $\angle P$.

Question 10 :
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 12 :
<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 13 :
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 14 :
State true or false:Two equilateral triangles of side&#160;$4\&#160;cm$ each but labeled as $\triangle&#160;ABC$ and $\triangle&#160;LHN$ are not congruent.

Question 15 :
In a triangle $ABC$, $\angle A={ 40 }^{ o }$ and $AB=AC$, then $ABC$ is ............ triangle.

Question 16 :
When two triangles have corresponding sides equal in length, then the twotriangles are congruent.

Question 17 :
If two corresponding sides and the angle between them of a triangle are equal to another triangle. Then the angles are :

Question 18 :
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 19 :
Which of the following statements is CORRECT?<br>Statement-1 : 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.<br>Statement-2 : 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.

Question 20 :
State true or false:<br/>If two sides and an angle of a triangle are respectively equal to two sides and an angle of another triangle the two triangles are congruent.&#160;

Question 22 :
In $\triangle ABC$ and $\triangle DEF$, $\angle B=\angle E,AB=DE,BC=EF$. The two triangles are congruent under ............. axiom.

Question 23 :
<p class="wysiwyg-text-align-left">&#160;State the congruency of following pairs of triangles.</p><p class="wysiwyg-text-align-left">In $\Delta\,ABC$ and $\Delta PQR $, $BC = QR, $&#160;$\angle\,A\,=\,90^{\circ}, \, \angle \,C \,=\,\angle R = 40^{\circ} $ and $ \angle\, Q \,=\,50^{\circ}$.</p>

Question 24 :
If two legs of a right triangle are equal to two legs of another right triangle. then the right triangles are congruent.