Question Text
Question 1 :
In an acute angled triangle $ ABC $, the internal bisector of angle $ A $ meets base $ BC $ at point $ D $. $ DE  \perp  AB $ and $ DF \perp AC $; then the traingle $ AEF $ is an isosceles triangle
Question 2 :
If $\triangle$ $ABC$ $\cong$ $\triangle$ $PRQ$, then $\angle$ $B$ and $PQ$ are respectively equal to
Question 3 :
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 5 :
When two triangles have corresponding sides equal in length, then the twotriangles are congruent.
Question 6 :
<p class="wysiwyg-text-align-left">ABCD is a parallelogram. The sides AB and AD are produced to E and F respectively, such that AB = BE and AD = DF.</p><p class="wysiwyg-text-align-left">Hence  $\Delta\,BEC\,\cong\,\Delta\,DCF$.</p><p class="wysiwyg-text-align-left"><b>State whether the above statement is true or false.</b></p>
Question 7 :
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 8 :
In $\Delta ABC$, AB = AC and AD is perpendicularto BC. State the property by which $\Delta ADB\, \cong\,\Delta ADC$.
Question 9 :
If three angles of two triangles are equal, triangles are congruent.
Question 10 :
If $\triangle ABC\cong \triangle PQR$, $\angle B={ 40 }^{ 0 }$ and $\angle C={ 95 }^{ 0 }$, find $\angle P$.