Question Text
Question 1 :
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 2 :
If $\triangle$ $ABC$ $\cong$ $\triangle$ $PRQ$, then $\angle$ $B$ and $PQ$ are respectively equal to
Question 3 :
In $\Delta ABC$, AB = AC and AD is perpendicularto BC. State the property by which $\Delta ADB\, \cong\,\Delta ADC$.
Question 4 :
If two sides and one angle of a triangle are equal to the two sides and angle of another triangle, then the two triangles are congruent.
Question 5 :
If two legs of a right triangle are equal to two legs of another right triangle. then the right triangles are congruent.
Question 7 :
If in two triangles $\Delta ABC$ and $\Delta PQR$, $AB = QR, BC = PR$ and $CA = PQ,$ then :<br/>
Question 8 :
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 9 :
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 10 :
In $\displaystyle \Delta DEF, \angle D={ 87 }^{ o }$ and $ \angle F={ 43 }^{ o }$ . If $\displaystyle \Delta DEF\cong \Delta BAC$, then find the measure of $\displaystyle \angle A$.