In two congruent triangles `A B C\ a n d\ D E F ,` if `A B=D E\ a n d\ B C=E Fdot` Name the pairs of equal angles.

In two triangles A B C\ a n d\ A D C , if A B=A D\ a n d\ B C=C Ddot Are they congruent?

In two triangles A B C\ a n d\ D E F , it is given that /_A=/_D ,\ /_B=/_E and /_C=/_Fdot Are the two triangles necessarily congruent?

In Figure, If A B || C D\ a n d\ C D\ || E F , Find /_A C E .

In Figure, A D\ a n d\ B E are medians of A B C\ a n d\ B E||D F . Prove that C F=1/4A C .

Fill in the blanks in the following so that each of the following statements is true. (i) Sides opposite to equal angles of a triangle are ....... (ii) Angle opposite to equal sides of a triangle are ....... (iii) In an equilateral triangle all angles are ....... (iv) In a A B C if /_A=/_C , then A B=\ ..... (v) If altitudes C E\ a n d\ B F of a triangle A B C are equal, then A B= ........ (vi) In an isosceles triangle A B C with A B=A C , if B D\ a n d\ C E are its altitudes, then B D is .......... C E . (vii) In right triangles A B C\ a n d\ D E F , if hypotenuse A B=E F and side A C=D E , then A B C\ ~= ....

In Figure, A C=A E ,\ A B=A D\ a n d\ /_B A D=/_E A Cdot Prove that B C=D E

If A B C and DEF are two triangles such that A B C\ ~= F D E\ a n d\ A B=5c m ,\ /_B=40^0\ a n d\ /_A=80^0dot Then, which of the following is true? (a)D F=5c m ,\ /_F=60^0 (b) D E=5c m ,\ /_E=60^0 (c)D F=5\ c m ,\ /_E=60^0 (d) D E=5c m ,\ /_D=40^0

In triangle A B C\ a n d\ C D E , if A C=C E ,\ B C=C D ,\ /_A=60^0,\ /_C=30^0\ a n d\ /_D=90^0dot Are two triangle congruent?

A D ,\ B E\ a n d\ C F , the altitudes of A B C are equal. Prove that A B C is an equilateral triangle.

A D ,\ B E\ a n d\ C F , the altitudes of A B C are equal. Prove that A B C is an equilateral triangle.