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 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.

Triangles A B C\ a n d\ D B C\ have side B C common, A B=B D\ a n d\ A C=C Ddot Are the two triangles congruent? State in symbolic form. Which congruence condition do you use? Does \ /_\ A B D\ e q u a l\ /_\ A C D ? Why or why not?

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 a triangle \ A B C , If L\ a n d\ M are points on A B\ a n d\ A C respectively such that L M || B C . Prove that: a r\ (triangle \ L O B)=a r\ (triangle \ M O C)

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 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?

DeltaA B C is isosceles with A B=A Cdot Also. A D_|_B C meeting B C in Ddot Are the two triangles A B D\ a n d\ A C D congruent? State in symbolic form. Which congruence condition do you use? Which side of A D C equals B D ? Which angle of DeltaA D C equals /_B ?

In Figure A B D C\ a n d\ A D B Cdot Prove that /_D A B=\ /_D C B

In a rectangle A B C D , prove that A C B~= C A Ddot

In Figure, A B C\ a n d\ D B C are two isosceles triangles on the same base B C such that A B=A C\ a n d\ D B=C Ddot Prove that /_A B D=\ /_A C D