In Figure, ` A B C` is an isosceles triangle with `A B=A C\ a n d\ m\ /_A B C=50^0dot` Find `m\ /_B D C\ a n d\ /_B E C`

Let A B C be an isosceles triangle with A B=A C and let D ,\ E ,\ F be the mid points of B C ,\ C A\ a n d\ A B respectively. Show that A D_|_F E\ a n d\ A D is bisected by F E

In Figure, A B C D is a parallelogram in which /_D A O=40^0, /_B A O=35^0 a n d /_C O D=65^0dot Find: /_A B O (ii) /_O D C (iii) /_A C B (iv) /_C B D

A B C D is a cyclic quadrilateral in which: B C A D ,\ /_A D C=110^0\ a n d\ /_B A C=50^0dot Find /_D A C /_D B C=80^0\ a n d\ /_B A C=40^0dot Find /_B C D /_B C D=100^0a n d\ /_A B D=70^0 find /_A D B

If A B C is an isosceles triangle such that A B=A C and A D is an altitude from A on B C . Prove that (i) /_B=/_C (ii) A D bisects B C (iii) A D bisects /_A

In Fig. 4.124, E is a point on side C B produced of an isosceles triangle A B C with A B=A C . If A D_|_B C and E F_|_A C , prove that (i) A B D E C F (ii) A BxxE F=A DxxE C . (FIGURE)

In Figure, A B C D is a rectangle in which diagonal A C is produced to Edot If /_E C D=146^0, find /_A O B

Fill in the blanks in the following so that each of the following statements is true Sides opposite to equal angles of a triangle are ....... Angle opposite to equal sides of a triangle are ....... In an opposite to equal sides of a triangle are ....... In a A B C if /_A=/_C , then A B= ..... If altitudes C E a n d B F of a triangle A B C are equal, then A B= ........ 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 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 ~= ....

A B C is an isosceles triangle such that A B=A C a n d A D is the median to base B C . Then, /_B A D= 55^0 (b) 70^0 (c) 35^0 (d) 110^0

In Fig. 71, if A B C D\ a n d\ C D E F ,\ find \ /_A C E

In Figure, A B C is a right triangle right angled at A ,\ B C E D ,\ A C F G\ a n d\ A M N are square on the sides B C ,\ C A\ a n d\ A B respectively. Line segment A X\ _|_D E meets B C at Ydot Show that: a r\ (B Y X D)=a r\ (A B M N)