In Fig.38, `A X` bisects`/_B A C` as well as`/_B D Cdot` State the three facts needed to ensure that`DeltaA B D~=DeltaA C D`

In Fig.37, A D bisects /_A and A D_|_ B Cdot IsDeltaA D B~=DeltaA D C ? State the three pairs of matching parts you have used in (i) Is it true to say that B D=D C ?

In figure, if DeltaA B E~=DeltaA C D , show that DeltaA D E~ DeltaA B C .

In quadrilateral ACBD, A C\ =\ A D and AB bisects /_A (see Fig. 7.16). Show that DeltaA B C~=DeltaA B D

InDeltaA B C , it is known that/_B=/_Cdot Imagine you have another copy ofDeltaA B C IsDeltaA B C~=DeltaA C B State the three pairs of matching parts you have used to answer (i). Is it true to say that A B=A C ?

In Figure, two chords AB and CD intersect each other at the point P. Prove that: (i) DeltaA P C~ DeltaD P B (ii) A P*P B=C P*D P

DeltaA B C and DeltaD B C are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC (see Fig. 7.39). If AD is extended to intersect BC at P, show that (i) \ DeltaA B D~=DeltaA C D (ii) DeltaA B P~=DeltaACP (iii) AP bisects ∠ A as well as ∠ D (iv) AP is the perpendicular bisector of BC

In Figure altitudes AD and CE of DABC intersect each other at the point P. Show that:(i) DeltaA E P~ DeltaC D P (ii) DeltaA B D ~DeltaC B E (iii) DeltaA E P~ DeltaA D B (iv) DeltaP D C ~DeltaB E C

In figure ABC and AMP are two right triangles, right angles at B and M respectively. Prove that(i) DeltaA B C~ DeltaA M P (ii) (C A)/(P A)=(B C)/(M P)

DeltaA B C is isosceles with A B=A Cdot A D is the altitude from A on B Cdot Is DeltaA B D~=DeltaA C D ? State the pairs of matching parts you have used to answer (i). Is it true to say that B D= D C ?

In Fig.31, A B=A D\ a n d\ /_B A C=/_D A C State in symbolic form the congruence of two triangles ABC and ADC that is true. Complete each of the following, so as to make it true: /_\ A B C /_\ A C D Line segment bisects ____ and _____