Example 2
In figure 2.21 seg. MN @
seg. MO , seg. PN @ seg. PO, prove that
Ð MNP @
ÐMOP.
Figure 2.21
Solution :
Draw segment MP
In triangle MNP and MOP
seg. MN @ seg.MO
seg. PN @ seg. PO
seg. MP @ seg. MP
\ D MNP @ D MOP ...(S S S
Postulate)
\ Ð MNP @ Ð MOP ....(as
they are corresponding angles of congruent triangles .)
Example 3
In figure 2.22 H and G are two points on congruent
sides DE & DF of D DEF such that
seg. DH @ seg. DG. Prove that seg. HF
@ seg. GE.
Figure 2.22
Solution :
In triangles DHF and DGE seg. DF @
seg. DE
Ð HDF @ Ð
GDE ( same angle )
seg. DH @ seg. DG
\ D DHF @ D DGE S
A S postulate
\ seg. HF @ seg.
GE as they are corresponding sides of congruent triangles.
