Question

Prove theorem 6.4 class 10

Answer 1

Answer :

Hey Mate,

SSS similarity Triangle : The two triangles are equal or similar , when the corresponding sides of two triangles are proportional .

#Refer the attachment for the figure.

1. AB/DE = AC/DF
2. DP/DE = DP/DF          (#As AB = DP and AC = DQ. By substitution)
3. PQ | | EF                 (#By converse of basic proportionality theorem)
4. ∠ DPQ = ∠ E & ∠ DQP = ∠ F         (#Corresponding angles)
5. ΔDPQ ~ ΔDEF                    (#By AA similarity)
6. DP/DE = PQ/EF                 (#By definition of similar triangles)
7. AB/DE = PQ/EF                (#DP = AB by substitution)
8. PQ/EF = BC/EF                  (#From (1) (6) and (7))
9. PQ = BC                             (#From (8))
10. ABC ≅ ΔDPQ                  (#By SSS )
11. ΔABC ~ ΔDEF                  (#From (5) and (10))

Answer 2

Answer:

Step-by-step explanation:

REFER to the photos given below and don't FORGET to mark me as BRAINLIEST:)