Question

Given to

BE
EC
Prove: AB || DE
A
D
3
C
1
2
E
B
Complete the steps of the proof.

Answer 1

B and C

Explanation:

got it right lol

Answer 2

Explanation:

Given:

`(AD)/(DC)=(BE)/(EC)`

To Prove:

AB║DE

Solution:

Since, corresponding sides of ΔACB and ΔDCE are proportional,

`(AD)/(DC)=(BE)/(EC)`

Both the triangles will be similar.

ΔACB ~ ΔDCE [By SAS property of similarity]

Therefore, ∠1 ≅ 2 [CPCTC]

Since, ∠1 and ∠2 are the corresponding angles

Therefore, AB║DE [Converse of corresponding angles theorem]