Question

IMAGE ATTACHING PLEASE HELP (GEOMETRY ) 100 POINTS
COMPLETE THE FOLLOWING PROOF

Answer 1

Explanation:

3 - the reason given is substitution, so substitute in the appropriate values to get LF + 27 = 45

5 - reason given is ratio of corresponding sides so set up a proportion to get LE/LN = LF/LM = 16/40 = 18/45

6 - reason given is simplify ratios, so do that to get 2/5 = 2/5

8 - the reason is SAS because of the ratio of corresponding sides and reflective property

Answer 2

Explanation:

TO PROVE : Δ NLM
`\sim` ΔELF

i) ∠NLM = ∠ELF ( Common angle )

ii)
`(LN)/(LE) = (LM)/(LF) = (40)/(16) = (45)/(18) =(5)/(2)` (∴ EF ║ NM )

iii) ∠LNM = ∠LEF ( ∵ EF ║ NM & corresponding angle )

HENCE PROVED