Question

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

Answer 1

Answer:

Step-by-step explanation:

TO PROVE : Δ NLM $\sim$ ΔELF

i) ∠NLM  = ∠ELF      ( Common angle )

ii) $\frac{LN}{LE} = \frac{LM}{LF} = \frac{40}{16} = \frac{45}{18} =\frac{5}{2}$       (∴ EF ║ NM )

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

HENCE PROVED

Answer 2

Answer:

Step-by-step 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