Question

PLEASE HELP ME IM HORRIBLE AT THIS
Part A:
If ∠D is a right angle and lines PN, FG, and BD are parallel to each other, prove
trianlge SPN ~ triangle SFG ~ triangle SBD .
Statement Reason
1. 𝑃𝑁̅̅̅̅ ∥ 𝐹𝐺̅̅̅̅ ∥ 𝐵𝐷̅̅̅̅
2. ∠𝐷, ∠𝑆𝐺𝐹, and ∠𝑆𝑁𝑃 are
corresponding angles
3. 𝑚∠𝐷 = 𝑚∠𝑆𝐺𝐹 = 𝑚∠𝑆𝑁𝑃
4. ∠𝐵, ∠𝑆𝐹𝐺, and ∠𝑆𝑃𝑁 are
corresponding angles
5. 𝑚∠𝐵 = 𝑚∠𝑆𝐹𝐺 = 𝑚∠𝑆𝑁𝑃
6. ∆ 𝑆𝑃𝑁 ~ ∆𝑆𝐹𝐺 ~∆𝑆𝐵𝐷

Answer 1

is there a figure aka image?

Answer 2

yes yes ill post it rn

Answer 3

proofs are hard ;)

Answer 4

i know i dont understand them at all

Answer 5

do you think you could help?

Answer 6

yes

Answer 7

just a minute

Answer 8

thanks!

Answer 9

first statement is a given

Answer 10

U see why?

Answer 11

because they told us that those lines are parallel in the question?

Answer 12

yes

Answer 13

ok now how do we figure out the others?

Answer 14

not sure abt 2

Answer 15

3 is corresponding angles are congruent

Answer 16

5 is the same

Answer 17

6 is AA similarity postulate

Answer 18

dude thanks so much

Answer 19

what about 4?

Answer 20

4 and 2 are the same. it is probably something obvious

Answer 21

its not given is it?

Answer 22

no

Answer 23

im sorry im really bad at these. i have no idea what it could be

Answer 24

ah i think I know what it is. Definition of Cooresponding angles

Answer 25

I am not 100% sure though

Answer 26

as long as youre like 75% sure thats fine with me lol

Answer 27

I am 85% sure. Good bye then ;)

Answer 28

thanks!!