Question

24. Complete the two-column proof.

Given: ∠2 and ∠5 are supplementary
Prove:

Answer 1

Statements Reasons
1. _____________ 1. _____________
2. ∠ 3 ∠ 2 2. _____________
3. ∠ 3 and ∠ 5 are supplementary 3. _____________
4. _____________ 4. _____________

Answer 2

You always always always start with what you are given

so your first statement is just repeating what is given, which is "∠2 and ∠5 are supplementary"

silly i know, but it's important

the reason is "given"

Answer 3

angles 2 and 3 are vertical angles, so that's the reason for line 2 (vertical angles are congruent)

Answer 4

so because < 2 = < 3, we can replace '<2' with '<3' to say

< 3 and < 5 are supplementary, so the reason behind line 3 is "substitution"

Answer 5

I'll let you do the ones in line 4

Answer 6

I dont know how to do like 4 :( I knew like 3 thats all

Answer 7

the last line of any proof is always the thing you want to prove...this is ALWAYS true

what do we want to prove?

Answer 8

you want to prove what you first stateD? wait no thats wrong haha

Answer 9

at the top, it says "given..." and "prove..."

what's after the "prove" part?

Answer 10

uhh...idk :(

Answer 11

well i can't read it (cause it's not showing up), so you're going to have to tell me what it is

Answer 12

on my end, i see "Prove: " but it's blank after the "prove", so idk what's there

Answer 13

its a graph lol
it looks like this