Question

So I got a bad grade on assignment for geometry and I've been given the opportunity to take a re do assignment. I've done most of it but there is just one that i can't figure out, please help(i'm writing it down below now)

Answer 1

Here is the thing, I have to feel out a proof.

Answer 2

What's it over

Answer 3

Please allow me to type it out :)

Answer 4

Given: ∠ 2 ≅ ∠ 8
Prove: ∠ 6 ≅ ∠ 4
Statements Reasons

1. ∠ 2 ≅ ∠ 8 1. ___________________________

2. ∠ 2 ≅ ∠ 6 2. ___________________________

3. ∠ 6 ≅ ∠ 8 3. ___________________________

4. ∠ 8 ≅ ∠ 4 4. ___________________________

5. ∠ 6 ≅ ∠ 4

Answer 5

So I have about three of the five filled out.

Answer 6

1. Given 2.Vertical angles are congruent and 4. Vertical angles are congruent

Answer 7

The reasoning for step 3 is "substitution"

we know that `∠ 2 ≅ ∠ 8 ` from line 1
we also know `∠ 2 ≅ ∠ 6` from line 2
angle 2 is equal to angle 8 and angle 6, so we can substitute to get `∠ 6 ≅ ∠ 8`

Answer 8

it's kinda like saying

y = x
y = 2

so x = 2 because we can replace the first 'y' with '2'

Answer 9

That's what I thought but the choices given are:
1.Definition of Congruent Segments
2.Definition of a linear pair
3.Reflexive Property
4.Symmetric Property
5.Transitive Property

Answer 10

`Transitive Property`

if x = y and y = z, then x = z

notice how x points to y, then y points to z
so to make a shortcut, x ultimately points to z

Answer 11

you "transition" from one variable to another making connections

Answer 12

the `Transitive Property` and the `Substitution Property` are very similar ideas in terms of how things are connected

Answer 13

I thought about that. Because my thought was that transitive meant that if this equals that, then this equals this because that equals that.. sorry I knowconfusing but I thought both were that

Answer 14

the two properties are very similar that they're basically the same (more or less)

Answer 15

so yeah you have the right idea about it

Answer 16

So both of these would be transitive property right? I mean, both of the ones I have empty, to me it makes sense they would be that one

Answer 17

you mean reason 3 and reason 5 ?

Answer 18

Yes :)

Answer 19

I agree

Answer 20

Thank you very much, this has helped me a ton :)

Answer 21

I'm glad it makes sense now