Question

Given:
triangle DEF
DF = EF

Prove:
<3 = <4

https://media.glynlyon.com/g_geo_2013/4/page46a.gif

https://media.glynlyon.com/g_geo_2013/4/page46b.gif

Which of the following statements would be the reason in line 4 of the proof?

Two ∠'s supplementary to equal ∠'s are =
Substitution

Answer 1

@Juicstice

Answer 2

@Phebe

Answer 3

use the isocles triangle properties

Answer 4

Two ∠'s supplementary to equal ∠'s are = ?

Answer 5

@_Michaeld22

Answer 6

@dan815

Answer 7

im here my bad im late cuz i wasn't on . do u still need help

Answer 8

yep @Phebe

Answer 9

ok

Answer 10

with what

Answer 11

@hhelpplzzzz

Answer 12

Angle 3 and angle 4 are equivalent because the triangle is clearly an equilateral triangle. This means that every angle inside the triangle is equivalent as are each of the sides when you measure the length. This means that line DE is straight. It also forms a 180 degree angle because a straight line is 180 degrees. That means that Angle 11&2 and angles 3&4 must be the same because they are corresponding angles. Angle 3 corresponds to angle 1 and because angles 1 & 2 are congruent then angles 2 & 4 are also corresponding. Therefore angle 3 and angle 4 are congruent.

Answer 13

so its "Two ∠'s supplementary to equal ∠'s are =" ? @ScarlettBlack

Answer 14

Is this question multiple choice or just a homework question?

Answer 15

A.Two ∠'s supplementary to equal ∠'s are =
B.Substitution

Answer 16

I have to choose between these 2.But I have no idea what it can be.

Answer 17

It should be A because that's the only one that really fits

Answer 18

thats what i thought 2.But i wasn't sure

Answer 19

thnx:)