Question

Amanda and Stephen wrote the following proofs to prove that vertical angles are congruent. Who is correct?

Answer 1

Amanda’s Proof




Statement

Justification


Angle1 +Angle4 = 180°

Definition of Supplementary Angles


Angle3 + Angle4 = 180°

Definition of Supplementary Angles


Angle1 + Angle4 = Angle3 + Angle4

Transitive Property of Equality


1 is congruent to 3

Subtraction Property of Equality

Answer 2

Stephen’s Proof



Statement

Justification


Angle1 + Angle2 = 180°

Definition of Supplementary Angles


Angle2 + Angle3 = 180°

Definition of Supplementary Angles


Angle1 + Angle2 = Angle2 + Angle3

Transitive Property of Equality


Angle1 is congruent to Angle3

Subtraction Property of Equality

Answer 3

@amistre64

Answer 4

@ivettef365

Answer 5

one went left, the other went right .... on a circle, it really doesnt matter does it. Thats the only diff i see between them

Answer 6

wait so what are u say

Answer 7

@amistre64

Answer 8

im saying, i see no obvious difference between them.

one went 1+2 the other went 1+4

supplementals dont change their sum. so i see no real difference between the proofs

Answer 9

are u saying neither of them are correct

Answer 10

im saying they are both the same ... as posted. not sure if id call the third thing transitive tho; but my geometry terminology is not up to par

Answer 11

<1 + <2 = 180 = <2 +<3

then

<1 + <2 = <2 +<3

i spose transitive is fine as a name to call it

Answer 12

Amanda’s Proof




Statement

Justification


Angle1 +Angle4 = 180°

Definition of Supplementary Angles


Angle3 + Angle4 = 180°

Definition of Supplementary Angles


Angle1 + Angle4 = Angle3 + Angle4

Transitive Property of Equality


1 is congruent to 3

Subtraction Property of Equality

Answer 13

Stephen’s Proof



Statement

Justification


Angle1 + Angle2 = 180°

Definition of Supplementary Angles


Angle2 + Angle3 = 180°

Definition of Supplementary Angles


Angle1 + Angle2 = Angle2 + Angle3

Transitive Property of Equality


Angle1 is congruent to Angle3

Subtraction Property of Equality

Answer 14

I still don't understand

Answer 15

A Proof
S Proof

Angle1 +Angle4 = 180°
Angle1 +Angle2 = 180°

Definition of Supplementary Angles

Angle3 + Angle4 = 180°
Angle3 + Angle2 = 180°

Definition of Supplementary Angles

Angle1 + Angle4 = Angle3 + Angle4
Angle1 + Angle2 = Angle3 + Angle2

Transitive Property of Equality

1 is congruent to 3
1 is congruent to 3

Subtraction Property of Equality

Answer 16

they are both correct right'

Answer 17

i cant see anything wrong with them .....