 Samantha A.

# Proving Vertical Angles Are Congruent

Given: Angle 2 and angle 4 are vertical angles

Prove: angle 2 is congruent to angle 4

Statement options:

1. m angle 2+ m angle 3= 180
2. m angle 3+ m angle 4= 180
3. angle 2 and angle 3 are a linear pair
4. angle 3 and angle 4 are a linear pair
5. m angle 2+ m angle 3= m angle 3+ m angle 4
6. lines m and n intersect at P

Reason Options:

1. def. of a linear pair
2. def. of vertical angles
3. substitution property Liz Z.

tutor
We need to know what you're given to be sure, but in general, I think you can prove that the vertical angles are supplementary, or linear pairs, to given congruent angles. What else are you told? Are angles 1 and 3 congruent? Do you know the measures of other angles? Add more information here to tell what you're given, then I can help. Have fun! Geometry is awesome!
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Samantha A.

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