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Samantha A.

asked • 11d

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
  4. angle addition postulate

Liz Z.

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!


Samantha A.

i added more information to it! thank you!


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