Question

KAN SOMEBODY HEPLME #ONSANGRE #ON9INE3REY

Derek wrote the following paragraph proof for the Vertical Angles Theorem:

The sum of angle 1 and angle 4 and the sum of angle 3 and angle 4 are each equal to 180 degrees by the definition of supplementary angles. The sum of angle 1 and angle 4 is equal to the sum of angle 3 and angle 4 by the transitive property of equality. Angle 1 is equal to angle 3 _____________________.

Which phrase completes the proof?
by construction using a straightedge
by the definition of a perpendicular bisector
by the subtraction property of equality
by the vertical angles theorem

Answer 1

subtraction property of equality (i just took that test and got it right)

Answer 2

Hey there! :D

It's important to remember that vertical angles are congruent. They are angles that you could draw a line through the vertex, and it would create 2 more equal angles.

Also, the question even states that "Derek wrote the following paragraph proof for the vertical angles theorem."

So, the answer is 'the vertical angles theorem".

I hope this helps!
~kaikers