Question

Keaton wtote the following paragraph to 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 ___________. The sum of angle 1 and angle 4 is equal to the sum of angle 3 and 4 by transitive property of equality. Ane 1 is equal to angle 3 by the subtraction property of equality.
Which phrase completes the proof?
A. By construction using a straightedge
B. By the definition of a perpendicular bisector
C. By the definition of supplementary angles
D. By the vertical angles theorem

Answer 1

@mathmath333 @ganeshie8 @campbell_st @Hero @amilapsn

Answer 2

I think those would help you.

Answer 3

Thanks! My answer is C, is that right?

Answer 4

Yep. But what's perpendicular bisector?

Answer 5

A line segment thats perpendicular to a side of a triangle

Answer 6

hmm... let's ask google..:)

Answer 7

Thats where i got it from lol

Answer 8

wait google doesn't always says the truth... Google's interpretation is wrong for perpendicular bisector. Do you want to know why?

Answer 9

Yes please, explain it to me

Answer 10

because perpendicular bisectors shouldn't always be in triangles... they can be anywhere... actually anywhere there's a straight line.

Answer 11

The blue line's perpendicular bisector is the pink line.
The pink line becomes the perpendicular bisector for the pink line is for two reasons.
1. The angle between the blue one and pink one should be \(\sf\color{red}{90^o}\)
2. The pink line should divide the blue line into \(\sf\color{red}{equal}\) two parts.

Answer 12

Makes sense now, thank you so much! Do you think you could help me with another one?