The figure below shows line t, which intersects segment AB:

In the image above, line t is a perpendicular bisector and angle 4 is congruent to angle 6. Write a paragraph to prove that point C is equidistant from points A and B.

Question

The figure below shows line t, which intersects segment AB:

 
In the image above, line t is a perpendicular bisector and angle 4 is congruent to angle 6. Write a paragraph to prove that point C is equidistant from points A and B.

anonymous · Answer

attachment

anonymous · Answer

@just_one_last_goodbye @TheSmartOne @Compassionate @CountryGurl15 @GreenCat @GeniousCreation @HelpOfTheGods @Nnesha

anonymous · Answer

I don't need an answer just some explaining..

anonymous · Answer

Some one please help!

anonymous · Answer

@jim_thompson5910

anonymous · Answer

@jigglypuff314

anonymous · Answer

SOMEONE PLEASEEE! ):

jigglypuff314 · Answer

something about when perpendicular bisect
and how the two bisect bases prove triangle created is isosceles

anonymous · Answer

Thank you! Means the world that someone finally came and helped. I always tag people and they never come thank you @jigglypuff314  and @jim_thompson5910

jigglypuff314 · Answer

third purple box down http://www.regentsprep.org/regents/math/geometry/gp6/Lisosceles.htm this rule

anonymous · Answer

The one that says more info?

jigglypuff314 · Answer

yes, that triangle to the right if it is what I mean

jim_thompson5910 · Answer

jigglypuff314 has the right idea

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add point D. We know AD = BD since that's what a bisector does (it cuts a segment in half)
DC = DC due to the reflective property (anything is equal to itself)
and we have a right angle at point D, so we can use the LL (leg leg) property of congruence to prove the two triangles are congruent, which leads to us knowing AC = BC