SOLUTION: Prove the following theorems: 1. Two chords of a congruent circles are congruent if and only if they subtend congruent arcs. 2. Two tangets with ine endpoint on the circle an

Algebra ->  Circles -> SOLUTION: Prove the following theorems: 1. Two chords of a congruent circles are congruent if and only if they subtend congruent arcs. 2. Two tangets with ine endpoint on the circle an      Log On


   



Question 1190284: Prove the following theorems:
1. Two chords of a congruent circles are congruent if and only if they subtend congruent arcs.
2. Two tangets with ine endpoint on the circle and tge other endpoint a common external point have the same length.


better if it draw and explain them.

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

Regarding your first question/problem/theorem,  see the lesson

    - The longer is the chord the larger its central angle is

in this site.



Regarding your second question/problem/theorem,  see the lesson

    - Tangent segments to a circle from a point outside the circle

in this site  (Theorem  1).