SOLUTION: Prove: If two tangents to a circle are parallel, then the points of the tangency divide the circle into two congruent arcs.
Algebra.Com
Question 1140343: Prove: If two tangents to a circle are parallel, then the points of the tangency divide the circle into two congruent arcs.
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!
Any radius of a circle to a point of tangency is perpendicular to the tangent at that point.
If two tangents to a circle are parallel, then the two radii to the points of tangency are two halves of a diameter.
A diameter divides a circle into two congruent arcs.
RELATED QUESTIONS
Prove that the tangents passing through the end points of a diameter of a circle are... (answered by ikleyn)
an equilateral triangle is inscribed in the circle of radius 1 centered at the origin... (answered by Alan3354)
An equilateral triangle is inscribed in the circle of radius 1 centered at the origin... (answered by ikleyn)
_ _
DO and GO are tangents to a circle. Points D and G are the points of tangency, (answered by ikleyn)
Chord AB has the same length as the radius of the circle in which it is drawn. Endpoints... (answered by ikleyn)
. If two circles are concentric and a chord of the larger circle is tangent to the... (answered by mananth)
From any point P outside a given circle, there are two lines through P that are tangent... (answered by greenestamps)
Prove that the arcs between any two parallel chords in a circle must be the same... (answered by solver91311)
Draw a circle with a diameter of 7 cm and a point,P, 10cm from the centre of this circle. (answered by Edwin McCravy,robertb)