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Prove that if chords of congruent circles subtend equal angles at their centers then the chords are equal?
let the two circles with centre O and P are congruent circles, therefore their radius will be equal.
given: AB and CD are the chords of the circles with centres O and P respectively.
∠AOB=∠CPD
TPT: AB=CD
proof:
in the ΔAOB and ΔCPD
AO=CP=r and OB=PD=r
∠AOB=∠CPD
therefore by SAS congruency, ΔAOB and ΔCPD are congruent triangle.
therefore AB=CD
What else can I help you with?
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How many congruent angles does a quadrilateral have?
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Are vertical angles congruent or supplementary angles?
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Two angles that are congruent have the same angle measurement.
A triangle with three congruent angles?
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Do Congruent central angles have congruent chords?
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How do you prove In a circle or congruent circles congruent central angles have congruent arcs?
Chuck Norris can prove it
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Does a cylinder have any angles?
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How any angles does a cylinder have?
None normally but it does have 2 congruent parallel circles and there are 360 degrees around a circle.
Is two arcs of a circle congruent if and only if their associatd radii are congruent?
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Are suplements of congruent angles are congruent?
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The prime purpose of a compass is to construct circles.
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Angles are congruent if they are equal. Corresponding angles in figures that are similar are congruent.
What is the Congruent Supplements Theorem?
if two angles are supplements of congruent angles, then the two angles are congruent.
Are all angles in a trapezoid congruent?
No, not all angles in a trapezoid are congruent. A trapezoid may have two pairs of congruent angles, or may have no congruent angles.
If two angles in a triangle are congruent to two angles in another triangle then the angles are also congruent.?
If two angles in a triangle are congruent to two angles in another triangle, then the ______________ angles are also congruent.
