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
Vertical angles must necessarily be congruent, however congruent angles do not necessarily have to be vertical angles. An example of congruent angles which are not vertical angles are the 3 interior angles of an equilateral triangle. These angles do not share the same vertex yet they are congruent.
they have 4 congruent angles
Vertical angles are always, by definition, congruent. Note: If the two vertical angles are right angles then they are both congruent and supplementary.
Two angles that are congruent have the same angle measurement.
A triangle with three congruent angles
Chuck Norris can prove it
None normally but it does have 2 congruent parallel circles and there are 360 degrees around a circle.
None normally but it does have 2 congruent parallel circles and there are 360 degrees around a circle.
if two angles are supplements of congruent angles, then the two angles are congruent.
Angles are congruent if they are equal. Corresponding angles in figures that are similar are 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.
The prime purpose of a compass is to construct circles.
If two angles in a triangle are congruent to two angles in another triangle, then the ______________ angles are also congruent.
No, An equilateral triangle has 3 congruent angles, an isosceles triangle has 2 congruent angles, a scalene triangle has no congruent angles.
Angles that are always congruent are applesauce angles
All right angles are congruent, and all straight angles are congruent.
No, circles do not have angles.