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Is an inscribed angle congruent to the arc?
No, it can never be. One is an angle and the other is a curved line!
If two triangles have a congruent angle and two congruent sides then are the triangles guaranteed to be congruent?
Only if the congruent angle is the angle between the two congruent sides (SAS postulate).
Can you show that two triangles are congruent by angle-angle-angle?
No, because they need not be congruent.
In the parallelogram ABCD name three pairs of congruent angles and three pairs of congruent sides?
If the parallelogram is a square then angle A is congruent to angle B ,is congruent to angle C. AB is congruent to BC is congruent to CD.
How do you find the arc length when the central angle is given?
Well, in degrees, the arc is congruent to its central angle. If the radius is given, however, just find the circumference of the circle (C=πd). Then, take the measure of the central angle, and divide that by 360 degrees. Multiply the circumference by the dividend, and you will get the arc length. This works because it is a proportion. Circumference:Arc length::Total degrees in triangle:Arc's central angle. Hope that helped. :D
