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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
Is the measure of an arc congruent to the measure of its central angle?
No.
What is a congruent arc?
Congruent arcs are circle segments that have the same angle measure and are in the same or congruent circles.
Which of these uses a single arc in its construction?
constructing a congruent angle
Is an inscribed angle congruent to the arc?
No, it can never be. One is an angle and the other is a curved line!
Is the measure of a minor arc equal to the measure of its central angle?
CONGRUENT
What is the relation between the arc length and angle for a sector of a circle?
A sector is the area enclosed by two radii of a circle and their intercepted arc, and the angle that is formed by these radii, is called a central angle. A central angle is measured by its intercepted arc. It has the same number of degrees as the arc it intercepts. For example, a central angle which is a right angle intercepts a 90 degrees arc; a 30 degrees central angle intercepts a 30 degrees arc, and a central angle which is a straight angle intercepts a semicircle of 180 degrees. Whereas, an inscribed angle is an angle whose vertex is on the circle and whose sides are chords. An inscribed angle is also measured by its intercepted arc. But, it has one half of the number of degrees of the arc it intercepts. For example, an inscribed angle which is a right angle intercepts a 180 degrees arc. So, we can say that an angle inscribed in a semicircle is a right angle; a 30 degrees inscribed angle intercepts a 60 degrees arc. In the same or congruent circles, congruent inscribed angles have congruent intercepted arcs.
Rays r and s are tangents w equals?
54 degrees. The minor arc is congruent to the opposite angle (54)
Supplements of the same angle are congruent what's the best statement for reason 6 of this proof?
angle B and angle D are supplements, angle B is congruent to angle D, angle A is congruent to angle A, or angle A is congruent to angle C
What is transitive property of congruence?
The transitive property is if angle A is congruent to angle B and angle B is congruent to angle C, then angle A is congruent to angle C.
Name an angle congruent to angle HRN?
HPE is an angle congruent to angle HRN.
Name an angle congruent to angle PTB?
TBP an angle congruent to angle PTB.
Name an arc congruent to arc DE?
BV
