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No. Consider two circles of diameter 10cm and 20cm respectively.
For the smaller circle consider the arc formed by half the circle. It has a length of pi*5 (where * means multiply)
For the larger circle, consider the arc formed by a quarter of the circle. It has a length of pi*5.
Both arc lengths are the same but they are not congruent. They have entirely different shapes.
What else can I help you with?
What conditions must be met for two arcs to be congruent?
Two arcs are congruent if they have the same measure in degrees or radians and are parts of the same circle or circles of equal radius. Additionally, if the arcs are on different circles, they must subtend the same central angle. This ensures that the lengths of the arcs are equal, meeting the congruence condition.
What are two minor arcs that are congruent with corresponding chords?
They are arcs of congruent circles.
Is two arcs of a circle congruent if and only if their associatd radii are congruent?
Yes, two arcs of a circle are congruent if and only if their associated radii are congruent. This is because congruent arcs subtend equal angles at the center of the circle, which means the radii connecting the center to the endpoints of the arcs must also be equal in length. Thus, the congruence of the arcs directly correlates to the congruence of their respective radii.
Two angles are congruent if they have the same?
If they have the same measure.
Two angles which have what are congruent?
The same measure.
Two arcs are congruent if they have the same measure and they belong to or to?
same circle or congruent circles
Two arcs are congruent if they have the same measure and they belong to?
Congruent circles, maybe...
For two arcs to be congruent what conditions must be met?
they must be in the same circle or congruent circles they must have the same central angle measure
What does parallel lines intercepted arc conjecture mean?
Parallel lines intercept congruent arcs on a circle. More explanation: Parallel lines never interSECT but they can interCEPT Congruent arcs means that the two arcs would have the same measure of the arcs.
Are two arcs of a circle congruent if and only if their associated radii are congruent?
The answer is false
Two arcs of a circle are congruent if and only if associated chords are perpendicular?
In the same circle, or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent.
What are two minor arcs that are congruent with corresponding chords?
They are arcs of congruent circles.
What is the if-then form of two segments having the same measure are congruent?
The form would be: "If two segments have the same measure, then they are congruent."
Are measures of minor arcs equal measures of inscribed angles?
No. The first is a measure of length, the second is a measure of angular displacement. If you have two circles with arcs of the same angular measure, the lengths of the arcs will not be the same.
Two angles are congruent if they have the same?
If they have the same measure.
Two segments having the same measure are congruent?
yes they are congruent
What does congruent angels mean?
Two angles are congruent if they have the same measure.
