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Understanding Congruent Arcs in Circles

This resource explains the concept of congruent arcs in circles, illustrating why certain arcs can have the same measure yet not be congruent. Through examples, it clarifies the relationship between arcs and circles, providing detailed solutions to questions about identifying congruent arcs. Key learning includes recognizing how arcs from different circles can share measures but remain non-congruent due to their distinct circle origins. The guided practice sections reinforce understanding by challenging students to determine congruence based on given criteria.

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Understanding Congruent Arcs in Circles

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  1. a. b. a. CDEF because they are in the same circle and mCD = mEF b. RSand TUhave the same measure, but are not congruent because they are arcs of circles that are not congruent. EXAMPLE 3 Identify congruent arcs Tell whether the red arcs are congruent. Explain why or why not. SOLUTION

  2. VXYZ because they are in congruent circles and mVX=mYZ . c. c. EXAMPLE 3 Identify congruent arcs Tell whether the red arcs are congruent. Explain why or why not. SOLUTION

  3. ABCD because they are in congruent circles and mAB=mCD . 7. for Example 3 GUIDED PRACTICE Tell whether the red arcs are congruent. Explain why or why not. SOLUTION

  4. 8. MNand PQhave the same measure, but are not congruent because they are arcs of circles that are not congruent. for Example 3 GUIDED PRACTICE Tell whether the red arcs are congruent. Explain why or why not. SOLUTION

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