Tell whether the red arcs are congruent. Explain why or why not. 19620102491.jpg a) Th

enfocarteu7z

enfocarteu7z

Answered question

2022-03-03

Tell whether the red arcs are congruent. Explain why or why not.

a) The arcs are not congruent because the arcs are not adjacent.
b) The arcs are not congruent because they are in two different circles.
c) The arcs are congruent because arcs with the same measure are congruent
d) The arcs are congruent because they have the same measure and are in congruent circles.

Answer & Explanation

greikkar5bu

greikkar5bu

Beginner2022-03-04Added 5 answers

Step 1
Given,
Two intersecting circles with centers C and D and arc AB and EF respectively.
We have to find the congruency between the arcs AB and EF.
Step 2
From the diagram
Radius of circle with center C=6
Now,
AB=95360×2π(6)
(applied the formula for length of arc =θ360×2π (radius) where θ is the central angle)
AB=196×π
AB=196π (1)
Step 3
From the diagram
Radius of circle with center D=6
Now,
EF=95360×2π(6)
(applied the formula for length of arc =θ360×2π (radius) where θ is the central angle)
EF=196×π
EF=196π (2)
Step 4
From (1) and (2). Two arcs are congruent because they have the same measure and are in congruent circles.

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