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How do I find the following deductive free settings for the empty blanks

How do I find the following deductive free settings for the empty blanks-example-1

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\begin{gathered} \text{first blank space BE}\cong BC \\ \text{second blank radius} \\ \text{third blank space BE}\cong CD \\ \text{fourth BC}\cong CD \\ \text{fifth midpoint} \end{gathered}

User Yosvel Quintero
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