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Given: E is the midpoint of BD E is the midpoint of AC Prove: ∆ABC = ∆CDE

B. C. Given: E is the midpoint of BD E is the midpoint of AC Prove: ∆ABC = ∆CDE. E. <1. <2. A. D. Statement Reason E is the midpoint of BD given E is the midpoint of AC given. B. C. Given: E is the midpoint of BD E is the midpoint of AC Prove: ∆ABC = ∆CDE. E. <1. <2. A. D.

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Given: E is the midpoint of BD E is the midpoint of AC Prove: ∆ABC = ∆CDE

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  1. B C Given: E is the midpoint of BD E is the midpoint of AC Prove: ∆ABC = ∆CDE E <1 <2 A D Statement Reason E is the midpoint of BD given E is the midpoint of AC given

  2. B C Given: E is the midpoint of BD E is the midpoint of AC Prove: ∆ABC = ∆CDE E <1 <2 A D Statement Reason E is the midpoint of BD given E is the midpoint of AC given BE = DE definition of a midpoint

  3. B C Given: E is the midpoint of BD E is the midpoint of AC Prove: ∆ABC = ∆CDE E <1 <2 A D Statement Reason E is the midpoint of BD given E is the midpoint of AC given BE = DE definition of a midpoint AE = CE definition of a midpoint

  4. B C Given: E is the midpoint of BD E is the midpoint of AC Prove: ∆ABC = ∆CDE E <1 <2 A D Statement Reason E is the midpoint of BD given E is the midpoint of AC given BE = DE definition of a midpoint AE = CE definition of a midpoint <1 = <2 vertical angle theorem

  5. B C Given: E is the midpoint of BD E is the midpoint of AC Prove: ∆ABC = ∆CDE E <1 <2 A D Statement Reason E is the midpoint of BD given E is the midpoint of AC given BE = DE definition of a midpoint AE = CE definition of a midpoint <1 = <2 vertical angle theorem ∆ABC = ∆CDE SAS

  6. B C Given: E is the midpoint of BD <B = <D Prove: ∆ABC = ∆CDE E <1 <2 A D Statement Reason E is the midpoint of BD given <B = <D given

  7. B C Given: E is the midpoint of BD <B = <D Prove: ∆ABC = ∆CDE E <1 <2 A D Statement Reason E is the midpoint of BD given <B = <D given BE = DE definition of a midpoint

  8. B C Given: E is the midpoint of BD <B = <D Prove: ∆ABC = ∆CDE E <1 <2 A D Statement Reason E is the midpoint of BD given <B = <D given BE = DE definition of a midpoint <1 = <2 vertical angle theorem

  9. B C Given: E is the midpoint of BD <B = <D Prove: ∆ABC = ∆CDE E <1 <2 A D Statement Reason E is the midpoint of BD given <B = <D given BE = DE definition of a midpoint <1 = <2 vertical angle theorem ∆ABC = ∆CDE ASA

  10. B C Given: E is the midpoint of BD <A = <C Prove: ∆ABC = ∆CDE E <1 <2 A D Statement Reason E is the midpoint of BD given <A = <C given

  11. B C Given: E is the midpoint of BD <A = <C Prove: ∆ABC = ∆CDE E <1 <2 A D Statement Reason E is the midpoint of BD given <A = <C given BE = DE definition of a midpoint

  12. B C Given: E is the midpoint of BD <A = <C Prove: ∆ABC = ∆CDE E <1 <2 A D Statement Reason E is the midpoint of BD given <A = <C given BE = DE definition of a midpoint <1 = <2 vertical angle theorem

  13. B C Given: E is the midpoint of BD <A = <C Prove: ∆ABC = ∆CDE E <1 <2 A D Statement Reason E is the midpoint of BD given <A = <C given BE = DE definition of a midpoint <1 = <2 vertical angle theorem ∆ABC = ∆CDE AAS

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