The figure shows ABC with mABC = 90°. The first 10 steps to prove that AB+ BC = AC are given in the table. Match the remaining steps to their correct sequence in the proof.

The first 10 steps to prove that AB2+ BC = AC are given in the table. Match the remaining steps to their correct sequence in the proof.Statement Reason1. Draw . construction2. ∠ABC ≅ ∠BDC Angles with the same measure are congruent.4. ∠BCA ≅ ∠DCB Reflexive Property of Congruence4. AA criterion for similarity5. Corresponding sides of similar triangles are proportional.6. BC2 = AC × DC cross multiplication7. ∠ABC ≅ ∠ADB Angles with the same measure are congruent.8. ∠BAC ≅ ∠DAB Reflexive Property of Congruence9. AA criterion for similarity10. Corresponding sides of similar triangles are proportional.

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