i need to ger an statements and reasons

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Given: angle 1 is the complement of angle 2; angle 3 is the complement of angle 4; line AB is parallel to line CD Prove: triangle ADB is congruent tI triangle CBD

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learning about two column proofs and triangles

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If PQ is congruent to QS and QS is congruent to ST, then PQ equals ST.

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I am doing geometry and we are studying proofs. Why do we need proofs in geometry? What purpose do they serve in geometry?

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how do you do two-Column proofs well?

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This is a proof or a disproof with a salvage.