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Mathematics, 29.10.2019 21:31 ashley54899

Match the reasons with the statements in the proof to prove that triangle abc is congruent to triangle abd, given that ab ⊥ bd, ab ⊥ bc, and ac = ad.

given:

ab ⊥ bd

ab ⊥ bc

ac = ad

prove:

△abc ≅ △abd

1. ab ⊥ bd, ab ⊥ bc, ac = ad

given
2. ∠abc and ∠abd are right angles

perpendicular lines form right angles
3. ab = ab hypotenuse -

leg postulate
4. △ abc ≅ △ abd

reflexive property of equality

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Answers: 2

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