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notsponge [240]
3 years ago
6

name the theorem or postulate that lets you conclude triangle ABD is congruent to triangle CBD with only one additional step

Mathematics
1 answer:
evablogger [386]3 years ago
4 0

Answer:

The answer is the first one ⇒ AAS

Step-by-step explanation:

∵ DB ⊥ AC

∴ m∠DBA = m∠DBC = 90° ⇒ (1)

∵ m∠A = m∠C ⇒ (2) given (from figure)

∵ DB is a common side in the two Δ ⇒ (3)

From (1) , (2) and (3)

∴ Δ ABD is congruent to Δ CBD ⇒ AAS

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Let us examine the answer choices given.

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Choice: [B]:  " -(-21) = -21 .  This is incorrect.  As explained above:

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Choice: [C]:  " -(21) = 21 .  This is incorrect.  The "negative" value [of a positive integer is not equal to the "equivalent positive value" of that same integer.

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   Best wishes!

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