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IgorC [24]
2 years ago
9

Please help giving brainlist

Mathematics
1 answer:
Liono4ka [1.6K]2 years ago
8 0

Answer:

the SSS similarity theorem

Step-by-step explanation:

⇒ It cannot be the SAA similarity theorem as they only share a single common angle

⇒ It cannot be the HL similarity theorem, as the sides are not equal

⇒ It must be the SSS triangles

===========================================================

<h3>What is the SSS similarity theorem?</h3>

It states that :

If the lengths of the corresponding sides of two triangles are proportional, then the two triangles are similar.

============================================================

Let's take the sides in proportion :

⇒ 15/5 = 3 (Hypotenuses)

⇒ 6+3/3 = 9/3 = 3 (Heights)

⇒ 8+4/4 = 12/4 = 3 (Bases)

As the sides are in proportion, the triangles are similar by the SSS similarity theorem.

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Answer:

Becky completed the proof incorrectly.

Step-by-step explanation:

The only difference of the two proofs, at least what I can see, is the reason for step 2. Angie claims that it is the Definition of Supplementary Angles, while Becky claims Angle Addition Postulate.

The Definition of Supplementary Angles states that m∠A + m∠B = 180°.

While the Angle Addition Postulate states that m∠A + m∠B = m∠C.

Because the context used is that  m∠AKG + m∠GKB = 180° and m∠GKB + m∠HKB = 180°, it would be using the Definition of Supplementary Angles.

So Becky is the one who is incorrect.

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