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3 years ago

What is the first error Alycia made in her proof.

Mathematics

1 answer:

iogann1982 [59]3 years ago

8 0

Answer: Alycia only established some of the necessary conditions for a congruence criterion.

Step-by-step explanation: Two triangles are <u>congruent</u> if their corresponding sides or/and corresponding angles are the same.

There are 5 ways to find out if the triangles are congruent.

The one Alycia used seems to be the one called <u>Side-Angle-Side</u>, which states that if two sides and its included angle is equal to the corresponding sides and angle of the other triangle, they are congruent.

For triangles ΔOPQ and ΔSTR to be congruent, using that theorem:

1) ∠O = ∠S

2) OP = TS

And

3) RS = OQ

So, Alycia's error is that she didn't prove RS = OQ, which would definitively conclude that both triangles are congruent.

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3 years ago

A 2-column table with 7 rows. Column 1 is labeled Power of 3 with entries 3 cubed, 3 squared, 3 Superscript 1, 3 Superscript 0,

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Answer:

a=1, b=1/3, c=1/27

Step-by-step explanation:

The table is given below:

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(a)As the exponents decrease, the next term is gotten by a division of the previous term by 3.

$f_n=f_{n-1}\div 3$

(b)

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