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Rus_ich [418]
3 years ago
7

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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Angie’s rotation maps triangle XYZ to triangle X’Y’Z’. Which describes the rotation?
Murrr4er [49]

The rotation is 180 degrees in clockwise direction.

What is rotation?

The angle of rotation is a measurement of the amount, of namely angle, that a figure is rotated about a fixed point, often the center of a circle.

The complete question is:

Angie’s rotation maps triangle XYZ to triangle X’Y’Z’.

X(3, –6) maps to X’(–3, 6)

Y(1, –2) maps to Y’(–1, 2)

Z(–1, –5) maps to Z’(1, 5)

Which describes the rotation?

If we look at the coordinates carefully then we can see that the sign of the coordinates have been changed.

As, (x,y) to (-x, -y)

Hence, the rotation is  180 degrees rotation (x,y) to (-x, -y) in clockwise rotation.

Learn more about this concept here:

brainly.com/question/21042311

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7 0
3 years ago
. A painter mixes two and a half pints of yellow paint with 4 pints of red paint to make a certain shade of orange paint. How ma
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Answer:

6

Step-by-step explanation:

A painter mixes 2 1/2 pints (2.5 pints) of yellow paint with 4 pints of red paint to make a certain shade of orange paint. The ratio of yellow paint to red paint is 2.5:4. In order to find the pints of yellow paint needed to be mixed with 10 pints of red paint, we will use conversion fractions.

10 red pints × (2.5 yellow pints/ 4 red pints) ≈ 6 pints (we round off to 1 significant figure)

5 0
3 years ago
Find the value of x in each quadrilateral.
elena-14-01-66 [18.8K]

If i am correct, these values should add to 360, so I do it by

140 + 110 + 62 = 312

360 - 312 = 48

So the value of the last side must equal 48.

Your answer would be x = -9. Proof:

If 9 is filled in, you would have

(3 - 5(-9))

(3 - (-45))

48

Then

48 + 140 + 110 + 62 = 360!

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

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I don’t know if you still need the answer but it would be C) 3204 in.
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