Compare and contrast the AA similarity criterion with the ASA congruence criterion. Choose the correct answer.

A. Both criteria require that two pairs of angles be congruent, but for congruence you also need to know that the included sides are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same shape.
B. Both criteria require that two pairs of angles be congruent, but for congruence you also need to know that the non-included sides are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same shape.
C. Both criteria require that two pairs of angles be congruent, but for congruence you also need to know that the included sides are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same size.
D. Both criteria require that two pairs of sides be congruent, but for congruence you also need to know that the included angles are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same shape.

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Answer 2

Both criteria require that two pairs of angles be congruent, but for congruence, you also need to know that the included sides are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same shape. Thus option A is correct.

What is AA similarity criterion?

According to the Angle-Angle (AA) criterion, two triangle being considered comparable if "two angles from one triangle are equally equivalent to two angles of some other triangle."

According to the ASA congruence rule, two triangles are compatible when their two covered sides and two contained angles are equivalent to each other. However, thus according to AAS, if two triangles have two angles as well as one side that are identical to one another, then perhaps the triangles are congruent.

Because ASA and AAS are identical since it follows that if two images in one triangle are equal with two angles in another, therefore the third angles must likewise be identical. Therefore, option A is the correct option.

Learn more about AA similarity criterion, Here:

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Related Questions

How do you find the area of a rectangle with a base of 10 and a height of 2 1/2?

Answers

Answer:

The area would be 25.

Step-by-step explanation:

The formula for area is base × height.

2 [tex]\frac{1}{2}[/tex] × 10 = 25

A LOT OF POINTS!!!! PLZ ANSWER

Answers

Answer:

f(3x)= 3x+5/6x+2

substitute the value of X in the given question.

if u want simplified form then u can try rationalising.

f(3x)= 3x+5/6x+2 hope helped thanks for points

Tulsi and Gary are competing in a basketball free throw competition. Tulsi’s ratio of free throws made to free throws missed is 3 to 5. Gary’s ratio of free throws made to free throws missed is 10 to 15. Who has the better ratio for making free throws?

pls help

Answers

Gary because 10 to 15 rounds down to 2/3 which is greater than 3 to 5

Answer:

Gary

I have no idea how to explain this but I do know for a fact that the answer is Gary.

Solve the equation
-7=y/7

Answers

Answer:

y=-49

Step-by-step explanation:

compare-and-contrast analysis of how culture shapes the heroes in Heart of a Samurai and Black Ships Before Troy. Use transition words in your draft to help clarify relationships of ideas. KWHL What do you know? What do you want to know? How will you learn? What have you learned?

Answers

Answer:

Culture has a significant impact on heroes. For starters, it influences how a person or character perceives a particular situation or idea, as well as their point of view on a variety of ideas and topics. Next, it has an impact on how the hero is portrayed in the story. Third, it influences how a character reacts to an idea or situation.

Culture has an impact on heroes. We see an example of this in 'Black Ships Before Troy,' where in Achilles' culture, to be a hero, you must be brave and fight. This is also evident in 'Heart of a Samurai,' where Manjiro's culture dictates that in order to be a hero, you must provide for your family.

Here are the ingredients needed to make 8 pancakes.
250 ml milk
1 egg
140g flour
5G butter

Simon makes 4 pancakes. Work out how much milk he needs.

Craig makes 12 pancakes. Work out how much butter he needs.

Answers

Craig needs 7.5g of butter. Simon uses 125ml of milk

Answer:

250ml milk ÷ 2 = 125 ml of milk

(5÷8) x 12 = 7.5G butter

hope this helped :)


Find the measure of each angle. Assume the lines are parallel
m<2 =
m<3=
m<4=
m<5 =
m<6 =
m<7=
m<8=
Please please please help
Will give brainily

Answers

Answer:

angles 3 5 and 7 equal 113

angles 2 4 6 and 8 equal 67

The triangle on the grid will be translated two units down. On a coordinate plane, triangle A B C has points (2, 1), (0, negative 1), (2, negative 1). Which shows the triangle when it is translated two units down? On a coordinate plane, triangle A prime B prime C prime has points (0, negative 1), (0, negative 3), (2, negative 3). On a coordinate plane, triangle A prime B prime C prime has points (0, 1), (negative 2, negative 1), (0, negative 1). On a coordinate plane, triangle A prime B prime C prime has points (2, negative 1), (2, negative 3), (0, negative 3). On a coordinate plane, triangle A prime B prime C prime has points (2, negative 1), (2, negative 3), (0, negative 1).

please answer im taking the unit test on edge2021 and i need help ;(

Answers

Answer:

It would be triangle A'B'C' with points (2, -1); (0, -3); and (2, -3).

Step-by-step explanation:

If you were to translate triangle ABC down by two, then the y-value of each point would decrease by two. Hence, (2, 1) would become (2, -1); (0, -1) would become (0, -3); and (2, -1) would become (2, -3).

Answer:

c

Step-by-step explanation:

i got it right on test

Based on what you've read, answer the following
1. What's the temperature change?
a. 35° F to 72° F
b. 40° F to 21° F
c. 120° F to 250° F
d. 15° F to 68° F

Answers

Answer:

a.+37 b.-19 c.+130 d.+43

Step-by-step explanation:

a.72-35 b.21-40 c.250-120 d,68-15

Killian has $25 in his bank account. He wants to have at least $100. Working for his dad he earns $7.50 for each hour. Write an inequality that would help you find the number of hours he needs to work.

Answers

Answer:

Step-by-step explanation:

100-25<= 7.5x

x >= 10

Answer:

Responsability+nopartyscapes=200$!!!!

Step-by-step explanation:

Which of the following statements best describes the transfer of thermal energy when an ice cube is placed in a cup of hot water?

A.
Heat flows from the water to the ice.

B.
Cold flows from the ice to the water.

C.
Cold flows from the ice, and heat flows from the water.

D.
Heat flows equally between the ice and the water.

Answers

Answer:

A. Heat flows from the water to the ice

I think it C) Cold flows from the ice, and heat flow from the water. I am so so sorry that I get it wrong have a great day.

hi i need help asap
10(y - 3) +(6y - 5)

Answers

Answer:

16y -35

Step-by-step explanation:

10(y-3)+(6y-5)

10y-30+6y-5

10y+6y  -30-5

16y -35

Arlene borrows $400 on a 4-year loan. She is charged 5% simple
interest per year. How much interest is she charged for 4 years? What
is
the total amount she has to pay back?
I

Answers

Answer:

For 4 years she is charged $20. She has to pay back $420

Step-by-step explanation:

All the pencils have the same width. How wide is each pencil? (the struggle is real lemme just say)

Answers

Answer:

2 centimeters wide? I-

Step-by-step explanation:

Help

Don’t use for points or will take it back

Answers

Answer:

60°

Step-by-step explanation:

Angles in a triangle add up to 180°

80°+40°=120

180-120=60°

Answer:

60

Step-by-step explanation:

The angles of the traingle must add up to 180 which means that

40+80+x=180

Solve for x

120+x=180

60=x

Candice is preparing for her final exam in Statistics. She knows she needs an 62 out of 100 to earn an A overall in the course. Her instructor provided the following information to the students. On the final, 200 students have taken it with a mean score of 54 and a standard deviation of 6. Assume the distribution of scores is bell-shaped. Calculate to see if a score of 62 is within one standard deviation of the mean.

Answers

Answer:

A score of 62 is not within one standard deviation of the mean.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mean score of 54 and a standard deviation of 6.

This means that [tex]\mu = 54, \sigma = 6[/tex]

Calculate to see if a score of 62 is within one standard deviation of the mean.

Is Z between -1 and 1 when X = 62?

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{62 - 54}{6}[/tex]

[tex]Z = 1.33[/tex]

So a score of 62 is not within one standard deviation of the mean.

Angela owns a set of 6-inch tall glasses. Each glass has a diameter of 3 inches. Angela has three people over for dinner. Each guest will be served a full glass of milk. How much milk will Angela need (in cubic inches)? Use 3.14 for pi ()

Answers

Angela owns a set of 6-inch tall glasses. Each glass has a diameter of 3 inches. Angela has three people over for dinner. Each guest will be served a full glass of milk. How much milk will Angela need (in cubic inches)? Use 3.14 for pi ()

Help Please!!! Find the slope.

Answers

Answer:

(-1,-1),(1,-4)

Step-by-step explanation:

it is the wright answer

A table contain 30 milligrams of medications. How many tablets will be needed to provide with 240 milligrams of medication

Answers

Answer:

8 tablets

Step-by-step explanation:

Answer:

8 tablets

Step-by-step explanation:

240/30

Find the product.
2y2(3x + 5z)
5xy2 + 7y²z
6xy2 + 10y2z2
6xy2 7 10y?z

Answers

Answer:

6xy² + 10y²z is the product answer

Step-by-step explanation:

Triangles X Y Z and X prime Y prime Z prime are shown.
ΔXYZ was reflected over a vertical line, then dilated by a scale factor of One-half, resulting in ΔX'Y'Z'. Which must be true of the two triangles? Select three options.

△XYZ ~ △X'Y'Z'
AngleXZY ≅ AngleY'Z'X'
YX ≅ Y'X'
XZ = 2X'Z'
mAngleYXZ = 2mAngleY'X'Z'

Answers

Answer:

1,2,4

Step-by-step explanation:

I just took the test and got it right and its the only logical answer.

If ΔXYZ, after reflection and dilation by a scale factor of 1/2, ΔX'Y'Z' is created, the following would be true:

1. △XYZ ~ △X'Y'Z'

2. AngleXZY ≅ AngleY'Z'X'

4. XZ = 2X'Z'

Dilation of ShapesWhen a shape is dilated, the new image formed is similar to the original shape.Similar shapes have proportional side but congruent corresponding angles.

Thus, if ΔXYZ, after reflection and dilation by a scale factor of 1/2, ΔX'Y'Z' is created, the following would be true:

1. △XYZ ~ △X'Y'Z'

2. AngleXZY ≅ AngleY'Z'X'

4. XZ = 2X'Z'

Learn more about dilation on:

https://brainly.com/question/10253650

jtftfjjvvjvghchvjufvyffytrcf
please help quick

Answers

Answer:

The one on the top right

Step-by-step explanation:

It displays 8 steps each with a length of 1/2 to represent 8 x 1/2.

HTH :)

Terry goes to the store to buy a shirt. The original price is $32. The shirt is
marked down 20%. When he gets to the check-out stand, he learns that
everything in the store is another 10% off of the marked down price. Which
dollar amount below is closest to the amount Terry paid for the shirt?

Answers

Answer:

The closest amount paid is $23

Step-by-step explanation:

Given

[tex]Price = \$32[/tex]

[tex]Mark\ down = 20\%[/tex]

Amount = 10% of Marked down price

Required

Determine the amount paid

First, we calculate the marked down price P2:

[tex]P_2 = Price(1 - Mark\ down)[/tex]

Substitute values for Price and Mark down

[tex]P_2 = \$32 * (1 - 20\%)[/tex]

Express percentage as decimal

[tex]P_2 = \$32 * (1 - 0.20)[/tex]

[tex]P_2 = \$32 * (0.80)[/tex]

Remove bracket

[tex]P_2 = \$32 * 0.80[/tex]

[tex]P_2 = \$25.6[/tex]

The payable amount is 10% off the marked down price,

This is calculated as:

[tex]Amount = P_2 - P_2 * 10\%[/tex]

Substitute $25.6 for P2

[tex]Amount = \$25.6 - \$25.6* 10\%[/tex]

Express percentage as decimal

[tex]Amount = \$25.6 - \$25.6* 0.10[/tex]

[tex]Amount = \$25.6 - \$2.56[/tex]

[tex]Amount = \$23.04[/tex]

The closest amount paid is $23

Pls help im failing I’ll brainlest for the right answer

Answers

Answer:

65 miles per hour

Step-by-step explanation:

The area of the parallelogram is 315 square units. What is the height of the parallelogram?


WILL GIVE BRAINLEST

Answers

Answer:

15

Step-by-step explanation:

A÷B= H (Area divided by base equals height)

315÷21= 15

Answer:

height = 15

Step-by-step explanation:

Area of a parallelogram: Base * height

Plug in the values we know.

21 * height = 315

Divide both sides by 21

height = 15

necesito para que salga su resultado ​

Answers

Answer: i want to help sosososososo badly but i do not know spanish

Step-by-step explanation:

Simplify each exponential expression using the properties of exponents and match it to the correct answer.

Answers

Answer:

Answers - 2, 1, 1/2 1. (2x3^-2)(5x3^2)^2 (3^-2)(5x2)^2 2. (3^3)(4^0)^2(3x2)^-3(2^2) 3. (3^7x4^7)(2x5)^-3(5^2) 12^2x5^-1x2^-4 4. (2x3)^-1x2^0 (2x3)-1

Step-by-step explanation:

wikipideia

Algebra:
a(3b-1)=2b+2
Solve for b

Answers

Answer:

b = [tex]\frac{3ab - a - 2}{2}[/tex]

Step-by-step explanation:

We have an algebraic expression and are asked to solve for b.

a(3b - 1) = 2b + 2

To solve we need to isolate b :

Distribute :

(a(3b) - a(1)) = 2b + 2

3ab - a = 2b + 2

2b + 2 = 3ab - a

Subtract 2 from both sides :

2b = 3ab - a - 2

Divide 2 from both sides :

b = [tex]\frac{3ab - a - 2}{2}[/tex]

Answer:

b = 2+a/ 3a-2

Step-by-step explanation:

Please help at least do 3 questions please Don’t guess (can be more than one)

Answers

24 56 78 12 13 9 45 17 67 65 4 8

what is an equation that requires only one step to solve one operation called?

Answers

Answer

algebraic equation

Step-by-step explanation:

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