Triangle ABC has Vertices A(1, 2), B(3, 5), and C(4, 3). Using the origin as the center of dilation, Triangle ABC is dilated by a scale factor of 3 to create Triangle A ′ B ′ C ′ . Which statement can be used to justify that Triangle ABC is similar to Triangle A ′ B ′ C ′ ?

Answers

Answer 1

Answer:

AA ≅ AA postulate

Step-by-step explanation:

Given

[tex]A=(1,2)[/tex]

[tex]B = (3,5)[/tex]

[tex]C = (4,3)[/tex]

[tex]k = 3[/tex] --- scale factor

Required

Determine which statement that justifies the similarities between ABC and A'B'C'

When ABC is dilated by a scale factor of 3 to form A'B'C', the sides A'B'C are 3 times as large as the sides of ABC.

However, all three angles of both triangles remain the same. This is so, because dilation do not affect angles.

So, a statement that can be used to justify the similarities is:  AA ≅ AA


Related Questions

help me please. i have no clue what i’m doing!

Answers

Answer:

I believe transversal is the correct answer because it isn't a part of the triangle.

Chose the fraction that represents 20/24 in lowest terms
5/6
4/5
1/3
10/12

Answers

Answer:

5/6

To reduce this fraction, simply divide the numerator and denominator by 4 (the GCF). So, 20/24 = 20÷4/24÷4 = 5/6. Thus, 2024 is equivalent to 5/6 in the reduced form.

Step-by-step explanation:

Hope it is helpful...

Plz help due tomorrow

Answers

Answer:

20.5+10x

Step-by-step explanation:

3(-4b+1) = 15
pls help asap

Answers

Answer:

b = -1

Step-by-step explanation:

3(-4b+1) = 15

multiply: -12b + 3 = 15

subtract 3 from 15: -12b = 12

divide: b = -1

What is (16x^3)^ 1/4 in radical form?

Answers

Answer:

4^√16x3

Step-by-step explanation:

-2 [ 3 ( - 2x + y ) + 4 ( -x + 2y ) ] =

Answers

Answer:

20x-22y

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

#

Answer:

Step-by-step explanation:

Just the answer.

=20x - 22y

» Seven more than a number, 2, is at most 20.
1) Which inequality represents this statement?
7 – < 20
7 + x < 20
7 - 2 > 20
7 + x > 20

Answers

Answer:

i believe its 7 + x < 20

Step-by-step explanation:

The inequality function that represent the given statement should be 7 + x < 20. The second option is correct.

What is the inequality function?

It is the relationship  type that shows the relationship with the graph.

Since the statement like

Seven more than a number, 2, is at most 20.

So its inequality function be like

7 + x < 20

hence, the second option is correct.

And, the rest of the options are incorrect.

Learn more about inequality here: https://brainly.com/question/11211729

If the following cylinders shown below are similar, what is the value of x? A.3 B.5
C.10 D. 20

Answers

Answer:

it b

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

evreything is in half

SOMEONE PLEASE HELP ME BEFORE I FAIL

Answers

Answer:

4/40

Step-by-step explanation:

you can reduce this to 1/10

multiplying 4 by both 1 and 10 will give you the fraction 4/40 both can be divided by 4 and that's how it can reduce to the 1st fraction (1/10)

round $5.127 to the nearest hundredths​

Answers

Answer:

$5.13

Step-by-step explanation:

Answer:

$5.13 :)

Step-by-step explanation: the second number after the decimal is the hundredths place :)

When one power is exponentiated by
an exponent, what is done with the
exponents?

Answers

I’m pretty sure they are multiplied, if I understand your wording

Here thanks for helping​

Answers

Answer:

13. 3x+10=5x-10

14. (I'm not sure how to set this one up, sowwy ;^;)

15. 5x+15=6x

16. x+10=4x-20

I'm pretty sure this is how to set it up

Rewrite the following expression using the GCF and Distributive Property.
20k + 4m

Answers

tdtdidtiddititidtidutdtudutdrysrys6rdr6druurddut

the answer is 4( 5k +m)

Find the values of the solution point (x,y).

3x + y = 4
-3x + y = -2

A. (1,1)
B. (6,12)
C. (4,24)
D. (-2,-1)

Answers

Answer:

a

Step-by-step explanation:

3(1) + 1 = 4

3+1=4

4=4

-3(1) + 1 = -2

-3 +1 = -2

-2 = -2

A plane is traveling at 600 miles per hour. How many feet per second is it traveling?

Answers

Answer:

600

Step-by-step explanation:

Answer:

880 ft/sec

Step-by-step explanation:

How many lines of symmetry does a star like this ⭐️ Have?

Answers

Answer:

This line symmetery has Five lines

Which line is the graph of y=-2x+2?​

Answers

Answer:

b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

I will give you brainlist if you answer this correctly

Answers

Answer:

its 2,340

Step-by-step explanation:

5. Consider the image below of a pasture at McDonald's Farm.
750 ft
45°
Part A: If McDonald wants to fence in the square pasture and barbed-wire
fencing costs $1.15 per foot, then determine the cost to fence in
the pasture.
Part B: If McDonald wants to cover the square pasture in fertilizer, then he
needs to determine the area of the pasture. What is the area of
the pasture to the nearest hundredth?

Answers

Answer:

Step-by-step explanation:

The area of the square pasture is given by the leg length of the right

triangle which is the same as the side length of the square.

Correct responses:

Part A: $2,439.5Part B: 281, 250 ft.²Method by which the above responses are obtained

Part A

The given triangular side is a right triangle.

Length of the hypotenuse and an acute angle of the right triangle are;

750 ft. and 45°

Therefore;

Leg length of the right triangle = Side length of the square

Leg length of the right triangle = 750 ft. × sin(45°) = 375·√2 ft.

Side length of the square pasture, s = 375·√2 ft.

Perimeter of the fence = 4 × 375·√2 ft. = 1500·√2 ft.

Cost per foot for fencing = $1.15

The cost to fence the square pasture = $1.15/ft. × 1,500·√2 ft. ≈ $2,439.5

Part B:

The area, A, of the square pasture is given by A =

Which gives;

A = (375·√2)² = 281,250

The area of the square pasture is A = 281,250 ft.²

Learn more about trigonometric ratios here:

https://brainly.com/question/1757727

https://brainly.com/question/13998756

Will spent $15 for 12 pounds of granola. What is his unit rate in dollars per pound?

Answers

Answer:

1.25

Step-by-step explanation:

to find the unit rate you have to find out how much one pound will be so you divide 15 by 12 and you get 1.25

y = 3x
-3.x - y = -24
solve by substitution

Answers

-3x -(3x) = 24
-6x = 24
x= -4

y= 3(-4)
y=-12

Help with this and I will give you the brainiest and you get 10 points

Answers

Answer:

1.-22

2.2

3.48

4.3b

5.1+5v

6.2m+20

7.p=-9

8.x=8

A square rug has an inner square in the center. The side length of the inner square is x inches and the width of the outer region is 6 in. What is the area of the outer part of the rug?​

Answers

36-x squared i don’t know if it’s right sorry

So, to be honest, I don't really pay attention in class. I'm wondering if anyone could give me the answer to this.

Answers

10.5 i think it would be not sure
I believe it’s 10.5

The scale shows both percentages and decimals.
0%
20%
40%
60%
80%
100%
0
0.2
0.4
0.6
0.8

Fill in the missing decimals in the gaps below.
The first one is done for you.
40% is the same as 0.4
90% is the same as
7% is the same as

Answers

Answer:

0.9

0.07

Step-by-step explanation:

please like..... ......

Keith spent 48 minutes to make 8 flyers how long was spent for each flyer

Answers

Answer:

6 minutes

Step-by-step explanation:

48/8=6

How did ancient camels differ from those of today

Answers

Como pongo mi brainly en español porq esta en inglés

Michelle has 18.9 yards of string. She cuts the string into 5 pieces of equal length.

How long is each piece?

Answers

Answer:

3.78 (see below)

Step-by-step explanation:

You would have to divide 18.9 by 5, as you're cutting 18.9 into 5 equal parts. Using long division, you can solve this. I have attached an image below for reference:

Answer:

3.78 yd

Step-by-step explanation:

took the test

Write a rule for the linear function shown in the graph.



y = 3x – 1



y = [tex]\frac{2}{y5}[/tex]x +1



y = -[tex]\frac{5}{2}[/tex]x -1



y = [tex]\frac{5}{3}[/tex]x +1

Answers

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

( 1 ,   − 2 )

Equation Form:

x = 1 ,   y = − 2

Step-by-step explanation:

Graph.

y = 3 x − 1

y = x + 1

y = − x − 1

y = x + 1

Make it correct please.

Answers

First one 2.74 and the second box 3.54 I believe sorry if I’m wrong

Answer:

1st box: 2.74

2nd box: 3.54

Step-by-step explanation:

It’s increasing by 0.2

Other Questions
please helppp!! ill give brainliest What did Judge Taney say about Dred Scott and how did it relate to the lawsuit?Help me please Im struggling For the pair of supply-and-demand equations, where x represents the quantity demanded in units of 1000 and p is the unit price in dollars, find the equilibrium quantity and the equilibrium price.p = 0.3x + 6 and p = 0.05x + 2.5equilibrium quantity unitsequilibrium price $ Write an inequality for each situation.1. up to 5 people, p, visited Mary today2. the value, v, of the hat is less than $93. the number of guests, g, coming for dinner is not 8.4. the distance of the race, d , is at least 6 miles.5. the time it takes to get to grandmas house, t, is longer than 2 hours.PLS HELP I NEED IT FOR TODAY A cat yaks a fur ball outward from the edge of a flat roof. The fur ball lands 0.75 s later on the ground a horizontal distance of 1 m away from the edge of the roof. What was the horizontal velocity of the fur ball? Rogelio pastel. (comer) O comen O comemos O comes come de qu color es el cielo Which nutrients supply your body with energy?mineralsvitaminswaterproteins Multiply or divide the two numbers, If the signs are the same, then the answer is ____ *options* " positive or negative " Write an equation 1)y=3x2)y=33)x=34)y=3x+3 There are two unknowns you are trying to find, and you cannot express one in terms of the other. Describe how you could use algebra to solve for the unknowns. who fought for human rights You measure a piece of rope and find its length to be 13 m. Find the percent error of this measurement. Round to the nearest hundredth.0.38%0.15%3.85%0.92% Can I get the answer please ? Tony made $208 for 13 hours of work. At the same rate, how many hours would he have ro work to make $144 -5/8+(-8/5) WHAT IS THE ANSWER Brainliest will be given!Which conclusion is most supported by the map?A. Voters in Oklahoma (OK) were likely to oppose business regulationsB. Voters in Georgia (GA) were likely to support more immigration.C. Voters in Minnesota (MN) were likely to oppose gun control laws.D. Voters in Idaho (ID) were likely to support same-sex marriage. pleaseee helpppppppp 5. Which is an example of an epidemic?a. Dengue fever in a small African townb. Swine flu cases reported in multiple countriesc. Smallpox outbreak on several continentsD. Worldwide deaths from tuberculosis Please help and explain your answer! Will mark brainliest