Brian draws a triangle on the coordinate plane and names it AMNB. The dilation
transformation D2 (2,y) = (2x, 2y) is applied to create AM'N'B' = = D2(AMNB)
A third triangle is created from the original triangle with a translation transformation,
AM"NB" =
T<0,10> (AMNB).
Based on the three triangles drawn, which statements are true? Select all that apply.
All three triangles are similar to one another.
Triangle MNB and AM'N'B' are similar to each other, but not to AM"NB".
Triangle MNB and AM"N"B" are similar to each other, but not to AM'N'B'.
None of the triangles are similar to each other.
All three triangles are congruent to one another
Triangle MNB and AM'N'B' are congruent to each other, but not to AM"NB"
Triangle MNB and AM"N"B" are congruent to each other, but not to AM'N'B'
None of the triangles are congruent to each other

Answers

Answer 1

The dilation transformation is a non-rigid transformation while the translation transformation is a rigid transformation.

The true statements are;

All three triangles are similar to one another.Triangle ΔMNB and ΔM''N''B'' are congruent to each other but not to ΔM'N'B'.

Reasons:

The given information are;

The transformation applied to ΔMNB to give ΔM'N'B' = A dilation transformation

Therefore, ΔM'N'B' = [tex]D_2[/tex](ΔMNB)

The third triangle, ΔM''N''B'', is obtained from the original triangle by a translation transformation as follows;

ΔM''N''B'' = [tex]T_{<0, \ 10>}[/tex](ΔMNB)

We have that the sides of the triangle ΔM'N'B' are proportional to the sides

of the triangle ΔMNB by the scale factor of dilation, therefore;

ΔM'N'B' is similar to ΔMNB

A translation transformation is a rigid transformation, therefore;

The dimensions of ΔMNB = The dimensions of ΔM''N''B''

Which gives;

ΔMNB ≅ ΔM''N''B''

Therefore, the true statements are

All three triangles are similar to one another.Triangle ΔMNB and ΔM''N''B'' are congruent to each other but not to ΔM'N'B'.

Learn more about the dilation and translation transformation here:

https://brainly.com/question/2644832

https://brainly.com/question/6314707


Related Questions

A triangle has a base of x^1/3 m and a height of x^1/2 m. If the area of the triangle is 16 m^2​, what are the base and height of the​ triangle?

The base is....and the height is......

Answers

Area = (base times height) / 2

Can rewrite it as

A= b * h * 1/2

16 = (x^(1/3)) * ( x^(1/2)) * (1/2))
Multiply by 2 to simplify
32 = x^(1/3) * x^(1/2)
32=x ^(5/6)
X=64

Base = 4
Height = 8

Please look below at how you multiply variables that have fractions as exponents (you need to add the exponents, common denominator and all that)

The base of the triangle is 4 m and the height of the triangle is 8 m.

What is the area of the triangle?

The are of the triangle is A = 1/2 × b × h

where 'b' is the base and 'h' is the height

For given example,

A triangle has a base of x^1/3 m and a height of x^1/2 m.

Also, the area of the triangle is 16 m^2​

⇒ [tex]b = x^{\frac{1}{3}} ~m,h=x^{\frac{1}{2} }~m, A=16~m^{2}[/tex]

Using the formula for area of the triangle,

[tex]\Rightarrow A=\frac{1}{2}\times b\times h\\\\\Rightarrow 16=\frac{1}{2}\times x^{\frac{1}{3} }\times x^{\frac{1}{2} }\\\\\Rightarrow 16\times 2=x^{\frac{1}{3} + \frac{1}{2} }\\\\\Rightarrow 32=x^{\frac{5}{6} }\\\\\Rightarrow 32^6=(x^{\frac{5}{6} })^6\\\\\Rightarrow 32^6=x^5\\\\\Rightarrow x=32^{\frac{6}{5}}\\\\\Rightarrow x=64[/tex]

So, the base of the triangle would be,

[tex]\Rightarrow b=x^{\frac{1}{3} }\\\\\Rightarrow b=64^{\frac{1}{3} }\\\\\Rightarrow \bold{b=4}[/tex]

and the height of the triangle would be,

[tex]\Rightarrow h=x^{\frac{1}{2}}\\\\\Rightarrow h=64^{\frac{1}{2} }\\\\\Rightarrow \bold{h=8}[/tex]

Therefore, the base of the triangle is 4 m and the height of the triangle is 8 m.

Learn more about the area of the triangle here:

https://brainly.com/question/27683633

#SPJ2

3mn = ?

m to the power of 2 + 3n = ?

Answers

Answer:

42069

Step-by-step explanation:

what is 621 divided by 9

Answers

Answer:

621/9=69

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

69x 9= 621

What is y + 5 = 7(x– 8) written in standard form?
Choose 1 answer:
A) x-7y=-61 B)-7x+y=-61 C) x+7y=-61
D) 7x + y = -61

Answers

Answer:

B)-7x+y=61

Step-by-step explanation:

y + 5 = 7(x– 8)

y + 5 =(7xX)(7x-8)

y + 5 =(7x)(-56)

y – 5 =(7x)(-56+-5)

y=7x-7x-61/

-7x+y=-61

solve for x thank you

Answers

Answer:9

Step-by-step explanation:

The answer got to be 6. So 6+3=9

Can anybody tell me if the answer I picked is right

Answers

Answer:

the answer is the second answer choice

Step-by-step explanation:

You have to pay close attention to the open and closed dots on beggining and end of your line

Which of the following is equivalent to 3x-5y=20?

A. Y=3/5x-4
B. Y=-3/5x-4
C. Y=3/5x+4
D. Y=-3/5x+4

Answers

Answer:

A. Y=3/5x-4

Step-by-step explanation:

with the original equation, subtract -3x.

with your new equation, divide by -5.

that should give you your answer

Please help you have to find the sides and stuff help plssss

Answers

Answer:

A) The side is 14 cm

B) The total distance around the whoole board is 56 cm

Step-by-step explanation:

So we know its a square.

A square is all equal sides

We got the area which is 196

So we know area of a square is L*W or S^2

And since all sides are equal we can square root 196

That would give you 14

So we know each side is 14

Part B is just perimeter, there are 4 equal sides so we can just multiply 14*4 which is 56.

CHECK:

So we want to check the sides are equal

Each side is 14

and area is 196

14*14=196

So its true

Answer: 14cm and 56cm

Step-by-step explanation:

14 x 14 is 196 for a

14 x 4 is 56 for b

2+2 i know the answer it’s just points

Answers

Answer: 4

Step-by-step explanation: yup

Answer:

4

Step-by-step explanation: 2 finger another 2 fingers B O O M  4

AM NEVOIE DE REZOLVARE URGENT!!!

Answers

Answer:

it won't let me download. I'm sorry have a nice day

Can somebody plz answer this question correctly thanks !
(I have to show my work) so can y’all say the steps that would be great :D

WILL MARK BRAINIEST WHOEVER ANSWERS FIRST!

Answers

so if 400 santa’s see 125 children a day, this means that in total, 50,000 children are seen each day.

i got this because 400 x 125 is 50,000.

since 50,000 children are seen each day, this means that we have to multiply 50,000 and 30 to get the final answer.

50,000 x 30 =

1,500,000 children are seen by Macy’s Santas in 30 days.

What are the answers here?

Answers

Answer: 1.)  Two ordered pairs (The first Box)                       2.) M (second Box)                      3.) B (The last box)

Step-by-step explanation: Hope this help :)

SOMEBODY PLEASE HELP QUICK!!! WILL GIVE BRAINLIEST

Carlos says that the XYZ is not congruent to PQR because there is no SSA theorem or postulate.


In two or more complete sentences, explain why or why not Carlos is correct. Justify your answer using triangle congruency postulates, theorems, and definitions.

Answers

Carlos is correct

Since we don't know the length of sides PR and XZ, the triangles can't be congruent by the SSS theorem or the SAS theorem, and since we don't know the measure of angles Y and Q, the triangles can't be congruent by the ASA theorem, the SAS theorem or the AAS theorem. Therefore, Carlos is correct.

Carlos is correct. Since the angles P and X are not included between PQ and RQ and XY and YZ, the SAS postulate cannot be used, since it states that the angle must be included between the sides. Unlike with ASA, where there is the AAS theorem for non-included sides, there is not SSA theorem for non-included angles, so the triangles cannot be proven to be congruent.

Please help me I need the answer for this question. correct one please

Answers

Answer:

C

Step-by-step explanation:

Ms. Williamson woke up one morning to find her basement flooded with water. She called two different plumbers to get their rates. The first plumber charges $36 just to walk in the door plus $28 an hour. The second plumber charges a flat $64 an hour.


a. What is the cost for each plumber if the job takes four hours?


b. How many hours did the first plumber take to do the job if he charged $176?


c. After how many hours will the cost for both plumbers be the same?

Answers

Answer:

A. $148 for the first plumber for 4 hours. $256 for the second plumber for 4 hour

B. He did 5 hours

C. 1 hours because the flat rate plus the hourly fee adding it together will equal 64.

Step-by-step explanation:

Your welcome

what is the simplified radical form for sqrt(36)?

Answers

answer is: sqrt is 6

Can an isoceles triangle be an obtuse triangle? Explain. ​

Answers

Answer:

it can and cant at the same time.

Yes, the hypotenuse must be longer than both of the other sides though for it to be obtuse.

ABC is isosceles.
A = 48° and B = 4x + 4.
С
x = [?]

Answers

Answer:

b= 11

c= 121

Step-by-step explanation:

equation for b-

48 = 4x + 4

48-4 = 44

44 / 4 = 11

11 = b

and then for c

48 + 11 = 59

180 - 59 = 121

you use 180 as the number to subtract from because thats how many degrees are in a triangle

This is also urgent

Answers

Answer:

$5004

Step-by-step explanation:

.4% of 5000 is $4 and adding that to 5000 makes the end result $5004

A city planner is mapping out some new features for a triangular park. She sketches the park on grid paper. The coordinates of the vertices of the park are (1, 1), (-3,4), and (1, 4).
The city planner wants to plant a tree at the orthocenter of the park. What are the coordinates of the tree?

Answers

1,1 i think kkkkkkkkkkkkkkkkk

Please help as soon as possible!! 75 POINTS!! Hurry please!!!

Answers

Answer:5

Step-by-step explanation:

4565

Patricia and her brother Ian help themselves to a pitcher of lemonade on the kitchen counter. Patricia takes a glass and fills it with p ounces of lemonade. Ian takes a bigger glass and pours himself 20% more lemonade than Patricia poured in her glass. Write an expression to represent the quantity of lemonade(in ounces) in Ian’s glass in terms of the quantity in Patricias glass (p).

Part A- Write an expressionism terms of p that shows how many more ounces Ian poured in his glass than Patricia poured in hers.

Part B-Write an expression in terms of p to represent the amount of lemonade (in ounces) Ian poured in his glass. Include two terms in your expression.

Part C- combine the like terms in the expression from part B to create an equivalent expression.

Part D- using the simplified expression you wrote in part C, and domain what it means to have 30% more of a given quantity.

Part E- suppose that Patricia drinks one-fourth of the lemonade in her glass. Write an expression in terms of p that represents the number of ounces Patricia drank.

Part F- in part E, Patricia drank one-fourth of the lemonade in her glass. Write and expression in terms of p that represents the number of ounces Patricia has left in her glass. Include two terms in your expression.

Part G- combine the like terms in the expression from part F to create an equivalent expression.

Part H- using the simplified expression you wrote in part G, explain what it means to have 1/4 less of given quantity.

Please help me I’m struggling on this!

Answers

Answer:

Part A: 0.20p or 0.2p (doesn't matter which one you use)

Part B: p + 0.2p

Part C: p + 0.2p = 1p + 0.2p =

   1.2p

Part D: increasing a quantity by 20% is the same as multiplying the quantity by 1.2

Part E: 1/4p ounces

Part F: p - 1/4p

Part G: = 3/4p

Part H: decreasing a quantity by 1/4 is the same as multiplying the quantity by 3/4

Step-by-step

What should you do during the editing stage of the writing process?

Answers

Check for typos, proper grammar (commas, capitalization, tense) you can also check for words that could be replaced with more advanced synonyms to make your writing more formal.

The coordinate grid below shows triangle ABC and its image after translation, triangle A'B'C':
10
A
B
0
B
c
Which of the following completes the rule for this translation, (x, y) - (x + 8,_.)? (5 points)
Oy-8
Oy-3
O y + 8
O y + 3

Answers

Complete Question:

The coordinate grid below shows triangle ABC and its image after translation, triangle A'B'C': Triangles ABC and A' B' C' are shown.

[tex]A = (-6, 10)[/tex]

[tex]B = (-7, 7).[/tex]

[tex]C = (-4, 6).[/tex]

[tex]A' = (2, 7).[/tex]

[tex]B' = (1, 4).[/tex]

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

Which of the following completes the rule for this translation,

(x, y) → (x + 8, ___)?

Answer:

y - 3

Step-by-step explanation:

Given

See Complete Question

Required

Complete the rule of translation

Taking A and A' as a point of reference

[tex]A = (-6, 10)[/tex] and [tex]A' = (2, 7).[/tex]

By comparing the x coordinates of A and A'

[tex]-6 + k = 2[/tex]

Make k the subject

[tex]k = 2 + 6[/tex]

[tex]k = 8[/tex]

So, the x coordinate is translated by x + 8

Similarly,

By comparing the y coordinates of A and A'

[tex]10 + k = 7[/tex]

Make k the subject

[tex]k= 7 - 10[/tex]

[tex]k = -3[/tex]

So, the y coordinate is translated by y - 3

Hence, the complete translation is: (x + 8, y - 3)

Answer:B.y-3

Step-by-step explanation:

On average, cody runs 4 miles in 38 minutes. How fast should he plan to run a 10-mile race if he maintains this place.
A: 1 hour 3 minutes
B: 1 hour 16 minutes
C: 1 hour 35 minutes
D: 2 hours 30 minutes

Answers

Answer:

Step-by-step explanation:

C is the correct answer

i give out brainlist .write and solve the proportion in the complele statement.
1. 3 oz = _______ g

Answers

Answer:

hi its me again :3

3oz=85.048g

Step-by-step explanation:

:)

$1.29 + $2.52+$2.23+$1.50.
please help ​

Answers

Answer:

$7.54

Step-by-step explanation:

Answer:

$7.54

Step-by-step explanation:

you solve by adding all the money together

A tennis team bought 5 tennis rackets that usually cost $45.00 each at a discount of 65% per
racket. How much did the team spend for the 5 tennis rackets, before tax?
WHO WANTS BRAINLIEST ANSWER??

Answers

Answer: $78.75

Work:

45x5=225

45x0.65=29.25

29.25x5=146.25

225-146.25=78.75

please help i’ll mark brainliest

Answers

Answer:

Did you get it correct

Each month the fire department hosts spaghetti feed. This month, 26 people attended the spaghetti feed. This was 2 more than twice as many people than were at the spaghetti feed last month. Write and solve an equation to determine how many people attended last month's spaghetti feed.

Answers

Answer:

You can do 26/2=13 and then 13-2=11 which means 11 people were there last months

Step-by-step explanation:

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