triangle has vertices A( 0,0 ), B(2, 0) and C(0, 4). Angle ABC is transformed to angle A"B"C" by a rotation of 180 degrees clockwise about the origin, followed by a dilation with the origin as the center of dilation and scale factor of 3. find the coordinates of the vertices of angle A"B"C" and state whether the two triangles are similar or congruent.

Answers

Answer 1

Step-by-step explanation:

The pre-image points are A( 0,0 ), B(2, 0) and C(0, 4). The question is asking you to rotate the traingle 180°. Each rotation has its rules. For 180° rotation our rule is (x,y) → (-x,-y). Let's apply that to our points:

A( 0,0 ), → (0,0)

B(2, 0) → (-2,0)

and C(0, 4). → (0,-4)

Now we dilate our point ( remember the order in which you do transformation is important. Since it saids the rotation is followed that means the dilation is done second)

Our scale factor is 3. Remember when our scale factor is more than one our shape gets bigger. So our rule is (x,y) → (kx,ky). Let's apply our scale factor to all our points:

(0,0) → (0,0)

(-2,0)→( -6,0)

(0,-4) → (0,-12)

The answer is

A' (0,0) B' (-6,0) C' (0,-12)

The triangles will be similar not congruent. Remember congruent triangles have the same angles and same sizes. Similar angles have the same angles BUT different sizes. Every transformation produces congruent angles except for dilations.


Related Questions

Am i the only one that watches Osman??

Answers

Someone else in the world may watch it but personally i do not.

Answer:

Please Give Brainliest

Step-by-step explanation:

what is the circumference of a circle that that is d=23 ft.

Answers

72.26 is the answer I think

Answer:

72.26ft

Step-by-step explanation:

I need help please i

Answers

Answer:

5

Step-by-step explanation:

the answer is somewhere by 5

WILL GIVE BRAINLIEST AND 20 POINTS!
Find the LCM.
11, 13
STEP 1: Define the LCM (least common multiple).
The least common multiple (LCM) of two or more numbers is the smallest number that is a multiple of all the numbers.
The LCM can be found by first writing each number as a product of prime factors.
The LCM must contain all the prime factors of each number.

STEP 2: Determine the prime factorization of each number.
Determine the prime factorization of 11.
11 =


Determine the prime factorization of 13.
13 =


STEP 3: Multiply all of the prime factors.
11 ×
=
LCM =

Answers

Answer:

143...is the lcm...

Step-by-step explanation:

lcm (11; 13) = 143: least common multiple, calculated. Numbers have no common prime factors: 143 = 11 × 13...................

Which situations can be represented by an exponential function?

Select each correct answer.



The value of a vehicle decreases by 11% each year.
In a structure made of bricks, each row has 10 more bricks than the previous row.
A dentist's office accepts 15 new patients each month.
Every year, the number of online video subscriptions increases by 3 times what is was the previous year.

Answers

Answer:

The answer is IC and D I just finished the text

Step-by-step explanation:

find the distance of a cord 8cm from the centre of a circle of a radius 5 cm​

Answers

Answer:

d = 3 cm

Step-by-step explanation:

Given that,

The distance of a cord, c = 8 cm

The radius of the circle, r = 5 cm

Half of the cord = 4 cm

We need to find the distance of a cord from the centre of the circle. We can find it using Pythagoras theorem,

[tex]5^2=d^2+4^2\\\\d^2=25-16\\\\d=3\ cm[/tex]

So, the required distance is 3 cm.

Boots are now $33 with 40% off. What is the original price ?

Answers

Answer:

40% of 82.5 is 33

Step-by-step explanation:

Sorry I am late, have a wonderful day!


Which of the following graphs could describe the system of equations?
A Blue
B Green
C Pink
D Purple

Answers

Answer:

The answer is...

Step-by-step explanation:

Purplea

Dane needs to cut 4 strips of border for his rectangular project board. The project board has a length of 12 1/2 inches and a width of 6 1/4 inches. How much border will Dane have left if the border comes in a 60-inch roll?

Answers

22.5 inches left. Calculate all the inches then subtract from 60.

What is 50% of 33 show work please​

Answers

Answer:

16.5

Step-by-step explanation:

50 x 33

-------------

100

= 16.5

Solve the system. Estimate the solution first. Enter whole numbers for the estimated solution and
improper fractions in simplest form for the algebraic solution.
6x + y = 4
x - 4y = 19
The estimated solution is
The algebraic solution is

Answers

x= 4y+19
6(4y+19)+y=4
24y+114+y=4
24y=110
y= 4.583333
y=5

x-4(4.58333)=19
x-18.3332=19
x=37.3332
x=37

A student has $30. Berries cost $3 per pound.Which inequaility shows n, the number of pound he can buy?

Answers

Hi, not sure if I’m absolutely correct but it should be 10 pounds

The ratio of dogs to people at the park is 3 to 4. There are 336 total
dogs and people at the park.
How many people are at the park?

Answers

Answer:

you got this u are really smart

Step-by-step explanation:

3+4=7
336/7 is 48
48 per part
48x4 is 192
192

Please help ASAP! Due in 10 mins

Answers

Answer:

C : The coefficients and constants will always be the same

Step-by-step explanation:

This is because infinitely many solutions means that the lines are both right on top of each other and there is not an intersection.

Haley made 88% on a history test. The
test had 50 questions of equal point value.
How many questions did Haley miss?

Answers

Answer:

She missed 6 questions.

Step-by-step explanation:

88% can be written as (88/100) or as 0.88.

You can set this as a ratio problem which is,  

88/100 = correct/50

correct = (88/100)*50       (multiply both sides by 50)

correct = 44

So, 50 (total questions) - 44 = 6 incorrect questions

Find the area of the composite figure.

Answers

36 I believe is the answer

Have a good day

Answer:

144

Step-by-step explanation:

Mr. And Mrs. Jenkins wanted to make a down payment of $25,000 on a house. If the house costs $125,000, what percent is this?

Answers

Answer:

20%

Step-by-step explanation:

Mr. And Mrs. Jenkins wanted to make a down payment of $25,000 on a house. If the house costs $125,000, what percent is this?

The Percentage of the down payment is given as:

Down payment/Cost of the house × 100

Down payment = $25,000

Cost of the house = $125,000

$25,000/$125,000 × 100

= 20%

The percentage is 20%

Find the
common factors of 5x²y and - 3x​

Answers

The common factor of 5x2 is y5x

In the middle school band, there is 1 oboe for every 7 clarinets. Identify three equivalent ratios to compare the oboes to the clarinets.

Answers

Answer:

지금 당장받는 퀴즈에 대한 도움이 정말 필요 해요 ... 그냥 질문에 무작위로 답 해주셔서 ... 미안 해요 미안 해요 .. 또한 몬스타 엑스를 아시나요, 그들은 정말 좋은 그룹입니다

Step-by-step explanation:

Answer:

1/7, 2/14, 3/21

Step-by-step explanation:

Finished the quiz and got 100%.

Sandra wrote the sequence shown:
7, 14, 25, 40, 59
Complete each of the 2 activities for this Task.
Activity 1 of 2
What explicit expression can be used to find the nth term of this sequence?

Answers

Answer:

2n^2 + n + 4.

Step-by-step explanation:

7, 14, 25, 40, 59

The differences  are 7, 11, 15, 19 which is  arithmetic sequence so the given sequence is quadratic.

Compile a table:

n                     1      2      3      4      5

term               7    14    25    40    59

Diff:                    7      11     15     19

Diff:                      4       4      4            - this indicates that first part is 2n^2.

2n^2               2    8    18    32     50

term-2n^2      5    6    7     8        9

- the nth term for the last sequence is  5+ (n - 1)d =  

= 5 + (n - 1)* 1

= n + 4.

So nth term for the original sequence is 2n^2 + n + 4.

A rectangular prism has a volume of 320 cubic feet. If the area of the base is 80, what is the height of the figure?
a.10ft
b.240ft
c.4ft
d.400ft

Answers

Answer:

Step-by-step explanation:

H = 320/80 = 4 ft

Help me ASAP pleaseeee

Answers

Answer:

no

yes

no

yes

Step-by-step explanation:

What algebraic representation best describes the transformation below?

A. (x, y) --> (2x, 2y)
B. (x, y) --> (x+1, y+2)
C. (x, y) --> (1/2x, 1/2y)
D. (x-2, y+1)

Answers

Answer:

A. (x, y) --> (2x, 2y)

B. (x, y) --> (x+1, y+2)

C. (x, y) --> (1/2x, 1/2y)

D. (x-2, y+1)

Urgent please!!! I really don’t understand it, tysm to anyone who can answer thissss :))))

Answers

Given:

The frequency distribution table.

To find:

The mean average score on a test.

Solution:

The frequency distribution table is

[tex]Marks (x_i)[/tex]                   [tex]Frequency(f_i)[/tex]                  [tex]f_ix_i[/tex]

     x                                     a                               xa

     y                                     b                               yb

     z                                     c                               zc

  Sum                              a+b+c                          xa+yb+zc

Now, the mean average score on the test is

[tex]Mean=\dfrac{\sum f_ix_i}{\sum f_i}[/tex]

[tex]Mean=\dfrac{xa+yb+zc}{a+b+c}[/tex]

Therefore, the mean average score on the test is [tex]\dfrac{xa+yb+zc}{a+b+c}[/tex].

The answer choices are:

Y=-4
Y=1
X=-4
X=1

Answers

Answer:

y=1

Step-by-step explanation:

tysm for all your help Here is a crown and points. contest the first answer will get a mark

Answers

WWWWWWWWWWWWWHHHHHHHHHHHHHHHHHHHHAAAAAAAAAAAAAAAAAAAAATTTTTTTTTTTTTTTTTT

Answer:

AHH

Step-by-step explanation:

THIS IS URGENT

Simplify 5^3/4 divided by 5^5/9 by substituting a numerical value for a in the expression.

5^a

Answers

Answer:

a=7/36...............

Need help with finding X

Answers

Answer:

Step-by-step explanation:

Can someone answer this please: 37.3 rounded to the nearest integer

thank you <3​

Answers

Answer:37

Step-by-step explanation:

rounding to the nearest integer is what is in the tenth place so .1 is in the tenth place so 37.3 rounded to the nearest tenth place would be 37

work out the value of x and y?

Answers

Step-by-step explanation:

x = 49° { being vertically opposite angles }

y = 63° (being alternate angles)

Hope it will help :)

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