Triangle ABC is reflected across the y-axis to form the triangle A'B'C', then dilated
with a factor of 1/3 to form triangle A"B"C". Which of the following statements is
true for AABC and AA"B"C'?
O A) AABC and AAB"C" are similar triangles.
B)
There's not enough information to identify whether AABC and AA"B"C" are
congruent or similar.
C) AABC and AA"B"C"are congruent triangles.
D AABC and AA"B"C" are neither similar nor congruent.

Answers

Answer 1

Given:

Triangle ABC is reflected across the y-axis to form the triangle A'B'C'.

Then dilated  with a factor of 1/3 to form triangle A"B"C".

To find:

The correct statement for triangles ABC and A"B"C".

Solution:

We know that reflection is a rigid transformation, it means size and shape of the figure remains same after reflection.

So, figures are always congruent to their images after reflection.

[tex]\Delta ABC\cong Delta A'B'C'[/tex]       ...(i)

Dilation is not a rigid transformation. Here, shape remains same nut the size is different.

So, figures are always similar to their images after dilation.

[tex]\Delta A'B'C'\sim \Delta A"B"C"[/tex]        ...(ii)

Using (i) and (ii), we get

[tex]\Delta ABC\sim \Delta A"B"C"[/tex]

ΔABC and ΔAB"C" are similar triangles.

Therefore, the correct option is A.


Related Questions

please help me please​

Answers

Answer:

y=1

10/5=2

Step-by-step explanation:

In this figure m∠A=(2x-2)°, m∠C=(4x-6)°,and m∠DBC=(5x+4)° What is m∠C
SHOW YOUR WORK will give 100 points!!

Answers

Answer:

answer 500

Step-by-step explanation:

2x2-40x33 divided by 2 and boom answer 500

Anser:

m∠C=42

Step-by-step explanation:

(2x - 2) + (4x - 6) = (5x + 4)

(6x - 8) = (5x + 4)

-4 -4

6x - 12 = 5x

-5x -5x

1x = 12

So 4 * 12 - 6 = 42

m∠C=42

pls help having a hard time understanding I just need the answers

Answers

Answer:

B

Step-by-step explanation:

Basically, you can rule out all of the other answers by the following criteria:

A is wrong because any y= equation without an x is just a straight horizontal line

C is wrong because any x= equation is just a vertical line

D is wrong because both lines shown are positive lines, and both equations in  answer D are negative

Therefore by process of elimination, the only answer that makes sense is B

assume that the variable under consideration has a density curve. it is given that 27.1% of all possible observations of the variable are less than 17. Determine the area under the density curve that lies to the right of 17.​

Answers

Answer:

72.9%

Step-by-step explanation:

Given that :

27.1% of all possible observation of a certain variable are less than 17 ;

That is ;

Let variable = y ;

Proportion of (y < 17) = 27.1% = (27.1 / 100) = 0.271

Proportion that lies to the right :

P(y > 17) = 1 - P(y < 17)

P(y > 17) = 1 - 0.271

P(y > 17) = 0.729 = 72.9%

If the interest of sum of money is 6 yrs in 3/8 of the principal . what is the rate of interest?​

Answers

Given that,

The interest of sum of money is 6 yrs in 3/8 of the principal.

To find,

The rate of interest.

Solution,

Let P is the principal. It means interest will be :

I=3/8 P

The formula for the interest is given by :

[tex]I=\dfrac{PRT}{100}\\\\\dfrac{3}{8}P=\dfrac{PR\times 6}{100}\\\\\dfrac{3}{8}=\dfrac{6R}{100}\\\\R=\dfrac{300}{8\times 6}\\\\=6.25\%[/tex]

Hence, the rate of interest is 6.25%.

10 POINTS !!!! solve using elimination -2x - y = 5 3x -y = -20 ( , )

Answers

Answer:

(-5,5)

Step-by-step explanation:  add the equations in order to solve first variable. put the value in the other equations to solve the remaining variables- math  way

Look at the table of values below.
х
у
1
-1
2
-3
3
-5
4
-7
Which equation is represented by the table?
O A. y=1 - 2x
OB. y=-x-1
OC. y = x - 2
OD. y=2x-1

Answers

don’t quote me but i think a

The equation is represented by the table is y= 4x - 1.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have the table

 x    y

 1    3

-1    -5

 2    4

-3   -7

 

Now, using the above table we can write the equation

(y - 3) = (-5-3)/ (-1-1)  (x- 1)

y - 3 = (-8) / (-2) (x -1)

y - 3 = 4 (x - 1)

y - 3 = 4x - 4

y = 4x - 4 +3

y= 4x - 1

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Apply the distributive property to convert the expression to the greatest common factor multiplied by a term in parenthesis.

36a+9=

40+50d=

28-7f=

Answers

Answer:

9(4a+1)=

10(4+5d)=

7(4-f)=

Step-By-Step Solution:

The greatest common factor is the largest number that both numbers can be divided by. For example, in #1, 36 and 9 can both be divided by 9 to become 4 and 1.

can anyone help me with this math question

Answers

The third is true

ok bye

lm'iranian

11years old

2 + 2
please tell me I am clueless

Answers

Answer:

22

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

put 2 fingers up then put up 2 more then count them all

Abracadabra 4

Question
Tara deposits $5,000 in a certificate of deposit. The annual interest rate is 7%, and the interest will be compounded
quarterly. How much will the certificate be worth in 10 years? Round your answer to two decimal places.

Answers

Answer:

Step-by-step explanation:

The formula for this is

[tex]A(t) = P(1+\frac{r}{n})^{nt}[/tex] where A(t) is the amount at the end of this whole mess, P is the initial investment, r is the interest rate as a decimal, n is the number of times the compounding is done per year, and t is the number of years. Filling in accordingly:

[tex]A(t)=5000(1+\frac{.07}{4})^{(4)(10)}[/tex] which simplifies a bit to

[tex]A(t)=5000(1+.0175)^{40[/tex] and a bit more to

[tex]A(t)=5000(1.0175)^{40}[/tex] Take care of the exponent first to get

A(t) = 5000(2.001597343) and multiply through to get

A(t) = 10,007.99

Answer:

$10048.31

Step-by-step explanation:

Estimate the coordinates of the point where the two lines meet.


Choose two equations that make up the system represented by the graph.

y=54x

y=6−2.5x

y=2.5x+6

y=6−3x

y=0.8x

Answers

Answer:
y = 6 - 2.5x
y = 0.8x

Using point-slope form, write the equation of the line that passes through (–3, 2) and has a slope of 5. A. (y – 2) = 5(x + 3) B. (y – 2) = 5(x – 3) C. (y + 2) = 5(x – 3) D. (y + 2) = –5(x + 3)

Answers

Answer:

A. (y - 2) = 5(x + 3)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)  

x₁ - x coordinate y₁ - y coordinate m - slope

Step-by-step explanation:

Step 1: Define

Point (-3, 2)

Slope m = 5

Step 2: Write Equation

Substitute in variables into general form.

y - 2 = 5(x + 3)

which transformation is happening in the image below​

Answers

Answer:

B.) Reflection over y=-3

Step-by-step explanation:

Suppose the sum of two integers is negative. Must both integers be negative? Explain.

Answers

Answer:

Not necessarily. There are many ways to write a basic equation with a negative answer. For example, -3-4 = -7. Here 4 is a positive number but because you subtract 4 to 3 or take away 4 from 3 being a negative number and so you get a negative answer. Another example is 6+(-9). There are a couple of ways you can resolve this. My method is to subtract 9 from 6 which gives you 3 and simply add a negative sign.

Let me know if you'd  like more examples. Hope this helps!! Sorry if it is confusing I can explain you in a more simpler way if you'd like.

Step-by-step explanation:

The sum of two integers is negative, here both integers are negative.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Given that the sum of two integers is negative.

And both integers are negative

Let a < 0, b < 0

Using a model  a + b < 0

Substitute the values a = -1, b = -2, and c = -3 in the inequality of model

⇒ (-1) + (-2)  < 0

⇒ -1 - 2 < 0

⇒ -3 < 0

So, the sum of two integers is negative.

Hence, the sum of two integers is negative, here both integers are negative.

Learn more about inequalities here:

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Find the x-intercept and y-intercept of the line given by the equation below. Then graph the line.
x + y = 2
X-intercept:
y-intercept:

Answers

y-intercept: (0,2)
x-intercept: (2,0)

graphed:
Y intercept: 0,2)

X intercept (2,0)

4. -5x-15=-3x+23
29. -107-7x=73-13x
EXPLAIN STEPS AND SHOW WORK
THANKS BROTHA
`•••~Low_Millenial~•••`
°°°°°°Tutor and pal°°°°°°°​

Answers

Answer:

x=-19  x=30

Step-by-step explanation:

-5x-15=-3x+23

    -23      -23

-5x-38=-3x

+5x        +5x

-38=2x

/2       /2

-19=x

-107-7x=73-13x

-73         -73

-180-7x=-13x

      +7x   +7x

-180=-6x

30=x

Meredith borrows $12,560 and pays 2% simple interest each year for 4 years. What is the total amount of interest that she will pay on the loan? ​

Answers

Answer:

A = $13,564.80

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 2%/100 = 0.02 per year.

Solving our equation:

A = 12560(1 + (0.02 × 4)) = 13564.8

A = $13,564.80

The total amount accrued, principal plus interest, from simple interest on a principal of $12,560.00 at a rate of 2% per year for 4 years is $13,564.80.

Answer:

its b

Step-by-step explanation:

2.
Mrs Yusuf went shopping at a superstore.
The pie chart shows information about the money she spent on petrol, on clothes, on food and on
other items
Puro
bao
Food
Clothes
(a) What did she spend most money on?

Answers

Answer:

Dude First show the pie chart

Mrs. Yusuf spend the most money on Food.

Given is pie chart showing the information about the money Mrs. Yusuf spent on petrol, on clothes, on food and on other items,

We need to identify the portion which tell that she spend the most money on that item,

So, we know that the more portion one item has on the pie chart the more she had spend on that item,

Here in the pie chart we can see the food portion is largest.

So, we can say she spend her most money on food items.

Hence the correct answer is Food.

Learn more about Pie chart click;

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which rectangle is similar to a rectangle 12 inches wide and 18 inches long

Answers

Answer:

do u have pics?

Step-by-step explanation:

9 divided by 315
Peals help

Answers

Answer:

0.028571429 or 1/35

Or if you meant 315 divided by 9 it’s 35

Step-by-step explanation:

9 ÷divided by 315 equals 0.02857 (rounded to five decimal places) or approximately 0.03.

When dividing 9 by 315, we set up the division equation: 9 ÷ 315. To perform the division, we start by dividing the first digit, 9, by the first digit of 315, which is 3. Since 3 can be divided evenly into 9, the quotient is 3.

Next, we bring down the next digit, 1, making the current dividend 15. We continue dividing 15 by 3, resulting in a quotient of 5. Finally, there are no more digits to bring down, so the division is complete.

Therefore, 9 ÷ 315 equals 0.02857 (rounded to five decimal places) or approximately 0.03.

Learn more about division here

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PLS HELP MY GRADE DEPENDS ON IT

Image is attached below

Answers

Answer: the first one

Step-by-step explanation: head math

Please help I don’t under

Answers

Answer:

x=30

Step-by-step explanation:

set the sum of both equal to 180 bc it makes a straight line

(x-1)+(5x+1)=180

add and subtract 1 from each side

x+5x=180

add like terms

6x=180

divide by 6

x=30

Answer:

D: x=30

Step-by-step explanation:

(x-1)⁰+ (5x+1)⁰=180⁰

x-1+5x+1=180

x+5x-1+1=180

6x=180

x=30

hi, please help me with this thank you!

Answers

5 hope this helps sorry if wrong

are any of these equations linear or nonlinear if yes what is the standard form
a. y=-7+6x
b. y=2x+5

Answers

Answer:

both are linear

a) 6x - y = 7

b) 2x - y = -5

Step-by-step explanation:

What if it is asking you to divide and not multiply?

Answers

Answer:

Then you divide :)

<3 Enjoy,

    Dea

There are 12 1/4 pounds of candy canes to split between four classes evenly. How many pounds of the candy canes will each class get ?

Answers

each class gets 3 and 1/16 pounds

each class will receive 3 1/16.

f(x + 1) = 2x + 1
g(x + 1) = x-5
> (fog)(2) = ?

Answers

Can you provide me with a picture so that I can help you answer this question?

Last night, the Knicks made 12 free throws. If their free throw percentage is 75%, how many free throws were attempted? (READ CAREFULLY!)

Answers

16 free throws were attempted

Answer:

16

Step-by-step explanation:

12 / 16 = 0. 75

i found this by dividing 12 by 0.75

pls help! will give brainliest!!!

Answers

Answer:?????

Step-by-step explanation:

what do u need help with/?//???/???

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