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


Which explains why the graph is not a function?

Answers

Answer:

the points are not joined hence not a function

Answer:

Imma say its option 2 thats the only one that makes any sense good luck

Step-by-step explanation:

Someone please help look at the picture please anything would help

Answers

The first two are no then the last one is yes :)

please click to go to my question pleaseeeeeeeee https://brainly.com/question/19665659
click click
plz clickkkkkkkkkkkkkkkk\

Answers

Answer:

.

Step-by-step explanation:

Answer:

Step-by-step explanation:

A group of preschoolers has 7 boys and 27 girls. What is the ratio of girls to all children?

A. 27:7
B. 7:27
C. 27:34
D. 34/27

Answers

it is c because the girls are first and that’s 27 then you do it to the total amount of kids

if x^2 = k + 1, then x^4 - 1 / x^2 + 1 =

Answers

Step-by-step explanation:

Since (x² + 1)(x² - 1) = x⁴ - 1,

(x⁴ - 1)/(x² + 1) = x² - 1 = k.

What is the answer and plz give me step by step explaining

Answers

Answer: 5/7

Explanation:

You start with 6 + 8(x - 1) = 2(3x + 4)
Wow. That looks like a lot, so you need to take it one step at a time. Because of PEMDAS (Please Excuse My Dear Aunt Sally), which gives us the order of Parentheses (), Exponents(Baby Numbers), Multiply or Divide from left to right according to where it is in the problem, and Add or Subtract from left to right according to where it is in the problem, you need to look at your parentheses first. Let’s start with
8(x - 1). 8 is touching those parentheses all by itself, so it’s being multiplied with the stuff in the parentheses. 8 times x is 8x and 8 times 1 is 8. That gives you

6 + 8x - 8 = 2(3x + 4)

Do the same thing with 2(3x + 4). 2 is touching those parentheses all by itself so you multiply it by the stuff inside to get 6x + 8. You now have

6 + 8x - 8 = 6x + 8

But where do we go from here? Okay well what you’re trying to do is get a single x by itself on one side of the equals and the answer on the other side. So, we have

6 + 8x - 8 = 6x + 8

Let’s start on the left side with 6 + and - 8. If you have 6 and you take 8 away, you can’t because you’ll still need 2, so 6 - 8 = -2. That leaves you with

8x - 2 = 6x + 8

Then, you take the 6x from the right side and add it to the 8x on the left. You have 14x. This gives you

14x - 2 = 8

Look at -2. We want to get rid of that, so we would do the opposite of - which is + so we would add.

14x - 2 = 8
+ 2 + 2
——————
14x = 10

Now look at 14x, which is the same as 14 times x. The opposite of multiplying is dividing so divide.

14x = 10
/14 /14

X = 10/14 which simplifies into 5/7

Math pic is below
Thanks

Answers

I believe the answer is Q = 90

Answer:

q = 90

Step-by-step explanation:

q / 18 = 5.

Multiply both side by 18.

q /18 × 18 = 5 × 18

q = 90.

Subtract 8 feet from 9 yards, 1 foot.
A. 6 yards, 2 feet
B. 7 yards, 1 foot
C. 6 yards, 1 foot
D. 1 yard, 1 foot​

Answers

Answer: B

Step-by-step explanation:

I knew I would have 1 foot left so that made sure it wasn’t A then I knew that it the answer had to be in yards so I convert 8 feet into yards which becomes 2.7 so it’s not three which makes I’m not C. So 9 yards minus 2.7 yards would equal the answer B

Answer:

your answer should be A let me know

Step-by-step explanation:

A

These points are linear. Find the slope.

Answers

Answer:

5

Step-by-step explanation:

To find the slope of a line, you need to find the [tex]\frac{rise}{run}[/tex] between two points. I will be calculating the slope using the two points (2, 10) and (3, 15).

Slope = [tex]\frac{rise}{run}[/tex]

          = [tex]\frac{15-10}{3-2}[/tex]

          = 5

the sum of 5 and a number x


plz help
due by 11:59

Answers

Answer:

x+5 is the answer.............

Answer:

[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\red{S}\green{W}\purple{E}\blue{R}}}[/tex]

⇒. x +5

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

The dance team has three cupcake sales a
year to raise money. The amount of money
they make is a function of the amount of
people who buy cupcakes. This function is
represented by the three ordered pairs (40,
100), (70, 175) and (90, 225). What is the
domain of this function?
help

Answers

Answer:

40,70,90

Step-by-step explanation:

what is the quotient 2 1/5 over negative 1/10​

Answers

Answer:

25

Step-by-step explanation:

Answer:

-22

Step-by-step explanation:

those 2 1/5 divided by 1/10 = -22

Please help me now ​

Answers

Answer:

Step-by-step explanation:

C:  Side-Angle-Side

3. Given the equation determine:
f(x)= x² - 4
f(-3)

Answers

Answer:5

Step-by-step explanation: F(-3)=(-3)^2 -4

(-3)^2=9

F(-3)=9-4

F(-3)=5

Answer:

5

Step-by-step explanation:

What is the equation of a line perpendicular to -x+2 =y that intersects the line at (-1.5.3.5)?
y = x + 2
O
y = x +5
O
y = -x+2
O
y = -x +5
о

Answers

Answer:

y=x+5

Step-by-step explanation:

Match each multiplication expression with the number of decimal places in its product

Answers

Answer:

Step-by-step explanation:

Digits after the decimal in a number decide the number of decimal places.

If there are 1 digit after the decimal, decimal place will be one decimal place.

Similarly, 2 digits after the decimal, decimal place will be two decimal place.  

1). 4.2(0.938) = 3.9396 (Four decimal places)

2). 0.9(29.3) = 26.37 (Two decimal places)

3). 18(5.75) = 103.50 (Two decimal places)

4). 0.48(12.19) = 5.8512 (Four decimal places)

5). 3.21(2.4) = 7.704 (Three decimal places)

6). 50.7(14.06) = 72.842 (Three decimal places)  

Answer:

The person above me is right.

Step-by-step explanation:

I did it on edge and got it right.

Help if your smart plzzzzzzz
( will give 35 pts and brainliest)

Answers

Answer:

a) alternate interior angles theorem

b) OXP ≅ XOL

c) XO ≅ OX

d) reflexive property  (i'm not sure about this one)

e) ΔXOP ≅ ΔOXL

f) cpctc

make sure to double check the fourth one

Find the value of this expression if x = 5 and
y = 2.
xy^2/-3

Answers

Answer:

The value of this expression is:

[tex]\frac{xy^2}{-3}=-\frac{20}{3}[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{xy^2}{-3}[/tex]

Apply the fraction rule: a/-b = -a/b

[tex]\frac{xy^2}{-3}=-\frac{xy^2}{3}[/tex]

substituting x = 5, y = 2 in the expression

      [tex]=-\frac{\left(5\right)\left(2\right)^2}{3}[/tex]

       [tex]=-\frac{\left(5\right)\left(4\right)}{3}\:[/tex]

       [tex]=-\frac{20}{3}[/tex]

Therefore, the value of this expression is:

[tex]\frac{xy^2}{-3}=-\frac{20}{3}[/tex]

which number is rational
A. square root of 16/6
B square root of 6
C. square root of 36/16
D. square root of 36/6

Answers

Answer:

36/16

Step-by-step explanation:

the answer is C-36/16

2 markers fewer than m packs of markers that have 9 markers in each pack

Answers

Answer:

9m-2

Step-by-step explanation:

There are m packs of markers, with 9 markers in each, so you multiply and get 9m. Then it says two markers fewer and that means subtract so it'’s 9m-2

Which system of equations has no solution?

5 x + 5 y = 10 and 2 x + 2 y = 4

3 x minus 6 y = 4 and negative 4 x + 8 y = 7

6 x + 2 y = 6 and 7 x + 3 y = 9

3 x minus 4 y = 16 and 2 x + 3 y = 5

Question #2

Two linear equations are represented by using the tables below.

A 2-column table with 4 rows is titled Equation A. Column 1 is labeled x with entries negative 5, negative 2, 0, 1. Column 2 is labeled y with entries negative 4, negative 1, 1, 2.
A 2-column table with 4 rows is titled Equation B. Column 1 is labeled x with entries negative 6, negative 3, 3, 6. Column 2 is labeled y with entries negative 4, negative 2, 2, 4.

The data points for equation A are plotted on the coordinate plane below and are connected by using a straight line.

On a coordinate plane, a line goes through points (negative 5, negative 4), (negative 2, negative 1), (0, 1), (1, 2).

What is the solution to the system of equations?
(–6, –4)
(–5, –4)
(–3, –2)
(0, 1)

Answers

Answer:

is (-3,-2)

Step-by-step explanation:

because you are graphing them on a chart find

Answer:

3 x minus 6 y = 4 and negative 4 x + 8 y = 7

Did the unit test review got it right.

Step-by-step explanation:

Amelia wants to rearrange the furniture in her room. She makes a scale drawing of her rectangular room,
in which every 2 inches represents 5 feet. On her scale drawing, the area of the room is 24.96 square
inches. If one side of her room is 12 feet long, how long is the other side of her room, in feet?

Answers

Answer:

The other side = 13 feets long

Step-by-step explanation:

Given that :

Scale of drawing : 2 inches represents 5 feets

Area of rectangular room according to scale drawing = 24.96 in²

Length of one side of the room = 12 feets

Length of other side = x

Area of rectangle = Length * width

If :

2 inches = 5 feets

x = 12 feets

x = (12 *2) / 5

x = 4.8 inches

Hence,

For the scaled drawing :

4.8 * width = 24.96

Width = 24.96 / 4.8

Width = 5.2 inches

Converting to feets according to scale:

2 inches = 5 feets

5.2 inches = x feets

x = (5.2 * 5 ) / 2

x = 13 feets

Other side is 13 feets long

A scarce gem’s value increases exponentially at 4% per year. If one is worth $5200 this year, when will its value exceed $10000?

Answers

Answer:

92, Hope this helps

Step-by-step explanation:

10000-5200= 4800/52 = 92.307 rounded up = 92

vincent has cut three pieces of rope to complete a science project

Answers

Answer:                            

Cool______________________________________________

please help!!!!!! 13 points

Answers

Answer:

4.5 and 6

Step-by-step explanation:

Answer:

x 2 4 6 7   9

y 1 2 3 3.5 4.5

Step-by-step explanation:

can I have brainliest

Which equation could generate the curve in a graph below?

Answers

pretty sure its the 3rd one
Uhh maybe 3? I think???

In a production process, the probability of manufacturing a defective rear view mirror for a car is 0.075. Assume that the quality status of any rear view mirror produced in this process is independent of the status of any other rear view mirror. A quality control inspector is to examine rear view mirrors one at a time to obtain three defective mirrors. Determine the probability that the third defective mirror is the 10th mirror examined.

Answers

Answer:

The probability that the 3rd defective mirror is the 10th mirror examined = 0.0088

Step-by-step explanation:

Given that:

Probability of manufacturing a defective mirror = 0.075

To find the probability that the 3rd defective mirror is the 10th mirror examined:

Let X be the random variable that follows a negative Binomial expression.

Then;

[tex]X \sim -ve \ Bin (k = 3 , p = 0.075)\\ \\ P(X=x)= \bigg (^{x-1}_{k-1}\bigg)\times P^k\times (1-P)^{x-k}[/tex]

[tex]= \bigg (^{10-1}_{3-1}\bigg)\times 0.075^3\times (1-0.075)^{10-3}[/tex]

[tex]= \bigg (^9_2\bigg)\times 0.075^3\times (1-0.075)^{7}[/tex]

[tex]= \dfrac{9!}{2!(9-2)!}\times 0.075^3\times (0.925)^{7}[/tex]

[tex]= \dfrac{9*8*7!}{2!(7)!}\times 0.075^3\times (0.925)^{7}[/tex]

= 0.0087999

≅ 0.0088

HELP PLS!!
Provide the length of x

Answers

Answer:

10

Step-by-step explanation:

the mid-segment, 5, is parallel to the base of the triangle and the side that the mid-segment is parallel to is always double the length of the mid-segment, so the base of the base is 10. this triangle is an equilateral triangle so the side, x, is also 10.


Find the amount of state tax withheld if your Gross pay is $43,300, and the tax rate 5%

A. $2156
B. $2165
C. $1965
D. $1959

Answers

Answer:

a

Step-by-step explanation:

Plz help me with this plz I am marking branliest to correct answer plzzzzz

Answers

Answer:

Step-by-step explanation:

(a). ASA ≅ ASA

   If two consecutive angles and the included side of a triangle are congruent to the two consecutive angles and the included side of another triangle, both the triangles will be congruent.

(b). SSS ≅ SSS

If three sides of a triangle are congruent to three sides of another triangle then both the triangles will be congruent.

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