3.05 Quiz: Congruent Polygons and Their Corresponding Parts. Pls help ;-;

3.05 Quiz: Congruent Polygons And Their Corresponding Parts. Pls Help ;-;

Answers

Answer 1

Answer:

The correct options are presented as follows;

ΔABC is reflected across the y-axis to become ΔA'B'C' is rotated 90° counterclockwise about the origin to become ΔA''B''C''. Because the transformations are rigid transformations the preimage and image are congruent

Step-by-step explanation:

The coordinate of the preimage point A = (-2, 1)

The coordinate of the image point A' = (2, 1)

Similar for points B(-5, -2) and B'(5, -2), C(-3, -4) and C'(3, -4)

Which is equivalent to a reflection across the y-axis

Similarly, we have;

The coordinate of the preimage point A' = (2, 1)

The coordinate of the image point A'' = (-1, 2)

Which is equivalent to rotation of 90° counterclockwise which involves transforming a preimage (x, y) to an image (-y, x)

Similar for points B and B', C and C'

Therefore, because the reflection transformation, and the rotation transformation, are rigid transformation, the figures of the preimage and the image are congruent

Therefore, we have;

ΔABC is reflected across the y-axis to become ΔA'B'C' is rotated 90° counterclockwise about the origin to become ΔA''B''C''. Because the transformations are rigid transformations the preimage and image are congruent.


Related Questions

can a system of linear equation have exactly 2 solutions ? why or why not?

Answers

Answer:

Under normal circumstances a system of two linear equations can have 0, 1 or infinitely many solutions.

Step-by-step explanation:

The principal of a large high school wants to learn about student opinion regarding remote learning versus in person learning. Each of the following methods introduces a possible source of bias. Name the type of bias . a. The principle selects a random sample of students from those who signed up for remote learning. b. The student emails a random sample of 100 students, but only 28 students respond . c. The principal surveys the first 50 students that submit their learning preference for the upcoming school year.

Answers

Answer:

Step-by-step explanation:

the students that are in the survey are in it because they like the subject, rather than picking students from both types of groups, the ones that aren't doing remote learning and the ones that are doing remote learning.

Bias occurs when a particular portion of the population is given more weight or have a higher priority during sample selection which in turn affects the outcome and result of our result as it won't be representative of the population. The type of bias introduced in the scenarios above are :

Selection bias Non - response bias Undercoverage bias

Selection bias occurs when only a particular faction of the population is used rather than the entire population during sample selection. Rather than making selection from the entire students, only those who signed for remote learning were sampled.

Non - response bias occurs when a large portion of the selected sample fail to participate in a survey. With only 28% response and 72% non - responsive. Non - response bias has creeped in.

Undercoverage bias is usually associated with convenience sampling as the selection made might fail to randomly cover the entire population.

Hence, selection, non - response and Undercoverage bias are present in the selection made by the principal.

Learn more :https://brainly.com/question/18405415

A blueprint for a house has a scale of 1:30. A wall in the blueprint is 3 in. What is the length of the actual wall?
30
60
90
120

Answers

Answer:

C.90

Step-by-step explanation:

1 inch = 30

30 * 3 = 90

Terrence took a total of 16 pages of notes during 8 hours of class. In all, how many hours will
Terrence have to spend in class before he will have a total of 18 pages of notes in his
notebook? Assume the relationship is directly proportional.

Answers

16 pages/8 hrs

2 pages/ he

18/2=9

18 pages/9 hrs

9 hours is your answer.

Answer to this? Only comment if you know!! Thank you :D

Answers

Answer:

a = 35°

Step-by-step explanation:

The angles in a triangle always add up to 180°

∴ 33 + 112 + a = 180

∴a=35°

How many solutions does the nonlinear system of equations graphed below
have?

Answers

The system has two because each solution is the point where two lines are crossing each other.

Solve for C p=b+c/5 I need help

Answers

Answer:

Step-by-step explanation:

p =  b + c/5                     Subtract b from both sides

p - b = c/5                       Put brackets around the left side

(p - b) = c/5                     Multiply by 5

5(p - b) = c

can u peoples help me

Answers

I think it goes in the one line of symmetry

Calculate the quotient
2/5 divided by 3 4/7
Pls help lol this is due tomorrow

Answers

Answer:

8/105

Step-by-step explanation:

Answer:

the answer is 14/125

Step-by-step explanation: do keep flip switch

2/5 stays the same change the mixed number into a fraction so the new fraction is 25/7 then flip 25/7 to 7/25 then multiply 2/5 by 7/25 and that give s u 14/125

hopefully this helps out

Find the modulus of the complex number 6-2i

Answers

Answer:

The modulus of the complex number 6-2i is:

[tex]|z|\:=2\sqrt{10}[/tex]

Step-by-step explanation:

Given the number

[tex]6-2i[/tex]

We know that

[tex]z = x + iy[/tex]

where x and y are real and [tex]\sqrt{-1}=i[/tex]

The modulus or absolute value of z is:

[tex]|z|\:=\sqrt{x^2+y^2}[/tex]

Therefore, the modulus of [tex]6-2i[/tex]  will be:

[tex]z=6-2i[/tex]

[tex]z=6+(-2)i[/tex]

[tex]|z|\:=\sqrt{x^2+y^2}[/tex]

[tex]|z|\:=\sqrt{6^2+\left(-2\right)^2}[/tex]

    [tex]=\sqrt{6^2+2^2}[/tex]

    [tex]=\sqrt{36+4}[/tex]

    [tex]=\sqrt{40}[/tex]

    [tex]=\sqrt{2^2}\sqrt{2\cdot \:5}[/tex]

    [tex]=2\sqrt{2\cdot \:5}[/tex]

   [tex]=2\sqrt{10}[/tex]

Therefore, the modulus of the complex number 6-2i is:

[tex]|z|\:=2\sqrt{10}[/tex]

True or false: a translation produces congruent figures?

A.) true
B.) false

Answers

The correct answer is A so it’s true
The answer is A.) true hope this helps

Solve the system by elimination

Answers

Answer:

x= -2 y= -5

Step-by-step explanation:

Eliminate y by subtract = 3x-6x-2y+2y=6 ; x=-2

plug-in x = -2

-6-2y = 4 y = -5

Answer:

(- 2, - 5)

Step-by-step explanation:

[tex]\left \{ {{3x-2y=4} \atop {6x-2y=-2}} \right.[/tex]

(2) - (1)

(6x - 3x) + [- 2y - (- 2y)]= - 2 - 4

3x = - 6 ⇒ x = - 2

3( - 2) - 2y = 4 ⇔ - 6 - 2y = 4 ⇒ y = - 5

(- 2, - 5)

(50 points) Use the spinner below. Show your work, making sure to simplify your answers. (Note: The smallest section of the circle is 1/16 of the circle.)

16. What is P(red, yellow, blue)?

17. What is P(orange, yellow)?

18. P(green, blue, purple)?

19. P(pink)?

20. P(red, orange, yellow, green, blue, purple)?

Thank you!!

Answers

Answer:

I have the same questions and I got them right

Step-by-step explanation:

16. What is P(red, yellow, blue)?

P(red, yellow, blue)=  6/16= 3/8.

4/16+ 1/16+ 1/16= 6/16= 3/8

17. What is P(orange, yellow)?

P(orange, yellow)= 1/8

1/16+1/16= 2/16= 1/8

18. P(green, blue, purple)?

P(green, blue, purple)= 5/8

7/16+1/16+2/16= 10/16= 5/8.

19. P(pink)?

P(pink)=0

There is no pink color.

20. P(red, orange, yellow, green, blue, purple)?

P(red, orange, yellow, green, blue, purple)= 16/16= 1.

4/16+ 1/16+ 1/16+ 7/16+1/16+2/16 =16/16= 1.

Hope it helps!!!

4x^4+35x^2-9=0 solve by factoring

Answers

O si it told me that the solution was -1/2,x2 and it equals =1/2 hope it helps

please help... please need help!!!

Answers

Answer:

2 gallons maybe?

Step-by-step explanation:

number 9?? please help.

Answers

Answer:

x= 3

Step-by-step explanation:

∠RTS +∠RST= ∠QRT (ext. ∠ of △RST)

(25x)° +(57 +x)°= (45x)°

25x° +x° +57°= 45x°

26x° +57°= 45x°

45x° -26x°= 57°

19x°= 57°

x°= 57° ÷19

x°= 3°

x= 3

Alternatively, find the measure of the angle RST using ∠ sum of triangle then find ∠QRT using adjacent angles on a straight line. Equate this value to 45x and solve for x.

Help ASAP plz
Jacob bought 5 boxes of pencils for his drawing class. Each box contains 12 pencils. Which point on the graph shows the number of pencils he bought?

Answers

Answer:

it would be (5,60)

Step-by-step explanation:

he bought 5 boxes

each box has 12 pencils

5*12=60

A bag contains 6 red apples and 6 yellow apples. A sample of 3 apples is drawn. Find the probability that the sample contains more red than yellow apples

Answers

Answer: 21/44

Step-by-step explanation:

Given that:

Bag contains :

6 red apples

6 yellow apples

Number of samples drawn = 3

Probability that sample contains more red than yellow :

Then from the three samples, red = 2 and yellow = 1 or red for all 3

Prob of RRR = (6/12)(5/11)(4/10)= 120 / 1320

Prob RRY = (6/12)(5/11)(6/10)= 150/1320

Prob RYR is (6/12)(6/11)(5/10)= 180/1320

Prob YRR is (6/12)(6/11)(5/10)=180/1320

120/1320 + 150/1320 + 180/1320 +. 180/1320 = 630/1320 =126/264 = 42/88 = 21/44

five less than three times a number is 1. What is the number?

Answers

Answer: 3 times a number can be written as 3x.

Five less than 3x means you must subtract 5 from 3x.

the word "is" means equals,

so 3x-5=10

Step-by-step explanation:

since it is given that 3 times a number less than five is 1

since it is given that 3 times a number less than five is 1 getting equation:- 3x-5=1

since it is given that 3 times a number less than five is 1 getting equation:- 3x-5=1 x=6/3

since it is given that 3 times a number less than five is 1 getting equation:- 3x-5=1 x=6/3 x=2

Mr. Moretti is making welcome bags to give to the 18 students in his homeroom on the first day of school he puts m mechanical pencils in each bag he puts twice as many regular pencils in each bag

Answers

Answer:

The total number of pencils is 6

Step-by-step explanation:

According to the given scenario, the computation of the total number of pencils is as follows:

There are 18 students

And let us assume there is m mechanical pencils that put in each bag

also he put twice of the regular pencil

So if he put the 3 mechanical pencil

So, the total number of pencils is

= 3 × 2

= 6

As it twice of the regular pencil

hence, the  total number of pencils is 6

Help please I really need it thanks

Answers

Answer:

the last triangle

Step-by-step explanation:

the pythagorean theroem only works for right triangles. a right triangle is a triangle that has a 90 degree angle it the last one is the only one. so its d

pls mark branilest

Marcus buys a pair that cost $35.99 plus 5.5% tax. Tai buys a pair of shoes that cost $ 39.99 plus 9% tax. Tai uses a coupon off her purchase. What is the difference in the total cost to the nearest cent that Marcus and Tai pay for their shoes?

Answers

Answer:

The difference is $5.62

Step-by-step explanation:

The total cost Marcus will pay is

35.99 + 5.5% of 35.99

= 35.99 + 0.055(35.99) = 35.99 + 1.97945 = 37.96945

The total cost Tai will pay is;

39.99 + 9% of 39.99

= 39.99 + 0.09(39.99) = 43.5891

The difference between the total costs will be;

43.5891 - 37.96945 = 5.61965

To the nearest cent, this is 5.62

Mary is writing invitations for her birthday party. She plans to invite 16 friends. So far, Mary has written 12 invitations. Which of the following show the amount of invitations Mary has written? Select two that apply.

25/100
25%
75/100
75%

WILL RECIEVE A LOT IF YOU HELP ME

Answers

Answer:

The answer is 75% and 75/100

James bill at a restaurant
is $39.50. If he wants to
tip his server 18% how
much money should he
leave?

Answers

Answer:

46.61

Step-by-step explanation:

18% of 39.50 = 7.11

39.50 + 7.11 = 46.61

help me please 20 points

Answers

Answer:

- 8n + 9

Step-by-step explanation:

A - B

= - 3n + 2 - (5n - 7) ← distribute by - 1

= - 3n + 2 - 5n + 7 ← collect like terms

= - 8n + 9 → or 9 - 8n

5 more than twice a number n

Answers

Answer:

2n + 5

Step-by-step explanation:

Twice a number (n): 2nFive more than twice a number: 2n + 5

I hope this helps!

Henry took a total of 9 quizzes over the course of 3 weeks. How many weeks of school will Henry have to attend this quarter before he will have taken a total of 15 quizzes? Assume the
relationship is directly proportional

Answers

Answer:

5 weeks if it stays the rate of 3 quizzes a week

brainliest if correct please

Step-by-step explanation:

PLEASE HELP WITH ALEGBRA I WILL GIVE BRAINLIEST
use distributive property to factor the expression
how do i do this if the first is -4 and the second is 4?
−4m − 4y

Answers

Answer:

4(-m - y)

Explanation:

Variables can be negative.

I don’t remember fully but this is a jist of what you’re supposed to do. So first you find the biggest number you can distribute both values in for example if you had 4x+6y you’d want to use 2 as it’s the biggest number that can go into both. Ok so you put the 2 at the beginning of the expression and try to figure out what will multiply by 2 to make 4 and 6. In this case this’ll work 2(2x+3y) if you’ve got any more questions ask and I’ll try to answer tommorow morning

Sally was walking to Ocean Front Housing Complex, In miles, how far is her distance?
mi,
Sally plans to stop half way and pick up something to eat at the deli. What coordinate is the deli?

Answers

Answer:

Sally is 10 miles

The coordinate ofthe deli is (1, -1)

Step-by-step explanation:

✍️Coordinate of Sally = (-3, 2)

Coordinate of Ocean Front = (5, -4)

The distance of Sally to Ocean Front Housing Complex = the distance between point (-3, 2) and (5, -4).

Use the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex], to calculate the distance between (-3, 2) and (5, -4):

[tex] d = \sqrt{(5 -(-3))^2 + (-4 - 2)^2} [/tex]

[tex] d = \sqrt{(8)^2 + (-6)^2} [/tex]

[tex] d = \sqrt{64 + 36} [/tex]

[tex] d = \sqrt{100} = 10 [/tex]

✅The distance of Sally is 10 miles

✍️the coordinate of Deli would be half the distance between Sally and Ocean Front.

Therefore, use the midpoint formula to calculate the coordinate of the midpoint between Sally (-3, 2) and Ocean Front (5, -4).

Midpoint of (-3, 2) and (5, -4).

[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]

Plug in the values

[tex] M(\frac{-3 + 5}{2}, \frac{2 +(-4)}{2}) [/tex]

[tex] M(\frac{2}{2}, \frac{-2}{2}) [/tex]

[tex] M(1, -1) [/tex]

✅The coordinate ofthe deli is (1, -1)

HEEEEEELP MEEEEEEEEEE PLZZZZZZZZZZZZZZZ WITH NUMBER 4

Answers

Answer:

4 2/3 cups of water

Step-by-step explanation:

The original recipe has 3 1/2 cups of potatoes and 3 1/4 cups of water.

4.

If you put 5 cups of potatoes, you can find the amount of water you need using a proportion.

3 1/2 cups of potatoes is to 3 1/4 cups of water as 5 cups of of potatoes is to x cups of water.

(3 1/2) / (3 1/4) = 5/x

(7/2) / (13/4) = 5/x

7/2 * x = 13/4 * 5

2/7 * 7/2 * x = 2/7 * 13/4 * 5

x = 130/28

x = 65/14

x = 4 9/14

4 9/14 as a decimal is 4.64 which is close to 4.6666...

Answer: 4 2/3 cups of water

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