Which one of Aiko's steps makes a false assumption? Why is it false?
Aiko's Proof:
1. Draw 2 rectangles. Label one ABCD and the other PQRS
2. Translate rectangle ABCD by the directed line segment from A to P.A' and P now coincide. The points coincide because that's how we defined
our translation
3. Rotate rectangle A'B'C'D' by angle D'A'S. Segment A"D" now lies on ray PS. The rays coincide because that's how we defined our rotation.
4. Dilate rectangle A"B"C"D" using center A" and scale factor AD. Segments A"D" and PS now coincide. The segments coincide because A" was
the center of the rotation, so A" and P don't move, and since D" and S are on the same ray from A", when we dilate D" by the right scale factor, it
will stay on ray PS but be the same distance from A" as S is, so S and D' will coincide.
5. Because all angles of a rectangle are right angles, segment A'B' now lies on ray PQ. This is because the rays are on the same side of PS and
make the same angle with it (If A'B' and PQ don't coincide, reflect across PS so that the rays are on the same side of PS.)
6. Dilate rectangle A"B"C"D" using center A" and scale factor AB Segments A'"'**" and PQ not coincide by the same reasoning as in step 4.
7. Due to the symmetry of a rectangle, if 2 rectangles coincide on 2 sides, they must coincide on all sides.

Answers

Answer 1

Answer:

6th step is wrong

Step-by-step explanation:

We have the dilation transformations we only needed one, and that is the 6th step. It would make more sense to do the dilation transformation early in the steps and we already did these steps at the beginning.


Related Questions

Hanna has 88cm of ribbon and cuts it in the ratio 5 : 6. How much longer is the longest piece and the shortest piece?​

Answers

Answer:

8 cm

Step-by-step explanation:

sum the parts of the ratio, 5 + 6 = 11 parts

Divide the length of ribbon by 11 to find the value of one part of the ratio

88 cm ÷ 11 = 8 cm ← value of 1 part of the ratio , then

5 parts = 5 × 8 cm = 40 cm

6 parts = 6 × 8 cm = 48 cm

Then difference between lengths is 48 cm - 40 cm = 8 cm

longer piece is 8 cm longer than shortest piece.

Which of the following lists of ordered pairs is a function?

Answers

Answer:

Option D.

Step-by-step explanation:

A  function is a relation in which one input (x-value) is assigned to exactly one output (y-value).

Since option D's x-values do not repeat, then it is a function.

Hope this helps.

HELP ASAP THIS IS TIMED ​

Answers

C 3/4÷12

You Welcome :)

Answer: C

Solve the quadratic equation 2x2 – x = 15 using the quadratic formula.

Question 6 options:


A)


x = –3, x = –5∕2


B)


x = –3, x = 5∕2


C)


x = 5∕2, x = 3


D)


x = – 5∕2, x = 3


which one is right. keep it simple

Answers

Answer:

B) x = 3 or x = -5/2

Step-by-step explanation:

Solve for x over the real numbers:

2 x^2 - x = 15

Subtract 15 from both sides:

2 x^2 - x - 15 = 0

x = (1 ± sqrt((-1)^2 - 4×2 (-15)))/(2×2) = (1 ± sqrt(1 + 120))/4 = (1 ± sqrt(121))/4:

x = (1 + sqrt(121))/4 or x = (1 - sqrt(121))/4

sqrt(121) = sqrt(11^2) = 11:

x = (1 + 11)/4 or x = (1 - 11)/4

(1 + 11)/4 = 12/4 = 3:

x = 3 or x = (1 - 11)/4

(1 - 11)/4 = -10/4 = -5/2:

Answer:  x = 3 or x = -5/2

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

last option

Step-by-step explanation:

b) 1/6 = 16.7 to 1dp

c) 45% = 45/100 = 9/20

d) 7/9 = 77.8% to 1dp

EJ practice football for a minimum of 6 hours a
week. He practices for 1.5 hours each session. If
EJ has already practiced 3 hours this week, how
many more sessions must he practice to meet or
exceed his goal?

Answers

Answer:

He must practice at least 2 more times

Step-by-step explanation:

PLLSSS HELP MEEEE!!

Is it possible for Bruce and Felicia to have used the same number of tiles? Use complete sentences to explain your reasoning.

Number of tiles Bruce used: 5x + 2
Number of tiles Felicia used: 5x + 5

Answers

Answer:

No it is not possible for Bruce and Felicia to have used the same number of tiles.

Step-by-step explanation:

Bruce would have used 10x of tiles and Felicia used 7x of tiles.

No, it is not possible that Bruce and Felicia to have used the same number of tiles

The expression which shows the difference is (n² - 2)/2n, the correct option is B.

What is an Expression?

An expression is a mathematical statement which consists of variables, constants and mathematical operators.

Number of tiles Bruce used: 5x + 2

Number of tiles Felicia used: 5x + 5

On equating the two expressions

5x+2 = 5x+5

There is no solution

At any value of x, Bruce would have always used 3 tiles less than Felicia.

To know more about Expression

https://brainly.com/question/14083225

#SPJ2

Which is the value of x?
10
7

Answers

Answer: 12.2

Step-by-step explanation:  Pythagorean Theorem

What is the solution for -10 < x - 9?

x > -19
x < -1
x < -19
x > -1

Answers

Answer:

x > -1

Step-by-step explanation:

-10 < x - 9 add 9 to both sides of the inequation

9 + (-10) < x - 9 + 9 minus 9 will eliminate the positive 9 on the right side of the inequation therefore the answer is:

-1 < x  and x > -1

PLZ HELLLP 50 POINTS, WILL GIVE BRAINLY PLZZZZZZZZZZ

Modified organisms may contaminate the natural, wild populations.

Which genetic technique is the statement describing an ethical issue of?


stem cell research

gene therapy

transgenic organisms

cloning

Answers

Answer:

Transgenic Organism

My reasoning:

A transgenic organism is an organism which has been modified with genetic material from another species. The biggest use of transgenic organisms is for agriculture growth, the development of genetically modified crops.

They also research with transgenic mice. Mice can be modified with human DNA for the purpose of testing medical treatments and seeing how they might behave in a human.

Researchers are concerned though that interbreeding between transgenic and wild organisms could have unforeseen consequences and could reign havoc on our ecosystem.

~That's All Folks~

-Siascon

transgenic organisms is the answer

What is another word for change in y

Answers

When finding the slope of real-world situations, it is often referred to as rate of change. change in y Rate of change = change in x change in height change in time The average rate of change or a rider between 0 and 5 seconds is —24 ft/s. magnitude relation. Another synonym is "velocity".

Hope this helps


I NEED HELP ASAP. PLEASE AND THANK YOU


Answers

Answer:

1, 2, and 5

Step-by-step explanation:

What is 7/6 as a decimal

I need it I the next 5 mins please!

I’ll give brainliest

Answers

Hey there!

7/6

= 7 ÷ 6

= 1.166667

Therefore, your answer is: 1.166667 which is approximately 1.67 or 1.7

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

what is the speed of a skater who travels a distance of 210 m in a time of 10 secands

Answers

21 is the speed of the skater.

whats the remainder of 45 divied by 8

Answers

Answer:

5

Step-by-step explanation:

8*5=40

45-40=5

r would be 5

5 R 5

hope this helps

after the outbreak of a mysterious disease, the average wait time at a hospital by 70%. Before the outbreak, the average wait time at a hospital is m minutes

Answers

Answer:

1.7m

Step-by-step explanation:

Given that 'm' was the waiting time before the outbreak

After the outbreak, waiting time increased by 70%.

This implies that :

70% of m increase

m + 70% of m

m + 70/100 of m

m + ( 70÷100 ) × m

m + 0.7m

= 1.7m

Step-by-step explanation:

A= (4,-1)
B= (0,-5)
which one is right ,two answer choices.

Answers

Answer:

A

Step-by-step explanation:

Plz help! I have two parts to this :(

Answers

If I am correct, it is 36 because its b x h x l x 1/2

Given: AB IS CONGRUENT TO CD
PROVE: CD CONGRUENT TO AB

Answers

Answer:

Because of the definition of congruent

Step-by-step explanation:

This problem may sound tricky, but it's not actually that hard. We now congruent means two things are the same, so for this problem, think of it as an equal sign. (Congruent doesn't mean equal, as an equal sign denotes the relationship that two things are the same if we know the concrete value of it.) So if AB=CD, CD=AB as you can swap two sides of an equation around and get the same answer. It's like saying 2=x ∴ x=2 (The dots mean therefore in math.)

Please consider a brainliest! Thank you!

If each quadrilateral below is a square, find the missing measures

solve for X​

Answers

Answer:

i think x = 18.5

Step-by-step explanation:

6x-21 = 90°

6x = 90+21

6x = 111

x = 111/6

x = 18.5

Which expression is equivalent to 24 1/3?

Answers

Answer:

2∛3

Explanation:

∛24=(∛8)(∛3)=2∛3

Hopes This Helps :)

What is the area of this figure?

please help me ASAP!

Answers

Area = 35



Area = area of square + area of triangle

Area of square = length x width
Area of square = 5 x 5
Area of square = 25

Area of triangle = base x height x 0.5
Area of triangle = 5 x 4 x 0.5
Area of triangle = 10

Area of figure = triangle area + square area

Area of figure = 10 + 25

Area = 35

Answer:

35cm squared

Step-by-step explanation:

5*5=25 for the square

10cm for the triangle (multiply base by height)

add it for 35

A car travels 220 miles in 3 hours 20 minutes. What is its average speed?

Answers

I believe the answer is 68.75…

Answer:

66 miles per hour

Step-by-step explanation:

average speed = distance / time

distance : 220 miles

time : 3 hours 20 minutes or 3.33 hours

220 miles / 3.33 hours = 66 miles per hour

1. The last time Lola played
basketball, she made 84% of the free
throws she shot. Based on this
information, how many free throws
will Lola make if she shoots 50 free
throws this season?

A: 42
B: 34
C: 26
D: 17

Answers

Answer:

A) 42 is the correct answer, I just did .84 times 50 and that equals 42.

Step-by-step explanation:

Helpppppppppppppppppppppppppp

Answers

Answer:

The first one.

Write a fraction pair of fractions with a common denominator: 1/3 and 3/4

Answers

4/12 plus 9/12 =15/12=1 3/12 = 1 1/4

23.2 x 0.14 can somebody help quick

Answers

Answer:

2.78

Step-by-step explanation:

you could have used a calculator

Answer:

23.2 times 0.14 is 3.248

how to find the length of a triangle with angles

Answers

Answer:

1. The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , is used to find the length of any side of a right triangle.

2. In a right triangle, one of the angles has a value of 90 degrees.

3. The longest side of a right triangle is called the hypotenuse, and it is the side that is opposite the 90 degree angle.

Step-by-step explanation:

formula of amount when interest and principal is given

Answers

Answer:

We can rearrange the interest formula, I = PRT to calculate the principal amount. The new, rearranged formula would be P = I / (RT), which is principal amount equals interest divided by interest rate times the amount of time.

Step-by-step explanation:

Hope this helps you sorry if it does not help you

NEED HELP ASAP…..plz help

Answers

I’m pretty sure the answer is D. I’m sorry if I’m wrong

The answer is B) y = 4x

Explanation: If you substitute each number in the x column for the variable x, and then multiple that number by 4, you'll get the number in the y column to the right.

For example:

y = 4x --> y = 4 (2) --> y = 8

I hope this helped. :)

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