7 Point Question Tyler was trying to prove that all rhombuses are similar. He thought, “If I draw 2 rhombuses, I can find dilations that will take one rhombus exactly onto the other.” Then he wrote a proof. However, all rhombuses are not similar. Which steps in Tyler’s proof have flaws? Explain what is wrong with each step that is wrong. Step 1: Let ABCD and WXYZ be rhombuses. By the definition of a rhombus, AB≅BC≅CD≅DA and WX≅XY≅YZ≅ZW. Step 2: Dilate rhombus ABCD by the scale factor given by $$ WX AB​. Side A'B' will be the same length as WX because of how I chose the scale factor. Because all sides of a rhombus are congruent, B'C' will be the same length as WX and therefore the same length as XY, C'D' will be the same length as YZ, and A'D' will be the same length as WZ. That means all the corresponding sides of A'B'C'D' and WXYZ will be the same length. Step 3: If all the sides in 2 figures are proportional, then those 2 figures are similar, so there must be a sequence of transformations that take ABCD onto WXYZ using dilations and rigid motions. Step 4: Translate A'B'C'D' by the directed line segment A'W so that A″ and W coincide. Step 5: Rotate A″B″C″D″ by angle B″WX so that B‴ and X coincide. Now segments A‴B‴ and WX coincide. Step 6: If needed, reflect A‴B‴C‴D‴ over segment WX so that D⁗ and Z are on the same side of WX. Now segments A⁗D⁗ and WZ coincide. Step 7: Once 3 vertices of the rhombus are lined up, the other vertex has to line up as well or else the shapes wouldn’t be rhombuses. So, we have shown we can use rigid motions and dilations to line up any 2 rhombuses, and therefore, all rhombuses are similar. (Select all that apply.) Step 1 is incorrect. The definition of a rhombus does not say that all the sides are equal. Step 2 is incorrect. The scale factor is not $$ . Step 3 is incorrect. It is only true for triangles that if all the side lengths in a figure are proportional, the figures must be similar. Step 4 is incorrect. Translating by the directed line segment

Answers

Answer 1

A rhombus can have the same shape and dimension as a square or a

parallelogram, therefore, all rhombuses are not similar.

A step in the proof that have flaws is step 3.

Reasons:

By reading through the given steps, we have, the first step that is incorrect

is step 3.

Step 3: The requirement for the similarity of two figures based on the

proportionality of the corresponding sides of the figures is related with

triangles as given by the triangle proportionality theorem.

This is so because, the lengths of the sides of a triangle depends on the

opposite interior angle, while the side of a rhombus can have a

combination of large length and and acute angle.

Two rhombuses that have proportional sides may be dissimilar,

because they can have different interior angles.

Therefore;

The step in Tyler's proof that have a flaw is Step 3

Learn more about similarity between geometric figures here:

https://brainly.com/question/10270676


Related Questions

i will report if you give any links or delete the answer. I need this answer desperately.

Answers

Answer:

If x = -3,

then y might equal -6

If y = -20,

then x might equal -13

Step-by-step explanation:

I have used a graph to estimate these answers. See image. If you are learning how to find the line of best fit for a data set, you might be expected to do those calculations, depending on the level of your math class. Many upper level math classes would use technology to find a line of best fit.

See image to see the data set given on an xy-axis in red. The circled areas are where the estimated numbers would lie, where

x = -3 (in blue) and where

y = -20 (in green)

The directions say estimate, so a graph is a good justification for several answers in the general area.

Alondra says that (12 + 31) × 5 is equivalent to 12 + 31 × 5 because of the associative property. Determine if Alondra is correct. Justify your answer.

Answers

Answer:

No

Step-by-step explanation:

(12 + 31) × 5 = 215

12 + 31 × 5 = 167

order of operations are the rules that state the sequence in which the multiple operations in an expression should be solved.

Order of Operations :

1. Parentheses

2. Exponents

3. Multiplication and Division

4. Addition and Subtraction

The value of y varies directly with the value of x. When y= 24, x = 4.
-
What is the value of x when y = 48?
O 6
0 8
O 28
0 288

Answers

Answer:

8

Step-by-step explanation:

whatever was done to y needs to be done to  x.

in this case (y) was 2x so you need to 2x (x) making 4 into 8

The lines 3y + 1 = 6x + 4 and 2y + 1 = x - 9 are ?

Answers

Answer:

lines are not perpendicular or parallel

Find the term indecent of x in the expansion of (x^2-1/x)^6

Answers

By the binomial theorem,

[tex]\displaystyle \left(x^2-\frac1x\right)^6 = \sum_{k=0}^6 \binom 6k (x^2)^{6-k} \left(-\frac1x\right)^k = \sum_{k=0}^6 \binom 6k (-1)^k x^{12-3k}[/tex]

I assume you meant to say "independent", not "indecent", meaning we're looking for the constant term in the expansion. This happens for k such that

12 - 3k = 0   ===>   3k = 12   ===>   k = 4

which corresponds to the constant coefficient

[tex]\dbinom 64 (-1)^4 = \dfrac{6!}{4!(6-4)!} = \boxed{15}[/tex]

Solve the following equation by factoring: x^2+ x– 42 = 0

Answers

Answer:

x=6,x=-7

Step-by-step explanation:

x^2+x-42=0

x^2-6x+7x-42=0

x(x-6)7(x-6)=0

(x-6)(x+7)=0

Can someone please help me with this easy math problem?

Answers

Answer:

K(w)=P(w)

150 - 15w = 180 - 20w

Collect like terms

-15w + 20w = 180 - 150

5w = 30

w = 30/5

w = 6

Therefore, w = 6 weeks

Lucas and his brother, Max, went to the arcade yesterday. Lucas played 2 games of Rodeo Racing and 8 games of Polar Pinball. Max played 3 games of Rodeo Racing and 9 games of Polar Pinball. Which brother played the greater ratio of Rodeo Racing to Polar Pinball?

Answers

Answer:

Max

Step-by-step explanation:

Lucas played 2 Rodeo Racing:8 Polar pinball = 1:4 (Divide by 2)

Max played 3 Rodeo Racing:9 Polar pinball = 1:3 (Divide by 3)

1:3 is greater than 1:4 so this proves that Max has played the greater ration of Rodeo Racing to Polar Pinball.

Answer:

Max played the greater ratio.

Step-by-step explanation:

:)

i a stoc kcar model is built to scale of 1 cm : 2.5 ft and the model measures 7.7 cm in length, what will be the length of actual stock car?

Answers

Answer:

19.25 ft

Step-by-step explanation:

for every one cm the actual car is 2.5 feet. therfore it would be 7.7 times 2.5 which equals 19.25

determine if the two triangles are congruent.If they are state how u know

Answers

Answer:

17) Congruent because two sides are congruent and so is the 90 degree vertical angle.

18) Congruent because they have a congruent leg and congruent angle, and they share a side which is congruent to itself. (SAS)

19) Congruent because all three sides are congruent (SSS)

20) congruent, all three sides are the same (SSS)

3. Suppose Natalie put $2,400 in the bank for 5 years. She makes $9.20 in interest
every month. What is the annual interest rate?

Answers

Annual interest rate is 4.6%

hope this helps!

I will mark Brainliest if you help!!

Remainder of 52,259 divided by 215

Answers

Answer: 243, Reminder is 14

Step-by-step explanation:

52,259 / 215 = 243.065116

215 x 243 = 52,245

52,259 - 52,245 = 14

So the reminder is 14

Write an equation for a line that passes through (2,5)
and (6, 7).

Answers

Answer:

y=2x-9

Step-by-step explanation:

. What is 6 8ths x 5? Draw a model of your choice to help you solve.

WILL GIVE BRAINIST

Answers

Answer:

The complete and simplified answer to the question what is 6/8 of 5 is:  

3 3/4

Step-by-step explanation:

You probably know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well.

Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator: 5/1

So now that we've converted 5 into a fraction, to work out the answer, we put the fraction 6/8 side by side with our new fraction, 5/1 so that we can multiply those two fractions.

That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:

 

6 x 5/ 8 x 1  =  30 /8

In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.

You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 30 and 8 is 2.

We can now divide both the new numerator and the denominator by 2 to simplify this fraction down to its lowest terms.

30/2 = 15

8/2 = 4

When we put that together, we can see that our complete answer is:  

15/ 4

 

If you now simplifiy the COMPLETE anwser is:

3 3/4

how do i do this?? i really need help !!

Answers

Answer:

  angles: 150°, 108°, 90°, 12°

Step-by-step explanation:

The size of each sector of a pie chart is proportional to the size of the data item being represented. Here, the total of all frequency numbers is ...

  25 +18 +15 +2 = 60

These 60 are represented in the chart by 360°, so each unit of frequency is represented by 360°/60 = 6°.

The 25 destinations in France are represented by a sector that is ...

  25 × 6° = 150°

The 18 destinations in Spain are represented by a sector that is ...

  18 × 6° = 108°

The 15 destinations in Greece are represented by a sector that is ...

  15 × 6° = 90°

The remaining (Other) destinations are represented by the remaining part of the circle:

  2 × 6° = 12°

You can draw the sector dividers in the circle using a protractor or geometry application, or you can let a spreadsheet draw the entire pie chart for you.

__

The attachment is roughly what the finished product would look like. We have included the angle measures, so you can see what they are. Ordinarily, those would not be present. The labels might include data values or percentages, as you may decide. The purpose is to communicate, so you need to figure what message you want the chart to communicate, and label it appropriately.

Answer:

angles: 150°, 108°, 90°, 12°

Step-by-step explanation:

The size of each sector of a pie chart is proportional to the size of the data item being represented. Here, the total of all frequency numbers is ...

25 +18 +15+2 = 60

These 60 are represented in the chart by 360°, so each unit of frequency is represented by 360` = 6°.

The 25 destinations in France are represented by a sector that is ...

25 x 6° = 150°

The 18 destinations in Spain are represented by a sector that is ...

18 x 6° = 108°

The 15 destinations in Greece are represented by a sector that is ...

15 x 6° = 90°

The remaining (Other) destinations are represented by the remaining part of the circle:

2 x 6° = 12°

You can draw the sector dividers in the circle using a protractor or geometry application, or you can let a spreadsheet draw the entire pie chart for you.

The attachment is roughly what the finished product would look like. We have included the angle measures, so you can see what they are. Ordinarily, those would not be present. The labels might include data values or percentages, as you may decide. The purpose is to communicate, so you need to figure what message you want the chart to communicate, and label it appropriately.

Dwayne plans to add a railing parallel to a flight of stairs that goes down to the basement in his house. The stairs have the dimensions shown in the sketch. Landing 7.5 in 9.5 in 7.5 95 9.5 What will be the length of the railing from Point A to Point B? Show or explain how you got your answer.

Answers

Answer:

121 inches

Step-by-step explanation:

See the attached diagram.  We can form a right triangle as shown.  The base and sides of the right triangle can be computed by adding the 10 steps of horizonal distance 9.5" (95" for the base) and the 10 vertical distances of 7.5" (75" total) for the height.  Use the Pythagorean Theorem to calculate the hypotenuse, which will be the same as the railing length.

helpp my grades are almost dueeeeeeee,,, but anyway hows yall dayyy?

Answers

C is the. Answer as you multiply by -1/3

Answer: c) -1/6, check picture below

Step-by-step explanation:

A hen costs $4 and chicks are sold at 3 for $2. A farmer paid $100 exactly for 80 of these birds. How many of each type did he buy?​

Answers

Answer:

Above is the answer, coupled with a detailed step-by-step explanation. Thank you!

which ratio is equivalent to 4:10? Choose ALL the equivalent ratios

Answers

Answer:

2:5  

12:30

Step-by-step explanation:

Someone pls help me with these 4 questions pls asap for BRAINLIEST and 100 points

Answers

Answer:

5. (-1,-1)

6. (6,-9)

8. (1,2)

9. (-1,0)

Step-by-step explanation:

5. first you add -6 and 6 to cancel out the x and solve for y..once you have your y plug it back into the equation to find x

6. your going to subtract 7 and 8, and then 2 and 2 (this will cancel your ys). solve for x and then plug back in to solve for y.

7. plug -3x+5 into the second equation to find x then plug your x into the first equation to find y

8. same as above but with x then find y

lemma wants to build a road named stargazer boulevard that will be parallel to moonbeam drive, on this road she will build a diner located 7 blocks north of the community garden where is the diner located

Answers

Answer:

(20,

Step-by-step explanation:

**PLEASE HELP ASAP**

Ben is concerned that he is not reading enough. He decides to record how many pages he reads each day for the month of April, and he makes a box plot of the data. Then he repeats the process for the month of June. His 2 plots are shown below.

Answers

In June he read 0 to 45 pages per day
In April he reads 10 to 90 pages per day

Solve the equations below. Give exact solutions only. Show your work.

a) 5x^2 - 7 = 72
b) x(x + 2) = 5
c) 3x^2 + 2x - 4 = 0

Please help!

Answers

Step-by-step explanation:

remember, the general formula to solve a quadratic equation ax² + bx + c = 0 is

x = (-b ± sqrt(b² - 4ac))/(2a)

a)

I think there is a typo, and this should be

5x² - 7x = 72

5x² -7x - 72 = 0

x = (7 ± sqrt(49 - -1440))/10 = (7 ± sqrt(1489))/10

x1 = (7 + sqrt(1489))/10

x2 = (7 - sqrt(1489))/10

b)

x(x + 2) = 5

x² + 2x - 5 = 0

x = (-2 ± sqrt(4 - -20))/2 = (-2 ± sqrt(24))/2 =

= (-2 ± sqrt(4×6))/2 = (-2 ± 2×sqrt(6))/2 =

= -1 ± sqrt(6)

x1 = -1 + sqrt(6)

x2 = -1 - sqrt(6)

c)

3x² + 2x - 4 = 0

x = (-2 ± sqrt(4 - -48))/6 = (-2 ± sqrt(52))/6 =

= (-2 ± sqrt(4×13))/6 = (-2 ± 2×sqrt(13))/6 =

= (-1 ± sqrt(13))/3

x1 = (-1 + sqrt(13))/3

x2 = (-1 - sqrt(13))/3

can someone help? No explanation needed :')

Answers

36/100

Please mark me as brainliest

Nina can stitch 2/3 of a dress in 4 hours. If d represents the number of dresses and h represents the number of hours, which equation represents this proportional relationship? A: d=6h B: 3D=4h C: d=1/6h D: d=4h E: 1/6d=12h No links, only answer if you know pls, will give brainliest and like if right.

Answers

Answer:

The answer is A.

Explanation:

A is true because 2/3 of a dress takes a full four hours. That means 1/3 is finished every 2 hours. So if you add both 4 and 2 together you get 6 hours :)

Hope this helped

To make a sports drink, Tommy puts 2 liters of water in a pitcher along with 4 ounces of sports drink additive. How much liquid is now in the pitcher, in ounces?


1 liters = 33.81 ounces

Answers

Answer:

71.62

Step-by-step explanation:

2 liters = 2(33.81) ounces or 67.62 oz

4 more ounces were added

new total is 71.62 oz

The Great Lakes have a water area of about 2.44 X 105 square
kilometers. One of them, Lake Huron, has a water area of about
6.0 x 104 square kilometers. What approximate fraction of the total
water area of the Great Lakes does Lake Huron represent?

Answers

Answer:

  15/61 ≈ 1/4

Step-by-step explanation:

The fraction is the area of Lake Huron divided by the total area.

  (6.0·10^4)/(24.4·10^4) = 6/24.4 = 15/61

This is approximately 15/60 = 1/4.

The area of Lake Huron is 15/61 of the total area of the Great Lakes, about 1/4 of the total.

Blair worked for 4 2/5 hours and earned $36.30. How much would she earn if she worked for 5 4/5 hours? Enter your answer in the box.

PLEASE HELP ASAPPPPP!!! I WILL GIVE BRAINLIEST AND 50 POINTS!!!

Answers

Answer:

$47.85

Step-by-step explanation:

4 2/5 in decimal form is 4.4

Using the equation hrs/money=x, 36.30/4.4=8.25

So, she gets $8.25 per hour

Then, 5 4/5 in decimal form is 5.8

So, 5.8*8.25=47.85

She gets $47.85 for working 5 4/5 hours

Answer:$47.85

Step-by-step explanation:

The number of hours needed to assemble computers varies directly as the number of computers and
inversely as the number of workers. If 16 workers can assemble 40 computers in 10.25 hours, how many
workers are needed to assemble 68 computers in 16.40 hours?

Answers

The number of workers needed to assemble 68 computers in 16.40 hours is 17 workers

let

number of hours = h

number of computers = c

number of workers = w

h = k × c / w

where,

k = constant of proportionality

h = 10.25

w = 16

c = 40

h = k × c / w

10.25 = k × 40 / 16

cross product

10.25 × 16 = k × 40

164 = 40k

k = 164/40

k = 4.1

If

c = 68

h = 16.40

h = k × c / w

16.40 = 4.1 × 68 / w

cross product

16.40w = 4.1 × 68

16.40w = 278.8

w = 278.8 / 16.40

w = 17 workers

Therefore, the number of workers needed to assemble 68 computers in 16.40 hours is 17 workers

Learn more about ratio:

https://brainly.com/question/16981404

How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!

Answers

Answer:

Hes right 304.8 millimeters in a foot.

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