Which set of ratios could be used to determine if one triangle is a dilation of the other?

12 answers
Question:

Which set of ratios could be used to determine if one triangle is a dilation of the other? 3.6 5.4 4.5

Answers

1 : 1.2

the little triangle gets 20% larger for the big triangle

[tex]\frac{4}{6}=\frac{6}{9}=\frac{8.5}{12.5}[/tex]

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

In this problem if the triangles are similar then , must be satisfy

[tex]\frac{4}{6}=\frac{6}{9}=\frac{8.5}{12.5}[/tex]

[tex]0.67=0.67=0.68[/tex] -----> is not true

therefore

The triangles are not similar

[tex]A.\ \frac{4}{6} = \frac{6}{9} = \frac{8.5}{12.5}[/tex]

Step-by-step explanation:

Given

Let the two triangles be A and B

Sides of A: 4, 6 and 8.5

Sides of B: 6, 9 and 12.5

Required

Which set of ratio determines the dilation

To determine the dilation of  a triangle over another;

We simply divide the side of a triangle by a similar side on the other triangle;

From the given parameters,

A ------------------B

4 is similar to 6

6 is similar to 9

8.5 is similar to 12.5

Ratio of dilation is as follows;

[tex]Dilation = \frac{4}{6}[/tex]

[tex]Dilation = \frac{6}{9}[/tex]

[tex]Dilation = \frac{8.5}{12.5}[/tex]

Combining the above ratios;

[tex]Dilation = \frac{4}{6} = \frac{6}{9} = \frac{8.5}{12.5}[/tex]

From the list of given options, the correct option is A,

[tex]\frac{4}{6}[/tex] = [tex]\frac{6}{9}[/tex] = [tex]\frac{8.5}{12.5}[/tex]

Step-by-step explanation:

The set of ratios must have numerators coming from the same triangle and denominators coming from the same triangle. The other set of ratios have some numerators coming from both triangles and/or denominators coming from both triangles.

a

Step-by-step explanation:

Answer A

Step-by-step explanation:

Answer A is correct.  Sides 3.6 and 3 form one ratio and sides 5.4 and 4.5 form another ratio of the lengths of corresponding sides.

Option (1).

Step-by-step explanation:

Dimensions of two triangles have been given as 3.6, 5.4, 6 units and 3, 4.5, 5 units.

If triangle one is dilated to form triangle two, then the ratio of the sides will be

Ratio = [tex]\frac{\text{Side of triangle (1)}}{\text{Corresponding side of triangle (2)}}[/tex]

         = [tex]\frac{3.6}{3}[/tex]

Similarly, ratio of other two sides will be = [tex]\frac{5.4}{4.5}[/tex] and [tex]\frac{6}{5}[/tex]

Since the triangle (1) was dilated to form triangle (2), so both triangles will be similar and the ratios of their corresponding sides will be equal.

Therefore, Ratios of the sides = [tex]\frac{3.6}{3}=\frac{5.4}{4.5}=\frac{6}{5}[/tex]

Option (1) will be the answer.

See explanation

[tex]\frac{3.6}{3} = \frac{5.4}{4.5} = \frac{6}{5}[/tex]

Step-by-step explanation:

The two triangles are similar if the ratio of the corresponding sides are proportional.

The ratio of the corresponding sides are:

[tex]\frac{3.6}{3} = 1.2[/tex]

[tex]\frac{5.4}{4.5} = 1.2[/tex]

[tex]\frac{6}{5} = 1.2[/tex]

The set of ratios which could be used to determine if one triangle is a dilation of the other is

[tex]\frac{3.6}{3} = \frac{5.4}{4.5} = \frac{6}{5}[/tex]

If there are multiple correct options then check this one too.

[tex]\frac{3}{3.6} = \frac{4.5}{5.4} = \frac{5}{6}[/tex]

The ratio of the length of the triangles side can be used to determine if one triangle is a dilation of the other

Step-by-step explanation:

Dilation is the increase of the dimensions of a shape with respect to a scale factor. The scale factor determines how big the dilated shape is. The ratio of the length of the triangles side can be used to determine if one triangle is a dilation of the other

[tex]\frac{3.6}{3}=\frac{5.4}{4.5}=\frac{6}{5}=1.2[/tex]

So, the larger triangle is larger by 1.2 units.

The first answer is the correct one.

It is the only one that keeps all the ratios from the first triangle on the top and the 2nd triangle on the bottom. the other three answers keep swapping top and bottom positions.

47

step-by-step explanation:

2x^2+5x+17

your welcome. : )

Similar Solved Works

10 answers

What would be the answers? It multiple select so select more than one

What would be the answers? It multiple select so select more than one [tex]What would be the answers? It multiple select so select more than one[/tex]...
3 answers

The process by which tsunami waves slow down in shallow water and are then bunched up when the faster

The process by which tsunami waves slow down in shallow water and are then bunched up when the faster larger waves catch up is called... Question 3 options: A Coastal waves B Tides C Nam (meaning wave) D Shoaling / this is sience...
3 answers

Question: read the excerpt from gulliver’s travels, which lists two of the conditions that gulliver

Question: read the excerpt from gulliver’s travels, which lists two of the conditions that gulliver must agree to before the lilliputians grant him freedom. “1st, the man-mountain shall not depart from our dominions, without our license under our great seal. “2d, he shall not presume to come ...
3 answers

During the year, Wright Company sells 475 remote-control airplanes for $120 each. The company has the

During the year, Wright Company sells 475 remote-control airplanes for $120 each. The company has the following inventory purchase transactions for the year. Date: Transaction: # of Units: Unit Cost: Total Cost: Jan.1 Beginning inventory 40 $71 $2,840 May.5 Purchase 255 $74 $18,870 Nov.3 Purchase 20...
3 answers

2. The conversion of stored potential energy into kinetic energy can also be harnessedto power homes, factories and entire cities. Which

2. The conversion of stored potential energy into kinetic energy can also be harnessed to power homes, factories and entire cities. Which example from the text supports this conclusion? A. the softball pitcher B. the slingshotting comet C. the archer D. the Hoover Dam...
3 answers

Which of the following best describes credit sales? -sales to customers on account-cash sales to customers

Which of the following best describes credit sales? -sales to customers on account-cash sales to customers that are new to the company-sales to customers using credit cards-sales to customers on account-sales with a high risk that the customer will return the product...
4 answers

Log 10 ^-2A. 0.01B. 2C. -2

Log 10 ^-2 A. 0.01 B. 2 C. -2 [tex]Log 10 ^-2 A. 0.01 B. 2 C. -2[/tex]...
7 answers

Equation a : e= 4f + 1 equation b : e= 3f + 5 which of the following is a step that can be used to find

equation a : e= 4f + 1 equation b : e= 3f + 5 which of the following is a step that can be used to find the solution to the set of equations. thank you i will give you brainliest if you answer...
4 answers

Sean passed a bowl of peanuts around to 11 friends. Counting Sean,there were twelve people.) Sean took 1 peanut, his 1st friend

Sean passed a bowl of peanuts around to 11 friends. Counting Sean, there were twelve people.) Sean took 1 peanut, his 1st friend took 3 peanuts, the 2nd friend took 5 peanuts, and so on, until the 12th person took peanuts and the bowl was empty How many peanuts were in the bowl in the beginning? I...
8 answers

Will give brainliest to first person to why was the convention called for in philadelphia, in may of

Will give brainliest to first person to why was the convention called for in philadelphia, in may of 1787? a. it was scheduled so a new president of congress could be elected b. it was scheduled so the delegates from the 13 states could discuss commerce between the states and other countries. c. i...
4 answers

URGENT 9a. In the balanced reaction below, when 26.8g of Zn are able to completely react, 62.8 kJ of heat are produced. Determine the enthalpy

URGENT 9a. In the balanced reaction below, when 26.8g of Zn are able to completely react, 62.8 kJ of heat are produced. Determine the enthalpy change per mole of Zn. Zn (s) + 2HCI (aq) arrow ZnCI (aq) + H2 (g) 9b. Which of the reactants will be used up first? 9c. When the limiting reactant is used u...
10 answers

Determine which situation(s) best describes operations with the numbers 4.58 and -0.145. select all

Determine which situation(s) best describes operations with the numbers 4.58 and -0.145. select all situations that apply. 1. the sum of the decimal numbers is negative. 2. the difference between the decimal numbers is positive. 3. the difference between the decimal numbers is negative. 4. the produ...
3 answers

Write the exact value of the side length of a square with an area of 1. 100 square units. 2. 95 square units. 3. 36 square units

Write the exact value of the side length of a square with an area of 1. 100 square units. 2. 95 square units. 3. 36 square units 4. 30 square units If the exact value is not a whole number, estimate the length....
3 answers

If the selling price of a bushel of cranberries rises, we would expect the demand for labor in the cranberry

If the selling price of a bushel of cranberries rises, we would expect the demand for labor in the cranberry industry to...
8 answers

In the first lines from sonnet 130 by william shakespeare, what is the rhyme scheme?

In the first lines from sonnet 130 by william shakespeare, what is the rhyme scheme?...
4 answers

Please help asapp! Thank youuuPoint s is located on -1 on the number line. Point T is located on 6 on the number line. What is

Please help asapp! Thank youuu Point s is located on -1 on the number line. Point T is located on 6 on the number line. What is the distance between point S and point T on the number line?...
10 answers

√5(3√2+5√5)

√ 5 ( 3 √ 2 + 5 √ 5 )...
3 answers

What are 2 things that Benito Mussolini and Hiro Hito have in common? PLEASE ANSWER ASAP

What are 2 things that Benito Mussolini and Hiro Hito have in common? PLEASE ANSWER ASAP...
11 answers

Whould you Barrow moeny or not tell me whywill give brainliest don't put links or will be reported ​

Whould you Barrow moeny or not tell me why will give brainliest don't put links or will be reported ​ [tex]Whould you Barrow moeny or not tell me why will give brainliest don't put links or will be report[/tex]...
3 answers

In a fusion reaction, the nuclei of two atoms join to form a single atom of a different element. In

In a fusion reaction, the nuclei of two atoms join to form a single atom of a different element. In such a reaction, a fraction of the rest energy of the original atoms is converted to kinetic energy of the reaction products. A fusion reaction that occurs in the Sun converts hydrogen to helium. Sinc...

-- 0.057560--