Mathematics: Here are two triangles. What is the scale factor from triangle ABC to triangle A’B’C’?

Here are two triangles. What is the scale factor, №8931095, 02.08.2020 15:53

Mathematics

Triangle ABC is transformed to obtain triangle A B C : A Coordinate grid (plane, graph, whichever one you like to use) with two triangles on it. Triangle ABC and Triangle A B C . Chart below tells you where the points are placed: ABC / A= (-12, 12) / B= (-9, 6) / C= (-3, 12) A B C / A = (4, -4) / B = (3, -2) / C = (1, -4) Which statement is correct for ▲ABC and ▲A B C ? 1. ▲ABC ~ ▲A B C because ▲A B C is obtained by dilating ▲ABC by a scale factor of 1/3 and then rotating it about the origin by 180 degrees. 2. ▲ABC ~ ▲A B C , because ▲A B C is

Step-by-step answer

P Answered by PhD

11

1. ▲ABC ~ ▲A'B'C' because ▲A'B'C' is obtained by dilating ▲ABC by a scale factor of 1/3 and then rotating it about the origin by 180 degrees.

Step-by-step explanation:

given;

ABC / A= (-12, 12) / B= (-9, 6) / C= (-3, 12)

A'B'C' / A'= (4, -4) / B'= (3, -2) / C'= (1, -4)

consider line AC = 9

A'C' = 3

ratio is 9/3, so the factor is 1/3

Mathematics

Triangle ABC is transformed to obtain triangle A B C : A Coordinate grid (plane, graph, whichever one you like to use) with two triangles on it. Triangle ABC and Triangle A B C . Chart below tells you where the points are placed: ABC / A= (-12, 12) / B= (-9, 6) / C= (-3, 12) A B C / A = (4, -4) / B = (3, -2) / C = (1, -4) Which statement is correct for ▲ABC and ▲A B C ? 1. ▲ABC ~ ▲A B C because ▲A B C is obtained by dilating ▲ABC by a scale factor of 1/3 and then rotating it about the origin by 180 degrees. 2. ▲ABC ~ ▲A B C , because ▲A B C is

Step-by-step answer

P Answered by PhD

11

1. ▲ABC ~ ▲A'B'C' because ▲A'B'C' is obtained by dilating ▲ABC by a scale factor of 1/3 and then rotating it about the origin by 180 degrees.

Step-by-step explanation:

given;

ABC / A= (-12, 12) / B= (-9, 6) / C= (-3, 12)

A'B'C' / A'= (4, -4) / B'= (3, -2) / C'= (1, -4)

consider line AC = 9

A'C' = 3

ratio is 9/3, so the factor is 1/3

Mathematics

For the dilation with center (0,0) shown on the graph, your friend says the scale factor is 5/2 . What is the correct scale factor? What mistake did your friend likely make? Correct answer i know is 2/5, what did the friend do though? here are the choices A. Your friend found the ratio between non-corresponding sides. B. Your friend found the ratio between two sides of the image triangle. C. Your friend found the scale factor that enlarges to triangle abc to triangle a b c D. Your friend found the ratio between two sides of the original triangle.

Step-by-step answer

P Answered by Master

2

i think its b

Step-by-step explanation: if its wrong im sorry its been a while sense i did this

Mathematics

Step-by-step answer

P Answered by Master

7

B) dilation by scale factor of two followed by reflection across the x-axis

Step-by-step explanation:

Let's compare the points of the pre-image, ABC, to the image, A'B'C', we see that both x- and y-coordinates seem to be doubled from the pre-image to the image.

The coordinate of A, is (-2, -1)

B = (0, 0)

C = (1, -3)

Let's see the coordinates of the image A'B'C'.

A' = (-4, 2)

B' = (0, 0)

C' = (2, 6)

Here both the x- and y-coordinates, dilated by scale factor 2. The sign of the y - coordinate changes in the image.

Therefore, the answer is B) dilation by scale factor of two followed by reflection across the x-axis.

Thank you.

Mathematics

For the dilation with center (0,0) shown on the graph, your friend says the scale factor is 5/2 . What is the correct scale factor? What mistake did your friend likely make? Correct answer i know is 2/5, what did the friend do though? here are the choices A. Your friend found the ratio between non-corresponding sides. B. Your friend found the ratio between two sides of the image triangle. C. Your friend found the scale factor that enlarges to triangle abc to triangle a b c D. Your friend found the ratio between two sides of the original triangle.

Step-by-step answer

P Answered by Specialist

2

i think its b

Step-by-step explanation: if its wrong im sorry its been a while sense i did this

Mathematics

Step-by-step answer

P Answered by Specialist

7

B) dilation by scale factor of two followed by reflection across the x-axis

Step-by-step explanation:

Let's compare the points of the pre-image, ABC, to the image, A'B'C', we see that both x- and y-coordinates seem to be doubled from the pre-image to the image.

The coordinate of A, is (-2, -1)

B = (0, 0)

C = (1, -3)

Let's see the coordinates of the image A'B'C'.

A' = (-4, 2)

B' = (0, 0)

C' = (2, 6)

Here both the x- and y-coordinates, dilated by scale factor 2. The sign of the y - coordinate changes in the image.

Therefore, the answer is B) dilation by scale factor of two followed by reflection across the x-axis.

Thank you.

Mathematics

(note: the questions listed have pictures that belong to a certain question. question 1 s picture is the first picture, 3 s is the third pic, and so on. question 2 has no picture, however.) 1.) describe the transformations that will map triangle a to triangle b and illustrate the similarity between the two triangles. a)rotate 90° clockwise and then translate 6 units down b)translate 4 units down and rotate 180° about the origin c)reflect the triangle across the y-axis and translate 4 units down d)reflect triangle a across the x-axis and then translate

Step-by-step answer

P Answered by PhD

9

1. C . . . . the change in orientation means it's not a rotation. Reflection across the x-axis would put the long side at the bottom.

2. D . . . . volumes are related by the cube of the scale factor of linear dimensions

3. B . . . . that reflection changes the sign of the y-coordinate

4. C . . . . for 90° CCW, (x, y) ⇒ (-y, x), so (1, -2) ⇒ (2, 1)

Mathematics

(note: the questions listed have pictures that belong to a certain question. question 1 s picture is the first picture, 3 s is the third pic, and so on. question 2 has no picture, however.) 1.) describe the transformations that will map triangle a to triangle b and illustrate the similarity between the two triangles. a)rotate 90° clockwise and then translate 6 units down b)translate 4 units down and rotate 180° about the origin c)reflect the triangle across the y-axis and translate 4 units down d)reflect triangle a across the x-axis and then translate

Step-by-step answer

P Answered by PhD

9

1. C . . . . the change in orientation means it's not a rotation. Reflection across the x-axis would put the long side at the bottom.

2. D . . . . volumes are related by the cube of the scale factor of linear dimensions

3. B . . . . that reflection changes the sign of the y-coordinate

4. C . . . . for 90° CCW, (x, y) ⇒ (-y, x), so (1, -2) ⇒ (2, 1)

Mathematics

You can buy jars of the same jam in 2 sizes large jar:440g for £1.54 small jar:340g for £1.26 By considering the price per gram, work out which jar is the best value for money. Working must be shown

Step-by-step answer

P Answered by PhD

Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram

Mathematics

The last time Robert filled up his car with gas, he paid $24.50 for 7 gallons. This time, he needs 15 gallons. If the price is the same, how much will he pay?

Step-by-step answer

P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Here are two triangles.
What is the scale factor from triangle ABC to triangle A’B’C’?

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