Choose the correct rule to describe the transition of ▵ to ▵’’’

Choose The Correct Rule To Describe The Transition Of To

Answers

Answer 1

Answer:

The rule that describes the translation of ΔABC to ΔA'B'C' is

(x, y) → (x + 4, y + 3) ⇒ b

Step-by-step explanation:

Let us revise the rule of translation of a point

The image of the point (x, y) after translation h units to the right and k units up is (x + h, y + k)The image of the point (x, y) after translation h units to the right and k units down is (x + h, y - k) The image of the point (x, y) after translation h units to the left and k units up is (x - h, y + k)The image of the point (x, y) after translation h units to the left and k units down is (x - h, y - k)

Let us solve the question

∵ Point A = (-3, 0)

∵ Point A' = (1, 3)

→ Subtract the x-coordinate of A from the x-coordinate of A' to find h

h = 1 - - 3 = 1 + 3 = 4

→ h is a positive value, then the translation is to the right

Point A translated 4 units to the right

→ Subtract the y-coordinate of A from the y-coordinate of A' to find k

k = 3 - 0 = 3

→ K is a positive value, then the translation is up

Point A translated 3 units up

The rule of translation is (x, y) → (x + 4, y + 3)

Let us find B' and C' using the rule of translation

∵ B = (-3, -2)

∵ The rule of translation is (x, y) → (x + 4, y + 3)

∴ B' = (-3 + 4, -2 + 3)

B' = (1, 1) ⇒ same as the figure

∵ C = (-1, -2)

∵ The rule of translation is (x, y) → (x + 4, y + 3)

∴ B' = (-1 + 4, -2 + 3)

B' = (3, 1) ⇒ same as the figure

The rule that describes the translation of ΔABC to ΔA'B'C' is

(x, y) → (x + 4, y + 3)


Related Questions

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Enter your answer as a number rounded to two decimal places, like this: 0.42

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Step-by-step explanation:

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Answer: x=5

Step-by-step explanation:

hope this answer helps

X=5
These are the solving steps

PQ and RS are two lines that intersect at point T, as shown below:

Two lines PQ and RS intersect at point T. Angles PTR and STQ are shown congruent.

Which statement is used to prove that angle PTR is always equal to angle STQ?

choices:

a. Lines PQ and RS do not have a fixed length.

b. Angle PTR and angle PTS are supplementary angles.

c.Lines PQ and RS intersect at an angle less than a right angle.

d.Angle PTR and angle PTS are complementary angles.

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Answer:

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Step-by-step explanation:

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Graph.
y= 53x–4

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Answer:

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Step-by-step explanation:

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the estimated tip would be $1.97

Answer:

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Step-by-step explanation:

Round the Price up to $40, then multiply 40 x 0.05 to get 5% of $40. Answer $2

Factor by grouping
x^3+2x^2-9x-18

Answers

Answer:

(x+2)(x+3)(x-3)

Step-by-step explanation:

Group and factor out the greatest common factor (GCF), then combine.

Hope this helps!!

Malcom and Theo’s families are both traveling to the same vacation resort.
The equation d=65t models the distance, d, that Malcoms family travels after t hours.
The graph shows the relationship between the distance and the amount of time that Theo’s family traveled

Answers

Answer: 15 miles per hour

Step-by-step explanation: because 20 + 15 is 50 and if u keep adding 15 to the distance you will get the same answer

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Answer:

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Step-by-step explanation:

fffff

how do I solve "at 1:00., you have 24 megabytes of a movie. at 1:15., you have 96 megabytes. what is the download rate in megabytes per minute?"​

Answers

Answer:

4 megabytes per minute

Step-by-step explanation:

Answer:

You're downloading 4.8 megabytes/minute.

Step-by-step explanation:

[tex]\frac{96-24}{15-0}=\frac{72}{15} =4.8[/tex]

A bag contains red marbles and black marbles. For every 1 black marble,
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many RED marbles are there?

Answers

there are 101 red marbles.

Helppp pls ASAP plsss help

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Answer:

17

Step-by-step explanation:

8.5 divided by 0.5 = 17

Don't worry about it being negative

Think about the negative positive triangle, it looks like that

-  -

+

Starting at 1:00 pm, the temperature changes -4 degrees Fahrenheit per hour. Write and solve an equation to find how many hours x it will take to reach -1 F.
PLEASE HELP ASAP!!!

Answers

Answer:

im guessing it will take 3 hours to get to -1 F

Step-by-step explanation:

Use a proportion to find the missing side length in the following similar figures. Please help me understand and figure out how to solve this question. Thank You! :)

Answers

Answer:

x = 4.5 m ⇒ A

Step-by-step explanation:

The sides of similar triangles are proportion, that means the ratio between the corresponding sides are equal

In the given figure

∵ The two triangles are similar

2 m and x are corresponding sides

4 m and 9 m are corresponding sides

∴ [tex]\frac{2}{x}[/tex] = [tex]\frac{4}{9}[/tex]

→ By using cross multiplication

x × 4 = 2 × 9

∴ 4x = 18

→ Divide both sides by 4 to find x

∵ [tex]\frac{4x}{4}[/tex] = [tex]\frac{18}{4}[/tex]

x = 4.5 m

Answer:

4.5m they are correct

Step-by-step explanation:

i am from connexus 8th grd pre algrabra

unit 5 lesson 3

1. 1:2

2. C. yes they are similar they have porportional side lengths and = ange measures

3. x = 4.5m

4. x = 30.8cm

5. x = 6 m

4.) Which expression does not represent the area?

a) 7(m + 4)
c) 28 + 7m
b) 7m + 28
d) 4(7 + m)

Answers

Answer:

C is Ur and of the area that doesn't represent 28+7

Jordan signed up for the Annual Cross Florida bike ride which is a 170 mile bike ride. After weeks of training he rides at an average of 15 miles per hour. What is x in real world context?

Answers

Answer: 11.3 hours

Step-by-step explanation:

Before this question is another asking for an equation depicting this with Jordan's progress in miles (y) after a number of hours (x).

That would be y = 15x

x in the real world context would be the number of hours it would take for Jordan to finish the 170 mile bike race.

To solve this make y to be 170 and solve for x.

170 = 15x

x = 170/15

x = 11.3 hours

please answer i need help

Answers

Answer:

5-3í

Step-by-step explanation:

Because the root of nine is three, equaling 5-3í

Answer: A) 5 - 3i

===========================================

Work Shown:

[tex]5 - \sqrt{-9}\\\\5 - \sqrt{-1*9}\\\\5 - \sqrt{-1}*\sqrt{9}\\\\5 - i*3\\\\5 - 3i\\\\[/tex]

In step 3, I used the rule [tex]\sqrt{x*y} = \sqrt{x}*\sqrt{y}[/tex]

Afterward, we use the definition that [tex]i = \sqrt{-1}[/tex]

2(x + 4) = 4x + 3 - 2x + 5

Answers

Answer:

0 true for all values

Step-by-step explanation:

which angle is supplementary to angle EOB

Answers

Answer:

Angle BOC

Please mark brainliest!!! Thanks.

write the equation of the line in slope-intercept form that has a y-intercept that is -5 and a slope of 8

Answers

Answer:

Step-by-step explanation:

y + 5 = 8(x - 0)

y + 5 = 8x - 0

y = 8x - 5

Write the component form of the vector that translates P(4,5) to P'(-3,7)

Answers

Answer:

The component form of the vector is v = -7·i + 2·j

Step-by-step explanation:

The given parameters are;

The coordinates of the initial point = P(4, 5)

The coordinates of the point after the translation by the vector, v = P'(-3, 7)

Therefore, we have;

The horizontal component of the vector, vₓ = (-3) - 4 = -7

The vertical component of the vector, [tex]v_y[/tex] = 7 - 5 = 2

The magnitude of the translation, v = √([tex]v_y[/tex]² + vₓ²) = √((-7)² + 2²) = √53 ≈ 7.28

Therefore, the component form of the vector, v, is given as follows;

v = vₓ·i + [tex]v_y[/tex]·j

Substituting the known values of vₓ and [tex]v_y[/tex] gives;

v = -7·i + 2·j

The component form of the vector is v = -7·i + 2·j.

Quadrilateral ABCD is translated down and left to form quadrilateral OLMN.

Quadrilateral A B C D is translated down and to the left to form quadrilateral O L M N.

If AB = 6 units, BC = 5 units, CD = 8 units, and AD = 10 units, what is LO?

5 units
6 units
8 units
10 units

Answers

Answer:

LO = 6 units ⇒ B

Step-by-step explanation:

Translation does not change the size or the shape of the figure

∵ Quadrilateral ABCD is translated down and left to form

   quadrilateral OLMN

The image of side AB is side OL

∴ The image of side BC is side LM

∴ The image of side CD is side MN

∴ The image of side AD is side ON

AB = 6 units

∵ Translation does not change the size of the figure

∴ The image of AB = 6 units

∵ The image of AB is OL

∴ The length of OL = 6 units

∵ OL = LO

LO = 6 units

The length of LO of the newly translated quadrilateral is; Option B: LO = 6 units.

Translation of objects in mathematics simply means to move an object from one point to another without a change of length or figure.

Now we are told that Quadrilateral ABCD is translated down and left to form quadrilateral OLMN.

Thus means Quadrilateral OLMN is still same size and length as ABCD and as such the sides will correspond in order.

Thus, it means that;

AB = OL

BC = LM

CD = MN

AD = ON

We are given;AB = 6 units, BC = 5 units, CD = 8 units, and AD = 10 units

Thus, since AB = OL, we can say that;

LO = 6 units.

Read more on translation of objects at;https://brainly.com/question/24850937

Does anyone know this? Pls help it’s 7th grade math

Answers

Answer:

Step-by-step explanation:

-1,-1?

depends on what you are trying to find. That is where they intercect.

-1,-1? I don’t really know ‍♀️

Please help me ...........

Answers

Answer:

The first answer is $1050000

The second answer is $1500000

The third one is $450000

Hope this helps:)

!!30 points!!
The container that
holds the water for
the foorball team s 1/3
full. After pouring in 12
gallons of water, it is
7/9 full.

After pouring in 12
gallons of water, it is
7/9 full. How many
gallons can the
container hold?

Answers

Your answer would be 27 Gallons.

Anwer is 27 gallons answered for your question

The difference of six times a number and five is 67.
pls include the equation.

Answers

Answer:

6x - 5 = 67

6x = 72

x = 12

Step-by-step explanation:

setting the equation and variable x to the number

6 times the number and its difference to five is 67

plus five on both sides

divide both sides by 6

answer is 12

Answer:

6x-5=67

move all terms that don't contain x to the right side and solve

x=12

6(12)-5=67

Step-by-step explanation:

:)

evelyn drinks 8 glasses of water a day which is 56 glasses a week how many galles of water does she drink in a year 1 year=56 weeks

Answers

Answer:

3,136 glasses each year.

Step-by-step explanation:

If one year = 56 weeks and 8 glasses a day = 56 glasses a week then,

56 (glasses) * 56 (weeks) = 3,136 glasses each year.

What is the answer for both? ​

Answers

Answer:

5. D

6. I think D. Because is y=mx+b and b is y the intercept in y. Y= 0-4 and replacing the -4 would remain at the end

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