1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bumek [7]
2 years ago
11

Pentagon ABCDE and pentagon A″B″C″D″E″ are shown on the coordinate plane below:

Mathematics
1 answer:
erastova [34]2 years ago
5 0

The transformations that are applied to pentagon ABCDE to create A"B"C"D"E" are:

1) Translation (x, y) → (x + 8, y + 2)

2) Reflection across the x-axis (x, y) → (x, -y)

So, the overall transformation given in the graph is (x, y) → {(x + 8), -(y + 2)}.

<h3>What are the transformation rules?</h3>

The transformation rules are:

  • Reflection across x-axis: (x, y) → (x, -y)
  • Reflection across y-axis: (x, y) → (-x, y)
  • Translation: (x, y) → (x + a, y + b)
  • Dilation: (x, y) → (kx, ky)

<h3>Calculation:</h3>

The pentagons in the graph have vertices as

For the pentagon ABCDE: A(-4, 5), B(-6, 4), C(-5, 1), D(-2, 2), and (-2, 4)

For the pentagon A"B"C"D"E": A"(4, -7), B"(2, -6), C"(3, -3), D"(6, -4), and E"(6, -6)

Consider the vertices A(-4, 5) from the pentagon ABCDE and A"(4, -7) from the pentagon A"B"C"D"E".

Applying the Translation rule for the pentagon ABCDE:

The rule is (x, y) → (x + a, y + b)

So, the variation is

-4 + a = 4

⇒ a = 4 + 4 = 8

5 + b = 7

⇒ b = 7 - 5 = 2

So, the pentagon ABCDE is translated by (x + 8, y + 2).

Applying the Reflection rule for the translated pentagon:

The translated pentagon has vertices (x + 8, y + 2).

When applying the reflection across the x-axis,

(x + 8, y + 2) → {(x + 8), -(y + 2)}

Therefore, the complete transformation of the pentagon ABCDE to the pentagon A"B"C"D"E" is (x, y) → {(x + 8), -(y + 2)}

Verification:

A(-4, 5) → ((-4 + 8), -(5 + 2)) = (4, -7)A"

B(-6, 4) → ((-6 + 8), -(4 + 2)) = (2, -6)B"

C(-5, 1) → ((-5 + 8), -(1 + 2)) = (3, -3)C"

D(-2, 2) → ((-2 + 8), -(2 + 2)) = (6, -4)D"

E(-2, 4) → ((-2 + 8), -(4 + 2)) = (6, -6)E"

Learn more about transformation rules here:

brainly.com/question/4289712

#SPJ1

You might be interested in
What is equivalent to 32/40
WARRIOR [948]
4/5 is a fraction equivalent to 32/40.  This is in simplest form.
Another fraction that is equivalent to 32/40 is 16/20.
3 0
3 years ago
Read 2 more answers
Order from greatest to least 1.202;1.29;1.02
Reptile [31]

Answer:

1.29, 1.202, 1.02

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The graph of a linear function is shown on the grid
monitta

Answer: Choice A

y + 1 = -3(x+2)

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

Explanation:

Let's look through the answer choices.

Choices C and D show that the point (2,1) is on the line. But the graph does not show this. So we can rule out choices C and D.

With choice A, the slope is negative and choice B has a positive slope.

The answer must be choice A because the line is going downhill as we move from left to right.

--------------

A common method is to pick two points on the line and compute the slope using the slope formula

m = (y2-y1)/(x2-x1)

Once you know the slope, you would use point slope form

y - y1 = m(x - x1)

4 0
3 years ago
Point G(-3,2) is translated using the rule (x+10, y-6). What is the x-coordinate of G'?
Mademuasel [1]

Answer:

the anser is 7 :)

Step-by-step explanation:

5 0
3 years ago
Will give brainliest, thanks in advance!!
tester [92]

Answer:

-3+15i

Step-by-step explanation:

Apply complex arithmetic rule: \left(a+bi\right)\left(c+di\right)=\left(ac-bd\right)+\left(ad+bc\right)i

\left(-3\cdot \:3-3\left(-2\right)\right)+\left(-3\left(-2\right)+3\cdot \:3\right)i

-3 * 3 -3 (-2) = -3

-3+15i

8 0
2 years ago
Other questions:
  • During the first 3 months of opening a cupcake shop, Kanya had 3,000 customers. After 10 months from opening, she had 800 custom
    8·1 answer
  • If the graph of f(x) = 4* is shifted 7 units to the left, then what would be the equation of the new graph?
    14·1 answer
  • I need help is due in 20 minute
    7·1 answer
  • Whats an equation for (0,75) (7,40) in slope intercept form
    6·1 answer
  • Amelie works on her homework for 14 hour before her soccer practice and 23 hour after her soccer practice.
    7·2 answers
  • Brian buys 1 pack of baseball cards to add to the 2 cards his friend gave him. then his mother gives him 2 more packs as a speci
    7·1 answer
  • PLSS HELP WILL GIVE BRAINLIEST
    8·1 answer
  • What is the slope of the line? pls help
    11·1 answer
  • An article presents a study of health outcomes in women with symptoms of heart disease. In a sample of 115 women whose test resu
    6·1 answer
  • I need help please help me
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!