faithseau
Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Get detailed and precise answers to your questions from a dedicated community of experts on our Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Rectangle A'B'C'D' is the image of rectangle ABCD after it has been translated according to the rule T–4, 3(x, y).

On a coordinate plane, a rectangles has points A prime (negative 5, 4), B prime (3, 4), C prime (3, 1), and D prime (negative 5, 1).
Which points are vertices of the pre-image, rectangle ABCD? Select four options.

(–1, –2)
(7, 1)
(–1, 7)
(–1, 1)
(7, –2)

Sagot :

Answer:

(–1, –2)

(7, 1)

(–1, 7)

(–1, 1)

Explanation:

ogorwyne

The four points that are the vertex of the rectangle are:

  • (–1, –2)
  • (7, 1)
  • (7, –2)
  • (–1, 1)

What is the vertex of a rectangle?

The vertex of a shape can be defined as the point in the shape where two lines or more lines would meet themselves.

To get the vertex of this rectangle, the lines have to be made to join themselves at the four angles of the rectangles.

Given data

translation rule: -4, 3 (x, y)

A' (-5, 4)

B' (3, 4)

C' (3, 1)

D' (-5, 1)

solution

for vertex A'

x

-5 = x + -4

x = -5 + 4

x = - 1

y

4 = y + 3

y = 4 - 3

x =  1

hence A ( -1, 1 )

for vertex B'

x

3 = x + -4

x = 3 + 4

x = 7

y

4 = y + 3

y = 4 - 3

x =  1

hence B ( 7, 1 )

for vertex C'

x

3 = x + -4

x = 3 + 4

x = 7

y

1 = y + 3

y = 1 - 3

x =  - 2

hence C ( 7, - 2 )

for vertex D'

x

-5 = x + -4

x = -5 + 4

x = - 1

y

1 = y + 3

y = 1 - 3

x =  -2

hence D ( -1, -2 )

summary

A ( - 1, 1  )

C ( 7, - 2 )

B ( 7, 1 )

D ( - 1, -2 )

comparing above with the given options shows that the wrong option is  ( - 1, 7 )

Read more on vertex here:

https://brainly.com/question/4160432

#SPJ2

View image ogorwyne
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.