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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:

Ogorwyneidn

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:

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View image Ogorwyne
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