Answered

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Quadrilateral ABCD is transformed to create A'B'C'D'. Match the coordinates of A' with the transformations that create it
(2, 1)
(6, 12)
(2,4)
(4,-5)
(-2,4)
(2,-4)
(6.-12)
(-4,5)

Quadrilateral ABCD Is Transformed To Create ABCD Match The Coordinates Of A With The Transformations That Create It 2 1 6 12 24 45 24 24 612 45 class=

Sagot :

The three basic types of rigid transformations are rotation, reflection and translation transformation

The correct options are;

Quadrilateral ABCD is reflected over the x-axis → (2, 4)

Quadrilateral ABCD translated 2 units right and 1 unit down → (4, -5)

Quadrilateral ABCD dilated about the origin by a scale factor of 3 → (6, -12)

Quadrilateral ABCD rotated 180° clockwise about the origin → (-2, 4)

The reasons the above matches are correct are as follows:

The given coordinates of the preimage are A(2, -4)

The image of (x, y) following a reflection over the x-axis is (x, -y)

Therefore

  • A(2, -4) in Quadrilateral ABCD is reflected over the x-axis → A'(2, 4)

The image of (x, y) following a translation of 2 units right and 1 unit down → (x + 2, y - 1)

Therefore;

  • A(2, -4) in Quadrilateral ABCD translated 2 units right and 1 unit down → A'(4, -5)

The image of (x, y) following a dilation about the origin by a scale factor of 3 is (3×x, 3×y)

Therefore;

  • A(2, -4) in Quadrilateral ABCD dilated about the origin by a scale factor of 3 → A'(6, -12)

The image of the point (x, y) rotated 180° clockwise about the origin is (-x, -y)

Therefore;

  • A(2, -4) in Quadrilateral ABCD rotated 180° clockwise about the origin → A'(-2, 4)

Learn more about rigid transformations here:

https://brainly.com/question/11018647

Answer:

look at the pic for correct answer

or my explanation below

Step-by-step explanation:

1....(2.4)

2...(4.-5)

3...(6.-12)

4...(-2.4)

View image 2discsleeve
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