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(02.03 MC)

Figure ABCD is transformed to obtain figure A′B′C′D′:

A coordinate grid is shown from negative 6 to 6 on both axes at increments of 1. Figure ABCD has A at ordered pair negative 4, 4, B at negative 2, 2, C at negative 2, negative 1, D at negative 4, 1. Figure A prime B prime C prime D prime has A prime at ordered pair 4, 1, B prime at 2, negative 1, C prime at 2, negative 4, D prime at 4, negative 2.
Part A: Write the sequence of transformations that changes figure ABCD to figure A′B′C′D′. Explain your answer and write the coordinates of the figure obtained after each tran'sformation. (6 points)

Part B: Are the two figures congruent? Explain your answer. (4 points)

Respuesta :

Answer:

Step-by-step explanation:

Reflected along x axis

Translated 7 units to the right

A transformation of a point is the movement of the point from its initial position to a new position. If an object is transformed, all its points are also transformed. Types of transformation are reflection, rotation, dilation and translation.

Figure ABCD has A at (- 4, 4), B at (- 2, 2), C at (- 2, - 1), D at (- 4, 1).

If a point (x, y) is reflected along the x axis, its x coordinate remains the same and the y coordinate is opposite (negated). The new point is at (x, -y)

If a point (x, y) is translated h units to the right, the new coordinate is (x+h, y).The transformation are as follows:

It is reflected along the x axis so that the new coordinates would be at A1 at (- 4, -4), B1 at (- 2, -2), C1 at (- 2, 1), D1 at (- 4, -1)

It is translated 7 units to the right, The new coordinates are A' at (3, -4), B' at (5, -2), C' at (5, 1), D' at (3, -1)

Figure ABCD was reflected over the y axis to obtain A'(4, 4), B'(2, 2), C'(2, -1), and D'(4, 1). It was then translated 4 units down to form A''(4, 0), B''(2, -2), C''(2, -5) and D''(4, -3).

Transformation

A transformation exists as a general term for four distinctive ways to influence the shape and/or position of a point, a line, or a geometric figure. The original shape of the object exists called the Pre-Image and the final shape and position of the object exists as the Image under the transformation

Transformation exists in the movement of a point from its initial location to a new location. Kinds of transformation are translation, reflection, rotation, and translation.

Figure ABCD was reflected over the y axis to obtain A'(4, 4), B'(2, 2), C'(2, -1), and D'(4, 1). It was then translated 4 units down to form A''(4, 0), B''(2, -2), C''(2, -5) and D''(4, -3).

To learn more about Transformation refer to:

https://brainly.com/question/18443521

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