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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 3, negative 4, B prime at 5, negative 2, C prime at 5, 1, D prime at 3, negative 1. 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 transformation. (6 points)

Part B: Are the two figures congruent? Explain your answer.

Respuesta :

Answer

:Reflected along x axis

Translated 7 units to the righ

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)

Step-by-step explanation:

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Alright, I am hoping this is an flvs question, and that it comes from the quiz.

I came to this question because I needed help on it, but now I understand it, so im gonna help others :)

For Part A, the answer would be reflected on the x axis, translated 7 units to the right. This is true because by only reflecting it, the figure would not be on the exact spot. We have to translate it to the right.

For part B, the simple answer is that they are NOT congruent. As shown, they have been translated and moved, so in conclusion, they are not congruent. PLS MARK BRAINLIEST, not trying to be mean or anything, but I need it way more than the other person if you look at our ranks.