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.
Part B: Are the two figures congruent? Explain your answer.
(make it sound like an eight grade girl who is a tomboy who doesn't used 'like' after every sentence, make it so that she shows her work but not too much work, also make it less than 200 words)
Part A:
To change figure ABCD to figure A'B'C'D', the following transformations are applied:
1. Translation: The figure is translated 7 units to the right and 8 units down. This results in the new coordinates:
A: (-4 + 7, 4 - 8) = (3, -4)
B: (-2 + 7, 2 - 8) = (5, -2)
C: (-2 + 7, -1 - 8) = (5, 1)
D: (-4 + 7, 1 - 8) = (3, -1)
Part B:
The two figures are not congruent. Congruent figures have the same shape and size, but in this case, while the shapes of the figures are the same, the sizes have changed. Figure ABCD is smaller than figure A'B'C'D' after the transformation.