The answer is below
Step-by-step explanation:
Select the two answers
a.A would be at (-3,5)
b. B would be at (-1,5)
c.C would be at (-5,8)
d. It would end at the same spot if the original design was reflected across the x-axis,followed by a 180 degree rotation about the origin,followed by translation 1 unit to the left.
E.It would end at the same spot if the original design was reflected 180 degrees rotation about the origin,followed by a translation 3 unit up and translated 1 unit to the left
Select the two answers
a.A would be at (-3,5)
b. B would be at (-1,5)
c.C would be at (-5,8)
d. It would end at the same spot if the original design was reflected across the x-axis,followed by a 180 degree rotation about the origin,followed by translation 1 unit to the left. Â
E.It would end at the same spot if the original design was reflected 180 degrees rotation about the origin,followed by a translation 3 unit up and translated 1 unit to the left
Solution:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.
If a point X(x, y) is translated b units up and a units right, the new point is X'(x + a, y + b). If a point X(x, y) is translated b units down and a units left, the new point is X'(x - a, y - b)
If X(x, y) is reflected across the y axis, the new point is X'(-x, y)
If X(x, y) is reflected across the x axis, the new point is X'(x, -y)
If X(x, y) is rotated 180 degrees, the new point is X'(-x, -y)
If A(2, 0), B(4,-2), C(2,-5) and D(0,-2). If he translates it 5 units to the left and 3 units down the new point is A'(-3, -3), B'(-1, -5), C'(-3, -8), D'(-5, -5). If it is then reflected across the y axis, the new point is A"(3, -3), B"(1, -5), C"(3, -8), D"(5, -5).
If A(2, 0), B(4,-2), C(2,-5) and D(0,-2). If he reflected across the x-axis the new point is A'(2,0), B'(4, 2), C'(2, 5), D'(0, 2). If it is then rotated 180 degrees, the new point is A"(-2, 0), B"(-4, -2), C"(-2, -5), D"(0, -2). If it is translated 1 unit left the point would be A"'(-3, 0), B"'(-5, -2), C"'(-3, -5), D"'(-1, -2)
If A(2, 0), B(4,-2), C(2,-5) and D(0,-2). If he rotated 180 degrees the new point is A'(-2, 0), B'(-4, 2), C'(-2, 5), D'(0, 2). If it is then translated it 3 units up and 1 units left, the new point is A"(-3, 3), B"(-5, 5), C"(-3, 8), D"(-1, 5).
