6 Rectangle 1
4
Rectangle 2
2
6
8
-8
-6
-4
2
4
-2
2
-4
6
-8
Select all of the transformations or series of transformations that support his claim.
a translation of 12 units right and 2 units down
a translation of 2 units down followed by a 180° rotation about the point (1,2)
a reflection over the line x = 0 followed by a reflection over the line y = 4
O O O O O
a reflection over the line x = 1 followed by a translation of 2 units down
a rotation of 180° about the point (1.4)
a translation of 6 units right

Determine if the following statement is true or false. the normal curve is symmetric about its​ mean, mu. choose the best answer below. a. the statement is false. the normal curve is not symmetric about its​ mean, because the mean is the balancing point of the graph of the distribution. the median is the point where​ 50% of the area under the distribution is to the left and​ 50% to the right.​ therefore, the normal curve could only be symmetric about its​ median, not about its mean. b. the statement is true. the normal curve is a symmetric distribution with one​ peak, which means the​ mean, median, and mode are all equal.​ therefore, the normal curve is symmetric about the​ mean, mu. c. the statement is false. the mean is the balancing point for the graph of a​ distribution, and​ therefore, it is impossible for any distribution to be symmetric about the mean. d. the statement is true. the mean is the balancing point for the graph of a​ distribution, and​ therefore, all distributions are symmetric about the mean.