Based on a graph below which sequence of transformation is needed to carry ABCD onto its image A’B’C’D?

Given:

The vertices of ABCD are A(2,3), B(5,6), C(8,6) and D(8,3).

The vertices of A'B'C'D' are A'(-2,6), B'(-5,3), C'(-8,3) and D'(-8,6).

To find:

The sequence of transformation is needed to carry ABCD onto its image A’B’C’D.

Solution:

The vertices of ABCD are A(2,3), B(5,6), C(8,6) and D(8,3).

If figure ABCD translated by the rule, , then

Then the figure rotated 180 degrees clockwise about the origin. So,

So, the required sequence of transformation that is needed to carry ABCD onto its image A’B’C’D is " A translation by the rule and then a 180° clockwise rotation about the origin".

Therefore, the correct option is D.

a. the residual plot for model 1 has a random pattern and is a good fit for the data.

a = 11 : 4

b = 38

c = 1 for every 6