Given:
Lee drew five rectangles as shown on this coordinate grid
.
To find:
The correct statement.
Solution:
From the given diagram, it is clear that,
Dimensions of rectangle x are 6 by 3 units.
Dimensions of rectangle A are 7 by 3 units.
Dimensions of rectangle B are 6 by 3 units.
Dimensions of rectangle C are 3 by 6 units.
Dimensions of rectangle D are 6 by 4 units.
Dimensions of rectangle x and B are same and clearly it can be translation or rotation about the origin.
Dimensions of rectangle x and C are same but only rotation is not sufficient to get rectangle C from rectangle x.
Dimension of rectangle x, A and D are different, so they are not congruent and we cannot get rectangle A and D by rotation, reflection and translation.
Therefore, the correct option is B.
