A rectangle is a shape that has four sides in which all angles are equal and opposite sides are equal and parallel to each other. The perimeter of a rectangle is the sum of all its sides. Since opposite sides are equal, the perimeter is given as:
Perimeter = 2(length + width)
Since the sides of the rectangle are 2 x + 11 units long and 10 x + 1 units long. Hence:
Bottom Right: Following CPCTC (Corresponding Parts of Congruent Triangles are Congruent), we can see that the corresponding parts are congruent (for example, UV ≅ XY, ∠W ≅ ∠T, etc.)
Bottom left: Again, CPCTC.
DE ≅ QP
∠E ≅ ∠Q
etc.
Not B), because, while BC ≅ GH, the angles are not all the same, which makes it non-congruent.
Not A), because while they both have right angles, the sides are not congruent (cannot be simplified to the same ratio).
