Which of the following shapes is congruent to shape S? Circle your answer. Is it shape A, shape B, shape C, or shape D?
The word congruent means that the shapes are identical except for rotation or reflection. The correct shape would fit exactly on top of shape S . All four of the shapes have the same part highlighted in pink, so this will not help us decide which one is congruent.
Only two of the shapes, shape B and shape D, have the part of the shape shown in orange. Shape C does not, as the two parts are on opposite sides. Whilst shape A looks like it could have this part of the shape, the gap between both bits is too large. Neither shape A nor shape C are congruent to shape S.
The pink and orange parts of the shape are on opposite sides on shape S. Whereas, on shape B, they are both on the left-hand side of the shape. This means that shape B is not congruent to shape S.
Shape D, on the other hand, has the orange part on one side and the pink part on the other side in the same way as shape S does. This means that shape D is congruent to shape S. So, this is the shape that we need to circle. Completing the shape by drawing the three blue lines on shape S and shape D shows us that they are identical and are, therefore, congruent.