Question

Shape D is made by applying a single transformation to shape C.

Work out if shape C and D are similar, congruent, both or neither when the transformation is…
A) a translation
B) an enlargement with scale factor 3
C) an enlargement with scale factor 1/3
D) a rotation
E) a reflection

Answer 1

Shape C and D can be congruent, similar, or both depending on the transformation applied.

Step-by-step explanation:

When a transformation is a translation, both shape C and D will remain congruent because a translation simply slides a shape in a certain direction without changing its size or shape.

When an enlargement is applied with a scale factor of 3, shape D will be similar to shape C because every length in shape D will be three times the length of the corresponding length in shape C.

When an enlargement is applied with a scale factor of 1/3, shape D will also be similar to shape C because every length in shape D will be one-third the length of the corresponding length in shape C.

When a rotation or a reflection is applied to shape C, shape D will be congruent to shape C because these transformations preserve both size and shape.