Shape and Space 5

Describe fully the single transformation that maps the triangle with vertices (3, 2), (6, 2), (6, 5) onto the triangle with vertices (–3, 2), (–6, 2), (–6, 5).

How are the object and the image related if a shape is reflected or rotated? Write one word.

A shape is enlarged by a scale factor of 3 about the centre (0, 0). One vertex of the original shape is at (–2, 4). What are the coordinates of the corresponding vertex on the image? Show your working.

A square has been enlarged by scale factor about the origin to produce a new square. The sides of the new square are 12 units long, and the original square's sides are 4 units long. Find the value of .

Fill in the missing vector (column vector form) for each transformation based on the given movement:

A triangle has vertices at (1, 1), (3, 1), and (1, 4). The triangle is first reflected in the line y = x, and then the image is translated by the vector .

Explain how you would distinguish between congruent and similar triangles on a coordinate grid. Give examples of a transformation that produces congruent triangles and one that produces similar triangles.

Shape A has vertices at (–4, 1), (–1, 1), and (–4, 4). Shape A is enlarged by scale factor k about the origin to produce shape B, which has one vertex at (–8, 2).