Reflection

The point (3, 2) is reflected in the y-axis.

Write down the coordinates of the image.

The point (4, 1) is reflected in the x-axis.

Write down the coordinates of the image.

The point P has coordinates (3, 5).

P is reflected in the y-axis to give the point P′.

Write down the coordinates of P′.

The point (2, 5) is reflected in the line y = 3.

Write down the coordinates of the image.

A triangle has vertices at (1, 1), (4, 1) and (1, 3).

The triangle is reflected in the x-axis.

Write down the coordinates of the vertices of the image.

Triangle ABC has vertices A(1, 1), B(4, 1) and C(1, 3).

The triangle is reflected in the line x = 5.

Write down the coordinates of the image of each vertex.

On the grid, reflect triangle P in the mirror line x = 5.

Reflect each point in the line y = x.

1. (3, 2)
2. (−1, 4)

A triangle has vertices at (1, 2), (3, 2) and (3, 5).

The triangle is reflected in the line x = 4.

Write down the coordinates of the vertices of the image.

The point P(2, 3) is reflected to the point P'(2, −5).

Write down the equation of the mirror line.

Triangle P has vertices at (2, 1), (5, 1) and (5, 3).

Triangle Q has vertices at (2, −1), (5, −1) and (5, −3).

Describe fully the single transformation that maps triangle P onto triangle Q.

Triangle B is the image of triangle A after a single transformation.

Describe fully the single transformation that maps triangle A onto triangle B.

Sam says the image of the point (2, 4) after a reflection in the line y = x is (−4, −2).

Sam is wrong. Write down the correct image and say which mirror line gives Sam's answer.

Triangle A has vertices at (2, 1), (5, 1) and (2, 3).

Triangle A is reflected in the y-axis to give triangle B.

1. Write down the coordinates of the vertices of triangle B.
2. Triangle C has vertices at (−1, −2), (−4, −2) and (−1, 0). Find the vector of the translation that maps triangle B onto triangle C.

The point A(1, 2) is reflected in the line x = 3 to give A'.

A' is then reflected in the line x = 6 to give A''.

1. Write down the coordinates of A''.
2. Describe the single transformation that maps A to A''.

Triangle T has vertices at (1, 1), (3, 1) and (1, 2).

Triangle T is reflected in the y-axis to give triangle T₁.

Triangle T₁ is then reflected in the x-axis to give triangle T₂.

Describe fully the single transformation that maps triangle T onto triangle T₂.

On the grid, reflect triangle T in the line y = x.

The point (3, 2) is reflected in the line y = −x.

The image is then reflected in the line y = x.

1. Write down the coordinates of the final image.
2. Describe the single transformation that maps (3, 2) to the final image.