Question

YEAR 9 MATHS - PLEASE HELP

Triangles A and B are drawn on a coordinate grid.
Describe fully the single transformation that maps triangle A onto triangle B.

It is a/an...
in the line....

Answer 1

The single transformation that fully maps triangle A onto triangle B is the reflection of triangle A across the line y = x

Explanation:

The coordinates of the vertices of triangle A are

1) (4, -1)

2) (1, -3)

3) (4, -3)

The coordinates of the vertices of triangle B are

1) (-1, 4)

2) (-3, 1)

3) (-3, 4)

Therefore, we have the points (x, y) in triangle A becoming the points (y, x) in triangle B, which is a reflection across the line y =x.

Hence, the single transformation that fully maps triangle A onto triangle B is the reflection of triangle A across the line y = x.