Question

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

Answer 1

Answer:

The single transformation that maps triangle A onto triangle B is the reflection about the x-axis

Step-by-step explanation:

• If the point (x, y) is reflected about the x-axis, then its image is (x, -y)

• If the point (x, y) is reflected about the y-axis, then its image is (-x, y)

From the given figure

∵ The vertices of triangle A are (1, -2), (4, -1), (4, -4)

∵ The vertices of triangle B are (1, 2), (4, 1), (4, 4)

→ Look at the y-coordinates of the vertices of the two triangles, they

   have the same values and opposite signs

∵ The image of (1, -2) is (1, 2)

∵ The image of (4, -1) is (4, 1)

∵ The image of (4, -4) is (4, 4)

→ By using the first rule above

∴ Triangle A is reflected about the x-axis

The single transformation that maps triangle A onto triangle B is the reflection about the x-axis