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
