Question

What is the rule used to reflect the triangle ABC to its image?

Answer 1

Answer:

The rule used to reflect Δ ABC to its image is Reflect over y = x ⇒ B

Step-by-step explanation:

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

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

• If the point (x, y) reflected across the line y = x , then its image is (y, x)

• If the point (x, y) reflected across the line y = -x , then its image is (-y, -x)

From the given figure

∵ The coordinates of point A are (-4.5, 6)

∵ The coordinates of point A' are (6, -4.5)

→ The coordinates are switched ⇒ 3rd rule

∴ Point A is reflected over the line y = x

∴ Δ ABC is reflected over the line y = x

∴ The rule used to reflect Δ ABC to its image is Reflect over y = x

Note: Point B' on the graph should be C' and point C' should be B' (correct it)