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What is the rule used to reflect the triangle ABC to its image?
A. Reflect over y = -x
B. Reflect over y = x
C. Reflect over the x axis
D. Reflect over the y-axis

What Is The Rule Used To Reflect The Triangle ABC To Its Image A Reflect Over Y X B Reflect Over Y X C Reflect Over The X Axis D Reflect Over The Yaxis class=

Sagot :

Ashraf82

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)

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