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30. reflect triangle with vertices (1, 2), (4, 2), and (1, 5) across y …

Question

  1. reflect triangle with vertices (1, 2), (4, 2), and (1, 5) across y = x. what is the image of (4, 2)?

(4, 2)
(2, 4)
(-2, -4)
(-4, -2)

Explanation:

Step1: Recall the reflection rule

When reflecting a point \((x,y)\) across the line \(y = x\), the rule is \((x,y)\to(y,x)\).

Step2: Apply the rule to the point \((4,2)\)

For the point \((4,2)\), using the rule \((x = 4,y = 2)\to(y = 2,x = 4)\).

Answer:

B. \((2,4)\)