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△abc has vertices a(0, 0), b(5, -2), and c(-3, 6). find the vertices of…

Question

△abc has vertices a(0, 0), b(5, -2), and c(-3, 6). find the vertices of abc after the following translation: 6 units right and 5 units up (assumed from context of translation). 4. write the ordered pair for the translated point b. type a response

Explanation:

Step1: Recall translation rules

To translate a point \((x, y)\) \(h\) units right and \(k\) units up, the new coordinates are \((x + h, y + k)\). Here, \(h = 6\) (right) and \(k = 5\) (up), and the original point \(B\) is \((5, - 2)\).

Step2: Apply translation to point B

For the \(x\)-coordinate: \(5+6 = 11\)
For the \(y\)-coordinate: \(-2 + 5=3\)

Answer:

\((11, 3)\)