Triangle ABC has vertices A(−3, 1), B(−3, 4), and C(−7, 1).

Part A: If ∆ABC is translated according to the rule (x, y) → (x − 4, y + 3) to form ∆A'B'C', how is the translation described with words? (3 points)
Part B: Where are the vertices of ∆A'B'C' located? Show your work or explain your steps. (4 points)
Part C: Triangle A'B'C' is rotated 90° clockwise about the origin to form ∆A"B"C". Is ∆ABC congruent to ∆A"B"C"? Give details to support your answer. (3 points)

Question

07-10-2022
Mathematics

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Triangle ABC has vertices A(−3, 1), B(−3, 4), and C(−7, 1).

Part A: If ∆ABC is translated according to the rule (x, y) → (x − 4, y + 3) to form ∆A'B'C', how is the translation described with words? (3 points)
Part B: Where are the vertices of ∆A'B'C' located? Show your work or explain your steps. (4 points)
Part C: Triangle A'B'C' is rotated 90° clockwise about the origin to form ∆A"B"C". Is ∆ABC congruent to ∆A"B"C"? Give details to support your answer. (3 points)

Sagot :

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