How many lines of symmetry does a regular heptagon have?

Posted: July 13th, 2022

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Point ????(−5,8) is reflected across the line ???? = ????. What are the coordinates of ????′? Show your work and explain. 
Suppose point ????(4, −9) is translated according to the rule (????, ????) → (???? + 3, ???? − 2). What are the coordinates of ????′? Explain. 
How many lines of symmetry does a regular heptagon have? Explain your answer. 
Suppose the point ????(2,8) is reflected across the ???? −axis and then translated according to the rule (????, ????) → (????, ???? + 4). What are the coordinates of ????′′? Show your work and explain.

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