Give an example of a statement that you think is easier to prove with a coordinate geometry proof that with a paragraph or two column proof

The rectangle on the right is the image of the rectangle on the left. what transformation would result in this image? reflection rotation translation dilation

Josh has a rewards card for a movie theater he receives 15 points for becoming a rewards card holder he earns 3.5 points for each visit to the movie theater he needs at least 55 points to earn a free movie ticket which inequality can josh use to determine x, the minimum number of visits he needs to earn his first free movie ticket.

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