Kayla is building a rectangular garden in her backyard and is planning out the design on a coordinate plane where each unit represents 1 foot. The vertices of the garden are (3, 6), (3, 9), (8, 9) and (8, 6). She needs to figure out the area of her garden in order to decide how much soil to buy. What is the area of her garden in square feet? Show your work.
A map of a town is drawn on a coordinate grid where each unit represents a mile. The middle school is located at (3, –8). Marcy’s house is at (3, 2) and Henry’s house is at (8, –8). Does Marcy or Henry live closer to the school? Justify your answer and show any calculations used.
A point is translated 2 units right and 5 units down on the coordinate plane. How will this affect the x- and y-coordinates of the point?
Triangle ABC is rotated 90 degrees counterclockwise about point P to create triangle A’B’C’. How far will C’ be from point P? Justify your answer.
Which quadrant of a coordinate plane will a point will be located in if its x-coordinate is positive and its y-coordinate is negative? Justify your answer.
Look at quadrilateral PQRS and its scaled image P’Q’R’S’. What scale factor was used for the scaled image? Explain how you determined this.
The triangles shown are similar. Write a proportion that could be used to determine the missing length. Explain why you set up your proportion the way that you did.
Explain how you can predict whether the product of is less than or more than 5. Then calculate the product.
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