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Mathematics

The coordinate grid below shows Alices neighborhood. Point A represents Alices house. Her friends Barbara, Carlos, and Dana also live in the neighborhood.

y

8 7 6 5 4 3 2 1

# A

• 0

1

2345678

x

Part A Plot Point A on the grid in your answer booklet. Barbaras house is at the point (1, 5). Plot that point and label it Point B. Carloshouse is at the point (1, 2). Plot that point and label it Point C.

Part B If Alice walks to Barbaras house and the two girls then walk to Carloshouse before returning to Alices, which type of triangle is formed?

Part C Point D represents Danas house. When the four houses are connected by line segments, they form a trapezoid.

Find and label a Point D on the grid. Identify the coordinates of the point you labeled as Point D and explain why quadrilateral ABCD is a trapezoid.

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