Figures in the Coordinate Plane (Sec 9-1)

Question 1

Step 1: Find the slope of AB. The slope of AB is .

Revolt · Accepted Answer

D: 5

Question 2

To determine if it is a parallelogram, use the converse of the parallelogram diagonal theorem. This states that if the diagonals , then the quadrilateral is a parallelogram.

Revolt · Accepted Answer

C: bisect each other

Question 3

Step 2: Find the slope of DC. The slope of DC is .

Revolt · Accepted Answer

B: –1/5

Question 4

The midpoint of HJ is and the midpoint of IK is (2, 2).

Revolt · Accepted Answer

B: (2, 2)

Question 5

Step 3: Find the slope of BC. The slope of BC is .

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C: 2/3

Question 6

Therefore, HIJK is a parallelogram because the diagonals , which means they bisect each other.

Revolt · Accepted Answer

C: have the same midpoint

Question 7

Step 4: Find the slope of AD. The slope AD is .

Revolt · Accepted Answer

C: 2/3

Question 8

The quadrilateral is a trapezoid because .

Revolt · Accepted Answer

C: only one pair of opposite sides is parallel

Figures in the Coordinate Plane (Sec 9-1) Answers

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