Figures in the Coordinate Plane

Question 1

What is true about triangle LMN? Check all that apply.

Revolt · Accepted Answer

LM ⊥ MN.; The triangle is isosceles.; The triangle is a right triangle.

Question 2

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

Revolt · Accepted Answer

–1/5

Question 3

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

Revolt · Accepted Answer

2/3

Question 4

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

Revolt · Accepted Answer

2/3

Question 5

The quadrilateral is a trapezoid because .

Revolt · Accepted Answer

only one pair of opposite sides is parallel

Question 6

The coordinates of the vertices for the figure HIJK are H(0, 5), I(3, 3), J(4, –1), and K(1, 1).

Revolt · Accepted Answer

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.: bisect each other; The midpoint of HJ is and the midpoint of IK is (2, 2).: (2, 2); Therefore, HIJK is a parallelogram because the diagonals , which means they bisect each other.: have the same midpoint

Question 7

Determine whether quadrilateral ABCD with vertices A(–4, –5), B(–3, 0), C(0, 2), and D(5, 1) is a trapezoid.

Revolt · Accepted Answer

5; Step 1: Find the slope of AB. The slope of AB is .: 5; Step 2: Find the slope of DC. The slope of DC is .: –1/5; Step 3: Find the slope of BC. The slope of BC is .: 2/3; Step 4: Find the slope of AD. The slope AD is .: 2/3; The quadrilateral is a trapezoid because .: only one pair of opposite sides is parallel

Question 8

The coordinates of the vertices for the figure HIJK are H(0, 5), I(3, 3), J(4, –1), and K(1, 1).

Revolt · Accepted Answer

✔ bisect each other; 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.: bisect each other; The midpoint of HJ is and the midpoint of IK is (2, 2).: (2, 2); Therefore, HIJK is a parallelogram because the diagonals , which means they bisect each other.: have the same midpoint

Question 9

(–2, 3)✔ (2, 2)(3, 2)

Revolt · Accepted Answer

✔ (2, 2)

Question 10

have different midpointsare perpendicular ✔ have the same midpoint

Revolt · Accepted Answer

✔ have the same midpoint

Figures in the Coordinate Plane Answers

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