Proving a Quadrilateral Is a Parallelogram

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

Revolt · Accepted Answer

2/3

Question 4

The quadrilateral is a trapezoid because .

Revolt · Accepted Answer

only one pair of opposite sides is parallel

Question 5

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

Revolt · Accepted Answer

5

Question 6

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

bisect each other

Question 7

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

Revolt · Accepted Answer

have the same midpoint

Question 8

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

Revolt · Accepted Answer

only one pair of opposite sides is parallel

Question 9

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

Revolt · Accepted Answer

(2, 2)

Proving a Quadrilateral Is a Parallelogram Answers

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