Answer:
Quadrilateral LMNO is a Parallelogram. This is because it's opposite sides are equal to each other.
Step-by-step explanation:
Where we have vertices (x₁, x₂)and (y₁, y₂) we use the formula:
√(x₂-x₁)²-(y₂-y₁)²
LMNO is located at L (1, 2) M (3, 1), N (0, 0), and O (−2, 1)
Side LM = L (1, 2) M (3, 1),
√(x₂-x₁)²-(y₂-y₁)²
√(3-1)² + (1 - 2)²
√ 2² + 1²
√4 + 1
= √5
Side MN = M (3, 1), N (0, 0),
√(x₂-x₁)²-(y₂-y₁)²
√(0 -3)² + (0 - 1)²
√3² + 1²
√10
Side NO = N (0, 0), O (−2, 1)
√(x₂-x₁)²-(y₂-y₁)²
√(-2 -0)² + (1 - 0)²
√(-2²) + (1)²
√4 + 1
√5
Side LO = L (1, 2) , O (−2, 1,)
√(x₂-x₁)²-(y₂-y₁)²
√(-2-1)² + (1 - 2)²
√(-3)² +(-1)²
√ 9 + 1
√10
From the above calculation, we can see that
LM = √5
MN = √10
NO = √5
LO = √10
In Quadrilateral LMNO
LM is the opposite side of NO
MN is the opposite side of LO
In the calculation above, LM = NO and MN = LO
This means the shape above is a Parallelogram, where the opposite sides are equal to each other
Answer:
A. Parallelogram
Step-by-step explanation:
just took the test :)
