Answer:
v
Step-by-step explanation:
Answer:
1 - expressions that are equal in value even though they are written in different ways, 2 - a(b + c) = ab + ac, or a(b + c) = ab - ac, 3 - a number that divides evenly into another number; a number multiplied to get a product, 4 - a single term; multiple terms connected by an addition or subtraction sign, 5 - a mathematical statement that shows two expressions are equal using an equal sign, 6 - an expression that uses variables to state a rule, 7 - a relation in which for any given input value, there is only one output value.
Answer: The correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.
Explanation:
It is given that coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .
The distance formula for two points is given below,





Slope formula,

Slope of DE,

Slope of EF,

Slope of FG,

Slope of DG,

The slope of opposite sides are equal, it means the opposite sides are parallel.
All four sides do not have the same length. It means it is not a rhombus.
From the figure it is noticed that the opposite sides are parallel.
Therefore, the correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.