a graph shows vertices L and N of rhombus LMNO. which of the following ordered pairs represents a location for vertx M and vertex O that wiill not make rhombus LMNO?
A. (-2,-2) and (-6,-2)
B. (-2,-1) and (-6,-1)
C. (0,-2) and (-8,-2)
D. (-9,-2) and (1, -2)
To determine if a given set of points will not form a rhombus, we need to check if the distances between the points satisfy the properties of a rhombus.
A rhombus is a quadrilateral with four equal sides. Therefore, all the sides of a rhombus must have the same length. In other words, we need to calculate the distances between each pair of points and see if they are equal.
Let's calculate the distances between the given points:
A. (-2,-2) and (-6,-2)
The distance between these two points is 4 units.
B. (-2,-1) and (-6,-1)
The distance between these two points is also 4 units.
C. (0,-2) and (-8,-2)
The distance between these two points is 8 units.
D. (-9,-2) and (1, -2)
The distance between these two points is 10 units.
Since the distance between points M and O in options C and D is not equal, they will not form a rhombus. Therefore, the correct answer is:
D. (-9,-2) and (1, -2)