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Which polygon matches this set of ordered pairs?

S (1, 6), P (2, 7), Q (5, 7), R (7, 4)

A.
A graph on which quadrilateral PQRS is given. Numbers from 1 to 10 are given on x and y axis. The coordinates of PQRS are (7,7), (4,7), (2,7), (4,1).
B.
A graph on which quadrilateral PQRS is given. Numbers from 1 to 10 are given on x and y axis. The coordinates of PQRS are (2,7), (5,7), (7,4), (1,6).
C.
A graph on which quadrilateral PQRS is given. Numbers from 1 to 10 are given on x and y axis. The coordinates of PQRS are (2,7), (7,7), (7,4), (1,4).
D.
A graph on which a vertical rectangle PQRS is given. Numbers from 1 to 10 are given on x and y axis. The coordinates of PQRS are (7,2), (7,7), (4,7), (4,2).

User Cgf
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1 Answer

2 votes

Final answer:

The quadrilateral that matches the set of ordered pairs S (1, 6), P (2, 7), Q (5, 7), R (7, 4) is represented in Option B. The correct coordinates are plotted on a graph, forming the shape of the quadrilateral PQRS.

Step-by-step explanation:

To determine which polygon matches the set of ordered pairs (S (1, 6), P (2, 7), Q (5, 7), R (7, 4)), we need to look for the option where these coordinates are correctly plotted as the vertices of a quadrilateral.

By checking the options, we can see that Option B has the exact coordinates as given.

So, the correct answer is: Option B

A graph on which quadrilateral PQRS is given. Numbers from 1 to 10 are given on the x- and y-axis. The coordinates of PQRS are (2,7), (5,7), (7,4), (1,6).

This quadrilateral is formed by plotting the points on a graph and connecting them in the order given to form the shape.

User Katura
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7.6k points