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You can write ordered pairs as ratios to determine if two sets of ordered pairs form a linear or non-linear relationship. In a table of x,y values, the ordered pairs are listed as the x value first, then the corresponding y value. Remove from the table and write as a ratio of x over y, (or y over x, if you like). In a linear relationship, all the ratios of x over y, (or y over x) are equivalent.

Q: How are ordered pairs and ratios similar?

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The Ordered Pairs are 1x20, 2x10, and 5x4.

Corresponding angles are equal.The ratios of pairs of corresponding sides must all be equal.

-1 is a one-dimensional entity. It can have no equivalent in ordered pairs.

Y is the second number in a set of ordered pairs.

There are no ratios that can be used for triangles that are not similar.

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No. In similar triangles, the ratios of the 3 pairs of corresponding sides are always equal.

The Ordered Pairs are 1x20, 2x10, and 5x4.

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Corresponding angles are equal.The ratios of pairs of corresponding sides must all be equal.

It is not possible to answer the question with no information about which ordered pairs!

-1 is a one-dimensional entity. It can have no equivalent in ordered pairs.

Y is the second number in a set of ordered pairs.

Ordered pairs that have a negative x and a positive y are in the second quadrant.

There are no ratios that can be used for triangles that are not similar.

Ordered pairs are used for many things. Anytime you graph a point on a cartesian coordinate system, you have an ordered pair. In fact, all of R^2 is made up of ordered pairs. When you put a value in a function and get one out, you have an ordered pair

there are none, ordered pairs come from equations like x = 2y -5

If a set of ordered pairs is not a relation, the set can still be a function.