What transformation is represented by the rule (x, y)→(−x, −y) ?

Mathematics

2 answers:

Ray Of Light [21]3 years ago

8 0

Answer:

Rotation of 180° about the origin.

Step-by-step explanation:

Given : (x, y)→(−x, −y).

To find : What transformation is represented by the rule.

Solution : We have given that (x, y)→(−x, −y).

By the Rotation rule of 180° about origin is (x, y) → (−x, −y).

Coordinates of x change in to -x and coordinates of y change in to -y .

Example : is f(x) = ( 2 ,3) if we rotate it 180° about origin then f(x) = (-2,-3).

Therefore, rotation of 180° about the origin.

postnew [5]3 years ago

5 0

<span>rotation of 180° about the origin is correct. Changing the signs of both x and y rotates 180 degrees.
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3 years ago

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Gwar [14]

Answer:

$\displaystyle 36\:units$

Step-by-step explanation:

Split up this Isosceles, Right Triangle into two congruent smaller right triangles. The reflexive side [the line that splits them apart] is 6 units, and both legs are 8 units, leaving the hypotenuses to AUTOMATICALLY be 10 units, according to the Pythagorean Theorem:

$\displaystyle a^2 + b^2 = c^2 \\ \\ 6^2 + 8^2 = 10^2 \\ \\ 36 + 64 = 100 \\ \\ 100 = 100$