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2 years ago

Rotation by 360 degrees about the origin maps P(x, y) to P’(-x, -y)true or false

Mathematics

1 answer:

bija089 [108]2 years ago

3 0

Answer:

We know that when a figure or point is rotated by 360° about the origin, it would return the figure or point to its original position.

Therefore, the statement that ''rotation by 360 degrees about the origin maps P(x, y) to P’(-x, -y)'' is FALSE.

Step-by-step explanation:

We know that when a figure or point is rotated by 360° about the origin, it would return the figure or point to its original position.

For example, if a point P(x, y) is rotated by 360° about the origin, it would return point P(x, y) to its original position.

i.e.

(x, y) → (x, y)

Therefore, the statement that ''rotation by 360 degrees about the origin maps P(x, y) to P’(-x, -y)'' is FALSE.

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If p and q are both true, then which of the following statements has the same truth-value as ~p → q?

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So, we're looking for an expression evaluating to true. Let's see what we have:

A) is an AND proposition. Logical AND is true only if both parts are true. So, you have

$\neg P \land \neg Q = F \land F = F$

So it's not the right option.

B) is an OR proposition. Logical OR is true whenever one of the two parts is true. So, you have

$\neg P \lor\neg Q = F \lor F = F$

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$P \land \neg Q = T \land F = F$

So this is not the right option.

D) Finally, the last one is again an implication, and again it starts with false:

$\neg Q \implies P = F \implies T = T$

So this is true, and thus is the correct option.

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2 years ago

Rotation by 360 degrees about the origin maps P(x, y) to P’(-x, -y)true or false​

Rotation by 360 degrees about the origin maps P(x, y) to P’(-x, -y)true or false