If trapezoid ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A' lie?
[Hint: Place your coordinates in the blank with no parentheses and a space after the comma in the form: x, y]

If Trapezoid ABCD Was Reflected Over The Y-axis, Reflected Over The X-axis, And Rotated 180, Where Would

Answers

Answer 1

the answer is 1, 1 because it returns back to its first position

Answer 2

Answer: coordinates x = 1, y = 1.


Explanation:


You can deduce the answer analytically by using these mathematical rules:


1. First transformation. Reflection over the y-axis means that the image will keep the same y-coordinate and negate the x-coordinate (the image will end in the left quadrant at the same height):

rule (x,y) → (- x, y)

          A(1,1) → A'(-1,1)

          B(2,2) → B'(-2,2)

          C(4,2) → C'(-4,2)

          D(5,1) → D'(-5,1)


2. Second transformation. The reflection over the x-axis tansforms the image by keeping the same x-coordinate and negating the y-coordinate, the image will end in the fhird quadrant right below the previous image:

rule (x,y) → (x, - y)

          A'(-1,1) → A''(-1,-1)

          B'(-2,2) → B''(-2,-2)

          C'(-4,2) → C''(-4,-2)

          D'(-5,1) → D''(-5,-1)


3. Third transformation. The rotation 180° (either counterclockwise or clockwise) negates both coordinates x and y:

rule (x,y) → (- x, - y)

          A''(-1,-1) → A'''(1,1) ← this is the answer

          B''(-2,-2) → B'''(2,2)

          C''(-4,-2) → C'''(4,2)

          D''(-5,-1) → D'''(5,1)

As you see the final images of every point correspond to same original point.



Related Questions

Your engine might be flooded if you smell what while driving

Answers

I think it's Carbon monoxide

Overfilling your tank increases the risk of liquid gas covering the vapour intake hole and entering the charcoal canister. The check engine light will illuminate as a result of this damage to the canister and possibly other components of the system, which might cost hundreds of dollars to fix.

What engine might be flooded if you smell while driving?

A flooded engine may have a gas-like odour that you can detect. Colour of the emission: Darker smoke may also indicate that your engine is flooded. Trouble starting: If the engine has too much fuel, your car may have trouble starting.

Furthermore, too much gas covers the spark plugs, preventing them from producing the spark required for combustion. If you try to start your car by pressing the gas pedal too frequently, engine flooding frequently results.

Therefore, Your engine might be flooded if you smell what while driving because it is carbon monoxide gas.

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Why is Pluto now called a dwarf planet?

Answers

Answer:

In 2003, astronomers discovered Eris.

The discovery of Eris caused astronomers to talk about the defining characteristics of a planet.

Because Pluto has not cleared its orbit, it is not considered to be a planet.

Pluto, Eris, and other objects like them are now classified as dwarf planets.

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Why is Pluto called a dwarf planet?

The reason why Pluto is classified and called a dwarf planet is simply because of its size and the fact that it's located within a zone (transneptunian region) of other celestial objects with its size.

Additionally, Pluto does not have a cleared orbit and as such, it is classified and called a dwarf planet alongside other celestial objects such as:

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