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Snowcat [4.5K]
2 years ago
6

Graph the image of △UVW after a reflection over the line y=-x

Mathematics
2 answers:
ArbitrLikvidat [17]2 years ago
7 0

Answer:

Step-by-step explanation:

Rule: (x, y) → (-y, -x)

This means that the x, will now become y, and the y will now become x.

U (-7, -4) → (4, 7)

V (1, -4) → (4, -1)

W (-5, -9) → (9, 5)

U' (4, 7)

V' (4, -1)

W' (9, 5)

*View the attached graph*

  • Yellow is the original figure
  • Purple is the figure after a reflection over the line y=-x

Hope this helps!

aliya0001 [1]2 years ago
4 0

Answer:

9514 1404 393

see attached

Step-by-step explanation:

Reflection over the line x = -1 alters the x-coordinates, but leaves the y-coordinates alone. The image point is as far horizontally from the reflection line as the pre-image point is. Each new x-coordinate is the old one subtracted from twice the x-value of the line of reflection: (x, y) ⇒ (-2-x, y) U(-8, -6) ⇒ U'(6, -6) V(-3, -6) ⇒ V'(1, -6) W(-4, -1) ⇒ W'(2, -1)

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Let's work to solve this system of equations:

y = 2x ~~~~~~~~\gray{\text{Equation 1}}y=2x        Equation 1

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​    

=24

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Equation 2

Substitute 2x for y

​  

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​    

Equation 1

Substitute 8 for x

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Sweet! So the solution to the system of equations is (\blueD8, \greenD{16})(8,16). It's always a good idea to check the solution back in the original equations just to be sure.

Let's check the first equation:

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2(8)

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Let's check the second equation:

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​    

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=

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​  

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