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7nadin3 [17]
3 years ago
7

What is the equation for the line of reflection? On a coordinate plane, triangle A B C has points (6, 3.7), (5.4, 2), (1, 3). Tr

iangle A prime B prime C prime has points (3.7, 6), (2, 5.4), (3, 1). x = 3 y = 3 y = x x = 6
Mathematics
2 answers:
elixir [45]3 years ago
4 0

Answer:

The equation for the line of reflection will be x = y.

Step-by-step explanation:

On a coordinate plane, triangle Δ ABC has points (6, 3.7), (5.4, 2), (1, 3). Triangle Δ A'B'C' has points (3.7, 6), (2, 5.4), (3, 1).

And we have to find the equation of the line of reflection of the points.

Now, it is clear from the coordinates of vertices of Δ ABC and Δ A'B'C' that after reflection the x and y-values of the respective coordinates interchange and there is no change in signs.

Therefore, the equation for the line of reflection will be x = y. (Answer)

Galina-37 [17]3 years ago
3 0

Answer:

x=y or y=x

Step-by-step explanation:

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STEP-BY-STEP EXPLANATION:

First, we will establish that the shape of the window is a semi-circle. This means we must use the formula for the perimeter of a semi-circle to obtain the perimeter of the window.

The formula for the perimeter of a semi-circle is as follows:

Let perimeter of window or semi-circle = P

P = [ 2( Pi )r / 2 ] + 2r

Where r = radius of circle or semi-circle

From this, we will simply use the value of the radius given from the diagram in the problem and substitute it into the formula to obtain the perimeter of the window.

P = [ 2( Pi )r / 2 ] + 2r

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THEREFORE:

P = [ 2( Pi )( 20 ) / 2 ] + 2( 20 )

P = 20( Pi ) + 40

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P = 102.8cm^2 ( to the nearest tenth )

FINAL ANSWER:

Therefore, the perimeter of the window is 102.8cm^2 ( to the nearest tenth ).

Hope this helps! :)
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