When you reflect a diagonal over a line of symmetry, the diagonal will land perfectly on the other diagonal (and vice versa). This suggests that one diagonal is a mirror copy of the other.
Another way to put it: The vertex points of the rectangle will swap when we reflect over a line of symmetry. A diagonal is simply the opposite vertex points joined together. So this is why the diagonals swap places (because the vertices line up perfectly when you apply the reflection).
Answer:x^3+13x^2+3
Step-by-step explanation:
(2x^3+11x^2+5)-(x^3-2x^2+2)
Clearing brackets
2x^3+11x^2+5-x^3+2x^2-2
Collect like terms
2x^3-x^3+11x^2+2x^2+5-2
x^3+13x^2+3
To compare fractions, we need to have the same denominator
The least common multiple is
16
to change

, we should multiply the numerator and denominator by
4

=


<

so basically,

is greater than

which means

is greater

is greater
Smaller leg = x
longer leg = y
hypotenuse = z
y=x+7
z=x+8
due to

but x cannot be -3
so smaller leg is 5 inches
then longer leg = 5+7 = 12 inches
and hypotenuse = 5+8 = 13 inches
Okay so the relationship between points K and K' is that you subtract 4 from the x values and you add 6 to the y values.
1 - 4 = - 3
L ( - 3 , 3 ) ==> L' ( - 3 - 4 , 3 + 6 ) ==> L' ( - 7 , 9 )
The only answer option with L' as such is answer choice B.
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I hope that helps you out!!
Any more questions, please feel free to ask me and I will gladly help you out!!
~Zoey