Answer:
In a rhombus, the diagonals bisect at right angles. That means half the diagonals form a right angle triangle then we can try the Pythagorean theorem. so -
one side of triangle = 6/2 =3 (half of the diagonal)
other side = 8/2 = 4
a^2 + b^2 = c2
3 ^2 + 4^2 = c^2
9+16 = c^2
c^2=25
c = = 5
the hypothenus forms one side of the rhombus and here the hypothenus is 5, so the lenght of a side is 5 !
Answer:
Step-by-step explanation:
Given
Reflection over:
Required
Determine the coordinates of P'
From the given coordinates, the y coordinates of P is 6 and the line of reflection is at y = 2
Since we are to reflect over y = 2, only the y coordinate of P will be affected.
The idea behind reflecting a point over a line is to have an equal distance between [the original point & the line of reflection] and [the new point & the line of reflection]
So, what to do is:
First, calculate the difference between the y coordinates of P and the line of reflection.
The y coordinate of P is 6 and the line of reflection is at y = 2.
So, the difference is: 6 -2 = 4
Next, subtract the calculated difference from the line of reflection to get the y coordinate of P'
y coordinate of P' = 2 - 4 = -2
<em>Hence, the coordinate of P' is: (1,-2)</em>