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Answer</h3>
They are being multiplied by 2 each time.
Answer:
2. congruent
3. congruent
Step-by-step explanation:
Segments will be congruent if their lengths are the same. Their lengths will be the same if the sum of squares of the x- and y-differences of their endpoint coordinates are the same.
2. B-A = (-4-(-4), 8-1) = (0, 7)
D-C = (5-(-2), -5-(-5)) = (7, 0)
The total of 0² and 7² is the same as the total of 7² and 0², so these segments are congruent. (They are both of length 7.)
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3. B-A = (2-4, 6-1) = (-2, 5)
D-C = (-4-(-2), -3-2) = (-2, -5)
The sum of (-2)² and 5² is the same as the sum of (-2)² and (-5)², so these segments are congruent. (They both are of length √29.)
First answer is 4 chances and second answer is 2 chances
see the attached figure to better understand the problem
Let
2L---------> lenght side of hexagon
we know that
in one of those triangles
sin 30=1/2
sin 30=L/hypotenuse
solve for L
L=hypotenuse*sin 30-------->L=( 1 8 √ 3 )*(1 /2)------> L=9√3 units
Find the perimeter
perimeter=(2L)*6--------> L*12-------> Perimeter=9√3*12--------->108√3 units
therefore
the answer is
the perimeter of the regular hexagon is 108√3 units
