Answer:
AB = 3.605
CD = 4.123
EF = 3.605
GH = 4.472
JK = 4.123
Step-by-step explanation:
Distance between two points = √( (x₂ - x₁)² + (y₂ - y₁)² )
A(-5, 3), B(-2, 1)
= √( (-2 - (-5))² + (1 - 3)² )
= √( 3² + (-2)² )
= √( 9 + 4 )
= [tex]\sqrt{13}[/tex] = 3.605
C(-2, 5), D(-1, 1)
= √( (-1 - (-2))² + (1 - 5)² )
= √( 1² + (-4)² )
= √( 1 + 16 )
= [tex]\sqrt{17}[/tex] = 4.123
E(-4, -3), F(-1, -1)
= √( (-1 - (-4))² + (-1 - (-3))² )
= √( 3² + 2² )
= √( 9 + 4 )
= [tex]\sqrt{13}[/tex] = 3.605
G(0, 2), H(4, 4)
= √( (4 - 0)² + (4 - 2)² )
= √( 4² + 2² )
= √( 16 + 4 )
= [tex]\sqrt{20}[/tex] = 4.472
J(2, -1), K(3, -5)
= √( (3 - 2)² + (-5 - (-1))² )
= √( 1² + (-4)² )
= √( 1 + 16 )
= [tex]\sqrt{17}[/tex] = 4.123
