Which of the following correctly justifies statement 4 of the two-column proof?
given: line jk is parallel to line lm
prove: ∠1 ≅ ∠8

see below.

step-by-step explanation:

the true answer is none of them.

the answer the problem thinks is correct is a. transitive property of equality.

this problem is incorrectly formulated.

in equality, if a = b, and b = c, then a = c by the transitive property of equality.

there is no such property for congruence.

for congruence, there is a theorem that states:

congruence of angles is transitive.

this is a theorem that can be proved.

the true reason for statement 4 is the theorem: congruence of angles is transitive.

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)