Match the reasons with the statements in the proof. given: j | | k m 1 = m 3 prove: l | | m

By the corresponding angle theorem : The corresponding angles made by a same transversal on two parallel lines are equal in measure.

By the converse of alternate angles : When alternative angles in two lines by same transversal are equal then these lines are parallel to each other,

Now, given,

j ║ k

m∠1 = m∠3

Prove:  l ║ m,

Thus, the column proof would be,

    Statement                       Reason

1. j ║k, m∠1 = m∠3            Given

2. m∠1 = m∠2                    If lines are ║, then corresponding angles are =

3. m∠2 = m∠3                   Substitution

4.  l ║ m                             If alternative angles are =, then lines are ║

please see image attached. Let me know if you have questions.

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)