Choose the abbreviation of the postulate or theorem that supports the conclusion that the triangles are congruent.
given:
∠c, ∠f are rt. ∠'s; ac = df; ∠b = ∠e
hl
ll
ha
la

Name of postulate or theorem that supports the conclusion that the triangles are congruent is Angle-side-Angle (ASA).

Given information:

are right triangle,

From the figure,

are right angle triangle.

And

                { congruence rule}

Hence, Name of postulate or theorem that supports the conclusion that the triangles are congruent Angle-side-Angle.

Learn more about Congruency of triangle here:

link

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)