Choose which postulate proves the triangles congruent. (please answer for all of them thanks in advance)

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  ASA, SAS, SSS, SAS, ASA

Step-by-step explanation:

In order of attachments, left to right:

1) ASA . . . . the bisected angles are on either end of the common segment. ∆ABC ≅ ∆ADC

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2) SAS . . . . the vertical angle lies between the sides congruent by virtue of the midpoint being X. ∆RSX ≅ ∆PQX

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3) SSS . . . . two sides and the shared segment are congruent. ∆KLM ≅ ∆KGM

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4) SAS . . . . the parts of the bisected angle lie between the congruent sides and the common side. ∆WXZ ≅ ∆YXZ

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5) ASA . . . . the common segment lies between parts of a bisected angle and ones that are given as congruent. ∆PQR ≅ ∆SQR

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.

it has the same slope and a different y-intercept

hope this : )