Make a two-column proof showing statements and reasons to prove that triangle abd is similar to triangle acb.

I'm not exactly sure on how to do the two-column proof but here is my take in proving that triangle abd is similar to triangle acb.1) angle abc  ≈ angle bcd : given2) ab/bd  ≈ bc/cd : angle bisector theorem3) angle abc  ≈ angle bcd ; side bd is shared by both triangles : angle side angle theorem.

  to prove that two triangles are similar, it suffices to prove that all of their angles are equal. this means 3 equalities in our case.statement 1 abd=acbreason 1 givenstatement 2 cab=badreason 2 they are the same angle since they are defined by the same linesstatement 3 adb=abcreason 3 all angles of any triangle add to 180; so if two angles of a triangle are equal, so is the 3rd.this concludes our proof that triangles abd and acb are equal (the vertices have to match equal angles; a corresponds to a, d to b etc.)

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c