Answer:
3x-y=1 is in the form Ax+By=c
where A=3, B=-1, C=1
Step-by-step explanation:
we have to convert the equation y-5=3(x-2) to the form Ax + By = C.
the equation y-5=3(x-2) is in the form
which is the point slope form of a straight line in cartesian coordinate.
where m is the slope of the line and is the point through which the line is passing through.
therefore y-5=3(x-2) becomes y-5 = 3x-6
y-5+6=3x
y+1=3x
3x-y=1
this equation is in the form Ax+By=c
therefore comparing these two equations we get
A=3, B=-1, C=1
The vertex where the two triangles touch forms a pair of vertical angles, so that the angles on opposites sides of the vertex are congruent. You're shown that two legs of both triangles are congruent. All this tells you that the two triangles are isosceles, and furthermore that they are similar because of the congruence of their "base" angles.
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