Answer:
△ABC and △DEF are similar by SAS Similarity Theorem.
Option (C) is correct .
Step-by-step explanation:
Definition of SAS Similarity property
Two triangles are said to be similar by SAS Similarity property If two sides are proportional and one corresponding angle congruent .
In △ABC and △DEF
and
Thus
∠ABC = ∠DEF (As given in the figure )
Thus △ABC and △DEF are similar by SAS Similarity property .
Answer:
Step-by-step explanation:
1) First, find the slope of the line. Use the slope formula to find the slope. Substitute the x and y values of the given points into the formula and solve:
So, the slope is .
2) Use the point-slope formula to write the equation of the line in point-slope form. Substitute values for
,
, and
into the formula.
Since represents the slope, substitute
in its place. Since
and
represent the x and y values of one point on the line, choose any one of the given points (it doesn't matter which one) and substitute the x and y values of it into the formula. (I chose (1,-4), as seen below). This gives the equation of the line in point-slope form.