3) Use SAS to prove to prove these two triangles congruent.
a) slope \(\overline{AB}\) & slope\(\overline{AC}\) b) slope \(\overline{DE}\) & slope\(\overline{DF}\) c) \(m\angle A\) = d) \(m\angle D\) = e) What is the relationship between \(\angle A\) and \(\angle D\)? f) \(AB\) = g) \(DE\) = h) What is the relationship between \(\overline{AB}\) and \(\overline{DE}\)? i) \(AC\) = j) \(DF\) = k) What is the relationship between \(\overline{AC}\) and \(\overline{DF}\)? l) Why is \(\triangle BAC\cong\triangle EDF\)? |
Using the slope formula, slope \(\overline{VW}\) = ______________ and slope \(\overline{ZY}\)=_______________. This means that ______________________ because their slopes are ________________. Since these segments are parallel, \(\angle W\cong\)_________ because ______________________________. Also, \(\angle V\cong\)________________ because_____________________________________. Using the distance formula, \(VW\) = ____________ and \(ZY\) = ________________. Since they are the same length, _____________________. Therefore, \(\triangle VXW\cong\triangle ZXY\) by ___________________.
13) Given the graph:
a) Find \(AB\) b) Find \(AC\) c) What is the relationship between \(\overline{AB}\) and \(\overline{AC}\)? d) Justify point \(M\) is the midpoint of \(\overline{BC}\) e) Justify \(\triangle AMB\cong\triangle AMC\) with a triangle congruence theorem f) Give two reasons why \(\angle B\cong\angle C\) |