Question

2 questions please need help ASAP:
1.http://prntscr.com/lskdtp
2.http://prntscr.com/lske2d

Answer 1

@AP

Answer 2

@dude

Answer 3

4 top left: the three altitudes of a triangle intersect at the orthocenter
4 top right: the three medians of a triangle intersect at the centroid
4 bottom left: the three perpendicular bisectors of a triangle intersect at the circumcenter
4 bottom right: the three angle bisectors of a triangle intersect at the incenter

Answer 4

2.)
EG and BC are parallel in that they both share a slope of -1/3

EG is 1/2 of BC because:
• Point B is at (4,-2) and point C is at (-5,1)
• The distance from point B to point C is as follows:
\[d=\sqrt{(x _{2}-x _{1})^2+(y _{2}-y_{1})^2}\]
\[d=\sqrt{(-5 - 4)^2 + (1-(-2))^2}\]
\[d=\sqrt{(-9)^2+(1)^2}\]
\[d=\sqrt{81+1}\]
\[d=\sqrt{82}\]
\[d=9.05538513814 ~units\]
• The distance from point E to point G should be 1/2 of the distance from point B to point C (in other words, 1/2 of 9.05538513814 units)
• Point E is at (-2, 3) and point G is at (2.5, 1.5)
• The distance from point E to point G is as follows:
\[d=\sqrt{(x _{2}-x _{1})^2+(y _{2}-y_{1})^2}\]
\[d=\sqrt{(2.5 - (-2))^2+(1.5-3)^2}\]
\[d=\sqrt{(4.5)^2+(-1.5)^2}\]
\[d=\sqrt{(20.25 + 2.25)}\]
\[d=\sqrt{22.5}\]
\[d=4.74341649025\]
• 1/2 of 9.05538513814 is 4.74341649025
• Therefore, EG is 1/2 of BC.