Analytic Geometry Answers

2. The coordinates of the vertices of ΔARC are A(3,3), R(1,-1), and C(-2,1). Angela is trying to determine whether this shape is a right triangle or not. She has made a mistake in the work below the graph. Explain the mistake and show the correct solution.

Hint: The grid is provided for your use (optional). The graph is not worth any points and will not be considered when graded.

Hint: When explaining the mistake, make sure you identify how it is wrong AND how it needs to be corrected.

(12 points total)

 Angela’s solution: 

slope of AR = 

slope of RC = 

slope of AC = 

Since AR and RC are opposite reciprocal slopes, those two sides are perpendicular, and the triangle is a right triangle.

Answer:

The coordinates of the vertices of a triangle are A( x1, y1), B( x2, y2), and C( x3, y3)

Then Find the equations of the altitudes of the triangle.and the co ordinates of the point of intersection of altitudes (Orthocentre).

Find the value of k if the line joining (4,k) and (6,8) and the line joining (-1,4) & (0,8) are parallel and perpendicular.