How much to do the two assignments attached?
GSE GeometryName______________________ Notes on Partitioning a Segment in Two Dimensions Steps to find coordinate of partition: Label x1, y1, x2, y2, a and b. Plug values into formula Calculate each part separately State your answer as an ordered pair (x, y) Example: Find the coordinates of P along the directed line segment AB so that the ratio of AP to PB is 3 to 2. Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio. A(1, 3), B(8, 4); 4 to 1. 70 + 23 = Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio. A(-2, 1), B(4, 5); 3 to 7. = Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio. A(8, 0), B(3, -2); 1 to 4. equal for 20 - 20 = GSE GeometryName:___________________________ Coordinate Geometry Triangle ABC has vertices shown. Show that Triangle ABC is a right triangle B. Find the Perimeter of the triangle Find the Area of the triangle Quadrilateral ABCD has vertices A(–3, 0), B(3, 2), C(4, –1), and D(–2, –3). Prove that ABCD is a rectangle by proving one of the following: A Opposite sides are parallel and consecutive sides are perpendicular Opposite sides are congruent Diagonals are congruent 2. Quadrilateral ABCD is a Parallelogram. Find the Perimeter of the Parallelogram. (Hint: Find the length of the sides.) 2.2 line 3. Three of the points of parallelogram ABCD are A(-5,3), B(1,6), C(3,-4). Where must the fourth point D be plotted on the coordinate grid? (Hint: Use the slopes of the sides to help you.) Coordinates of D: ___1,1______ Justify your answer. 4. Triangle TRI has vertices T(–4, –1), R(7,5), and I(1, –6). Plot the points and prove that triangle TRI is isosceles. (Hint: An isosceles triangle has 2 congruent sides.) 3,3 5. Right Triangle DMSU has vertices with M(4, –1), S(5, 6) and U(1, 3). Plot the shape and find the area of the triangle. (Hint: Which two sides do you need to find for the base and the height.) 5,5