6-7 Polygons in the Coordinate Plane

Let $$T\left(1,1\right)$$ , $$V\left(9,2\right)$$ and $$S\left(5,8\right)$$ .

Is $$\Delta TVS$$ scalene, isosceles, or equilateral?

Draw a quadrilateral with vertices $$\left(5,3\right)$$ , $$\left(5,-1\right)$$ , $$\left(-1,3\right)$$ and $$\left(-1,-1\right)$$ .

What special quadrilateral is formed by connecting the MIDPOINTS of the sides?

For A(–3, 2), B(0, 7), and C(0, 2), find all locations of a fourth point, D, so that ABCD is a parallelogram.

Calculate the slopes of the diagonals then choose the right answer.

In a rhombus the product of the slopes of the diagonals equals:

In this parallelogram, the slopes of the diagonals are $$\frac{3}{2}$$ and $$-\frac{2}{3}$$ .

Is it a rhombus?

In the coordinate plane, $$J\left(2,3\right)$$ , $$K\left(10,4\right)$$ and $$L\left(6,10\right)$$ .

What is the best classification of $$\triangle JKL$$ ?

In the coordinate plane, A(–5, 0), B(2, –6), C(8, 1), and D(1, 7). Then ABCD is a rectangle because :