Distance Formula

The vertices of a quadrilateral are $\left(0,0\right),\left(-7,0\right),\left(-7,-4\right)$ and $\left(0,-4\right)$. Identify the quadrilateral

Show that joining the successive points $\left(2,1\right),\left(7,1\right),\left(7,6\right),\left(2,6\right)$ produces a square

Show that joining the successive joining of the points $\left(-2,-1\right),\left(-1,4\right),\left(4,5\right)$ and $\left(3,0\right)$ produce a rhombus

The vertices of a quadrilateral are $\left(3,4\right),\left(3,14\right),\left(9,12\right),\left(9,22\right)$. Identify the quadrilateral.

Check the given vertices are of a kite $(6,8), (9,11), \left(0, 8\right)$  and $(12,8)$.

Is these $(2, 0), (3, 2), (4, 0), and (3,-3)$ are vertices of the kite.

Determine whether the points $(6,8) (9,11), \left(4, 2\right)$, and $(12,8)$ are the vertices of a kite

Determine whether the points $A\left(-2, -4\right), B(3, -1), C(4, 2)$, and $D(1, 1)$ are the vertices of a kite

The quadrilateral whose vertices are $\left(1,3\right), \left(5,6\right)$, $\left(1,10\right)$ and $\left(5,13\right)$ is a _____

Find the sides of a rhombus whose diagonals are of length $8 cm$ and $6 cm$.

Find the fourth vertex of a rhombus formed by $(2,-1),(3,4)$ and $(-2,3)$

Find the fourth vertex of the rhombus formed by $(-1,-1),(6,1)$ and $(8, 8)$.

Is the four points, $(5,8),(7,5),(3,5)$ and $(5,2)$ are the vertices of a rhombus.

Show that the Points $(-3, 2), (-5,-5), (2, -3)$ and$\left(4, 4\right)$ are the Vertices of a Rhombus.

The fourth vertex of the square whose consecutive vertices are $(2, 1), (4, 3), (-2, 5)$ is

The coordinates for three vertices of a square are given. Find the coordinates of the fourth vertex. $A(3, 5), B(1, 3)$ and $C(-1, 5)$.

Show that the points $A(3, 5), B(6, 0), C(1,-3)$ and $D(-2, 2)$ are the vertices of a square $ABCD.$

Show that the points $A(1,2),B(5,4),C(3,8)$ and $D(-1,6)$are the vertices of a square.

The vertices of quadrilateral $ABCD$ are $A (-5,-2) B (-3,-6) , C (5,-2)$ and $D\left(3, 2\right)$. Is the quadrilateral rectangle?

Show that the points $(3,-1),(-5,8), (5,4)$, and $(-7,3)$ are the vertices of a rectangle.