Coordinate Proofs

• Find the length of all 4 sides.

• Find the length of both diagonals.

• Find the slope of both diagonals

• Find the slope of all 4 sides.

• Find the slope of 2 sides.

• Find the slope of all 4 sides.

• Find the slope of the diagonals.

• Find the length of all 4 sides.

• Find the slope of all 4 sides.

• Find the midpoint of all 4 sides.

• Find the length of all 4 sides.

• Find the length of 2 sides.

• Find the slope of two consecutive sides.

• Find the slope of all 4 sides.

• Find the slope of the diagonals.

• Find the length of two consecutive sides.

Lamar is writing a coordinate proof to show that a segment from the midpoint of the hypotenuse of a right triangle to the opposite vertex forms two triangles with equal areas. He starts by assigning coordinates as given.
N is the midpoint of segment KL. Therefore, the coordinates of N are (a, ___)

• ab

• b

• 2a

• 4b

Complete the coordinate proof of the theorem.
Given: ABCD is a square.
Prove: The diagonals of ​ ABCD ​ are perpendicular.
The coordinates of square ABCD A(0, 0), B(____, 0), C(_____, a), and ​ D(0, a).

• 5 , 4

• a, a

• 1 , -1

• a, 1

A (0, ___)

T (___, ___)

• (0, 2a)

• (2a, 2a)

• (2a, y)

• (2a, 0)

Find the coordinates of the unlabeled vertices.

a

b

(0,0)

(h,0)

(___, ___)

• (4a, 0)

• (b, 0)

• (x, 0)

• (2a, 0)