What are the possible coordinates for the fourth vertex of the parallelogram?

As in the previous problem there are three possible points that could be the fourth vertex of this parallelogram. The possible fourth vertices are (6,4), (6,-2), and (-2,-2).

What is Vertex in parallelogram?

Parallelogram (Coordinate Geometry) A quadrilateral with both pairs of opposite sides parallel and congruent, and whose location on the coordinate plane is determined by the coordinates of the four vertices (corners). Each of the four vertices (corners) have known coordinates.

How do you find the coordinate of a parallelogram?

Step 1: Find the slope of the two line segments connecting the two pairs of vertices from the given figure. Step 2: Since the opposite sides of the parallelogram are parallel to each other, their slopes are the same. Equate the slopes of the opposite lines with (x,y) as the coordinates of the missing vertex.

What are the coordinates of the fourth vertex of a parallelogram?

Let the coordinates of fourth vertex be D (x, y) In a parallelogram, diagonals bisect each other. Hence midpoint of BD = midpoint of AC. Midpoint of line segment joining the points and is. 4 + x = 7 and. and 3 + y = 8. and y = 5. Therefore, the fourth vertex, D is (3, 5).

How do you find the midpoint of a parallelogram?

Given three of vertices of a parallelogram are A (1,2), B (4,3), C (6,6). Let the coordinates of fourth vertex be D (x, y) In a parallelogram, diagonals bisect each other. Hence midpoint of BD = midpoint of AC

Do the diagonals of the parallelogram bisect each other?

Diagonals of the parallelogram bisect each other. Therefore mid-point of AC and BD will coincide ie mid-point will be same. ABCD is a parallelogram whose vertices A and B have coordinates (2,-3) and (-2,1) respectively. The diagonals of the parallelogram meet at the origin O. How to find the perimeter of the parallelogram?

What are the three vertices of a parallelogram ABCD?

This is an indetermined problem because there are generally 3 possible ways to form a parallelogram. Financial loophole lets you save extra for retirement. The average account holder who uses this as an investment option has a balance of $15,092. Three vertices of parallelogram ABCD are (3,-1,2) B (1,2,-4) and (-1,1,2).