math

One diagonal of a rhombus has endpoints (-6, 9) and (-2, 1). What are the endpoints of the other diagonal?

  1. 👍 0
  2. 👎 0
  3. 👁 501
  1. the diagonals are perpendicular and bisect each other.

    midpoint of the given diagonal is (-4,5), so the other diagonal goes through there.

    slope of given diagonal is -8/4 = -2, so the slope of the other diagonal is 1/2.

    the sides of a rhombus are all equal, so we need to find (h,k) such that it lies on the line through (-4,5) with slope = 1/2, and the distances from (h,k) to the two given endpoints are the same.

    However, that doesn't help much. All points lying on the perpendicular bisector of the given diagonal are equidistant from the diagonal's endpoints!

    A rhombus can be anything between a square and a squashed-flat line-like narrow thingy. All we know is that the sides are all the same length.

    Without knowledge of the side length, area, or the angle between sides, or something, we are stuck here.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Geometry

    1.) what is the length of the line segment whose endpoints are (1,1) and (3,-3)? 2.) what are the coordinates of the midpoint of the line segment whose endpoints are (c,0) and (0,d)?

    asked by Taylor on February 19, 2012
  2. Geometry

    The endpoints of one diagonal of a rhombus are (0, -8) and (8, -4). If the coordinates of the 3rd vertex are (1, 0), what are the coordinates of the 4th vertex? (7, -12) (7, -8) (-8, -4) (-4, -12)

    asked by debbie on January 17, 2012
  3. Calculus

    Approximate the area under the curve of f(x)=9-x^2 between x=-2 and x=3 by calculating the area of 5 rectangles for both left hand endpoints and right hand endpoints. I have the left hand and right hand endpoints, what I need help

    asked by Mike on December 3, 2017
  4. geometry

    the lengths of the diagonal of a rhombus are 2 in and 5 in. find the measure of the angles of the rhombus to the nearest degree. if it helps, we are learning how to use tangent right now!

    asked by Lily on February 14, 2011
  5. Geometry

    1.) what is the length of the line segment whose endpoints are (1,1) and (3,-3)? 2.) what are the coordinates of the midpoint of the line segment whose endpoints are (c,0) and (0,d)? 3.) The diagonals of a rhombus have lengths of

    asked by Taylor on February 19, 2012
  1. calculas

    Use left and right endpoints and the given number of rectangles to find two approximations of the area of the region between the graph of the function and the x-axis over the given interval. (Round your answers to four decimal

    asked by Sam on May 7, 2016
  2. geometry

    Which of these is a correct step in constructing congruent line segments? a) use a straightedge to draw two equal arcs from the endpoints. b) use a compass to join the endpoints of the line segment. c) use a straightedge to

    asked by Ana on October 5, 2015
  3. geometry

    the endpoints of AB are A(9,4) and B(5,-4) the endpoints of its image after a dilation are A1(6,3) and B1(3,-3) explain how to find the scale factor. Is there someone that can help me with this problem and explain foe me?

    asked by Brandon on March 7, 2012
  4. Circle geometry

    The endpoints of the arms of an inscribed angle are the endpoints of a diameter. What is the measure of the inscribed angle? How do you know? Please help and please explain how I would draw a diagram of thus. Think you for your

    asked by Cherie on April 23, 2014
  5. Math

    One side of a parallelogram has endpoints (3, 3) and (1, 7). What are the endpoints for the side opposite? (8, 1) and (6, 7) (6, 1) and (2, 3) (6, 1) and (8, 5) (8, 1) and (6, 5)

    asked by Callie on January 19, 2012
  6. Math

    The larger angles of a rhombus are twice the smaller angle of the rhombus. If the shorter diagonal is 20, find the perimeter of the rhombus.

    asked by Xinyi panggg on December 13, 2013

You can view more similar questions or ask a new question.