Given three collinear points X, Y, and Z and XY=8 and YZ=20, what is the length of a segment joining the midpoint XY and YZ?

  1. 👍 0
  2. 👎 0
  3. 👁 168
  1. Draw line segment XZ and let X = 0, the
    starting point.

    Xy = Y - 0 = 8,
    Y = 8.

    M1 = (8-0) / 2 = 4 = Mid-point of XY.

    YZ = Z - Y = 20,
    Z - 8 = 20,
    Z = 28.

    M2 - Y = 20 / 2 = 10,
    M2 - 8 = 10,
    M2 = 18.

    Segment M1M2 = M2 - M1 = 18 - 4 = 14.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Rewrite the following definition as a biconditional: Points that lie on the same line are collinear. A.) If a point lies on a line, then it is collinear. B.) If a point lies on a line with another point, then the two points are

  2. Geometry

    Which statement is not used to prove that ΔFGH is similar to ΔFIJ? triangles FGH and FIJ in which point I is between points F and G on segment FG and point J is between points F and H on segment FH Angle F is congruent to

  3. math

    Points​ P, Q,​ R, and S are collinear. Point Q is between P and​ R, R is between Q and​ S, and PQ overbar congruent RS overbar. If PSequals30 and PRequals23​, what is the value of​ QR

  4. Math

    Two collinear points are given in the table, give a third point that is also on this line x 0 4. It is written vertically on a graph, the other side states y 0 -3. I do not understand how to find the third point for each problem.

  1. Maths

    the points A,B,C and D lie on a straight line. The ratio of the length of AB to the length of BC is 3:4 and the ratio of the length of AC to the length of CD is 2:1. Find the ratio of the length of BC to the length of AD ?

  2. geometry

    Trisha drew a pair of line segments starting from a vertex. Which of these statements best compares the pair of line segments with the vertex? Answer A:Line segments have two endpoints and a vertex is a common endpoint where two

  3. geometry

    P, Q, and S are collinear and the measure of PQR = 120°. What does the measure of SQT have to equal to ensure that R, Q, and T are collinear?

  4. math

    For what value of 'k' the points ( -k + 1, 2k), (k, 2 - 2k) and ( - 4 - k, 6 - 2k) are collinear.

  1. geometry

    In four non collinear points , how many line segments can be drawn?

  2. Trigonometry

    1. A, B and C are collinear, and B is between A and C. The ratio of AB to AC is 3:4. If A is at (-8,1) and B is at (-2,-2), what are the coordinates of C? 2. The segment joining (1,-3) and (4,-6) is extended a distance equal to

  3. geometry

    Points A, B, and C are collinear with B between A and C. Points M and N are the midpoints of segments AB and AC , respectively. Prove that BC = 2MN.

  4. mathematics

    Ten points are marked on one side of △ABC. Another side of △ABC has 11 marked points and the third side has 12 marked points. None of the points are a vertex of the triangle. If any three non-collinear points can be the

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