# geometry

Line segment
AB
with the length ais divided by points P and Q into three line segments:
AP
,
PQ
, and
QB
, such that AP = 2PQ = 2QB. Find: (1) The distance between point A and the midpoint of segment
QB
; (2) The distance between the midpoints of the segments
AP
and
QB
.

1. 👍 0
2. 👎 0
3. 👁 79
1. Let the length of PQ = x
Then AP = QB = 2x
So, the midpoints of AP and QB divide AP into five equal segments.
Now you should be able to answer the questions easily.
I assume you have drawn the diagram ...

1. 👍 0
2. 👎 1

## Similar Questions

1. ### maths

the line passes through the points s(6,6) and T(0,-2) determine the gradient of the line the equation of the line the midpoint of the line segment,TS the length of the line segment,TS

asked by shanise on February 23, 2014
2. ### Geometry

Points X and Z are on a number line, and point Y partitions line XZ into two parts so that the ratio of the length of line segment XY to the length of line segment YZ is 3:5. The coordinate of X is 0.4, and the coordinate of Y is

asked by Crystal on September 23, 2019
3. ### co-ordinate

The end points of a line segment AB are A(a,b) and B(b,a), where a and b both are positive . In which ratio the line segment AB is divided by axes?

asked by Aman.G on February 1, 2018
4. ### Math

We are learning about proofs. We drew lines between noncollinear points. Our table showed 2 points >> 1 line segment, 3 point >> 3 line segments, 4 points >> 6 line segments, 5 points >> 10 line seg, 6 points >> 15 line seg. etc.

asked by Anon on April 12, 2014
5. ### geometry

We are learning about proofs. We drew lines between noncollinear points. Our table showed 2 points >> 1 line segment, 3 point >> 3 line segments, 4 points >> 6 line segments, 5 points >> 10 line seg, 6 points >> 15 line seg. etc.

asked by Zack on October 8, 2008
6. ### Geometry

Prove that the tangents to a circle at the endpoints of a diameter are parallel. State what is given, what is to be proved, and your plan of proof. Then write a two-column proof. Hint draw a DIAGRAM with the points labeled. Can

asked by DANIELLE on July 5, 2007
7. ### Algebra

A segment bisector is a line, ray, or segment that divides a line segment into two equal parts. In the triangle formed by points A(-1,7), B(1,2), and C(7,6), what is the slope of the line that goes through point A and bisects BC?

asked by Vaililly on July 24, 2019
8. ### maths

points A,B,C and D lie on a straight line in the given order. AC=25cm and BD=46cm. the ratio of length CD to length AB is 5/2. find the length of line segment BC in cm.

asked by Anonymous on February 9, 2013
9. ### Geometry

I have another question that stumped me Line segment AB with length a is divided by points P and Q into three line segments: AP , PQ, and QB , such that AP = 2PQ=2QB. Find: A)the distance between point A and the midpoints of the

asked by Ava on September 24, 2016
10. ### GEOMETRY /PROP.

if line segment AC=120ft and the ratio of line AB:BC =3/5 - what is the length of line AB ? I set up the problem up as X:120 & 3:5 3x120= 360 and divided 5 into 360 = 72ft but the answer in the book is 45ft help!

asked by Rose on October 15, 2008

More Similar Questions