Question
Points
, and
are on a line such that
is
between
and
, and
is between
and
. The
distance from
to
is 6 units. The distance from
to
is twice the distance from
to
, and the
distance from
to
is twice the distance from
to
. What is the distance, in units, from the midpoint
of
to the midpoint of
?
between
distance from
to
distance from
of
Ask by Clark Love. in the United States
Feb 14,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The distance from the midpoint of segment BC to the midpoint of segment CD is 18 units.
Solution

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Mind Expander
To solve the problem, we need to determine the positions of points
,
,
, and
on the line based on the given distances.
-
The distance from
to is given as 6 units:Thus, if we set at position 0, then is at position 6. -
The distance from
to is twice the distance from to :Therefore, is at position: -
The distance from
to is twice the distance from to :Thus, is at position:
Now, we find the midpoints of
and
.
- The midpoint of
:
- The midpoint of
:
Finally, we find the distance from the midpoint of
to the midpoint of
:
Thus, the distance from the midpoint of
to the midpoint of
is
units.