Geometry HW
Midpoint and Distance Formula
Find the length of the segment.
1.
2.
3.
d = ______________________
.
d = ______________________
d = ______________________
The endpoints of two segments are given. Find each segment length. Tell whether the segments are congruent.
4. KL :
K (–4, 13), L (–1, –11)
MN : M (–1, –2), N (–1, –11)
KL =_________ MN = ___________ YES OR NO
5. OP : O (6, –2), P (3, –2)
QR : Q (5, 2), R (1, 5)
OP =_________ QR = ___________ YES OR NO
6. The locations of the towns on the map are: Dunkirk (0,0), Clearfield (10, 2), Lake City (5, 7), and
Allentown (1,4). The coordinates are given in miles.
The map is being used to plan a 26-mile marathon. Which of
the following plans is the best route for the marathon?
A. Dunkirk to Clearfield to Allentown to Dunkirk
B. Dunkirk to Clearfield to Lake City to Allentown to
Dunkirk
C. Dunkirk to Lake City to Clearfield to Dunkirk
D. Dunkirk to Lake City to Allentown to Dunkirk
Find the coordinates of the midpoint of the segment with the given endpoints.
7. S (4, –1) and T (6, 0)
8.
L (4,2) and P (0, 2)
9. A(6, 3) and B(10, 5)
Use the given endpoint R and midpoint M of RS to find the coordinates of the other endpoints.
10. R (3,4), M (3, –2)
11. R(8, 0), M(4, 5)
12. R(7, 17), M(2, 3)