Special Segments in Triangles
A median of a triangle connects a vertex to the midpoint of the
opposite side.
M
C
An altitude of a triangle is a segment drawn from a vertex perpendicular to
the opposite side (or an extension of it).
N
N
P
N
Refer to the diagrams. Find the answers in the decoder
1. LK is an
2. MP is a
3. The median from L is segment_
4. PQ is a
5. The median from N is segment
6. If OP=10 then segment
c
LO
M
M
A midline of a triangle connects two midpoints of two sides and is parallel
to the third side. Its length is also half the length of the third side.
M
C
L, M, N are midpoints
of PQ, PR, and QR
M
5
8Z₂
3
N
1
11
2
R
10 15 20 25 30 median midline altitude PQ PR MN LQ ON right isosceles
D
G
E F
H
I
L
N
A
O R W
Y
Z
7
or
9
14
4
O
12
1
R
= 20. M
7. The altitude from P is segment.
8. If PL 10, then the length of LQ is.
9. If PQ=30, then the length of MN is
10. If PM = 20, then the length of LN is
11. Segment LN is half the length of segment
12. APQR is a
13. If LM 15, then the length of QR is
14. If the perimeter of APQR = 50 units, the
perimeter of ALMN would be
.
9
L
13
MN II PQ
MN=PQ
8
1
O, P, Q are midpoints
of ML, LN, and MN
2
14
B
7 10
N
triangle.
units.