Geo Important Lines in Triangles
Name _________________________
Construct the perpendicular bisector of side AB of each triangle.
1.
2.
3.
4.
For each triangle, construct the median from vertex A.
5.
6.
For each triangle, construct the median from vertex A.
7.
8.
The three altitudes of a triangle meet in a single point called the orthocenter of the triangle. Most
often only one altitude is needed. The altitude is used to find the area of a triangle.
For each triangle, construct the altitude from vertex A.
9.
10.
11.
12.
For each triangle, construct the angle bisector from vertex A.
13.
14.
15.
16.
For each triangle, construct the median from vertex A.
17.
18.
Construct the perpendicular bisector of side AB of each triangle.
19.
20.
For each triangle, construct the altitude from vertex A.
21.
22.
For each triangle, construct the angle bisector from vertex A.
23.
Answers to odd constructions on my website.
24.
5.2 Constructing Centroids and Orthocenters
Name __________________________
The three medians of a triangle intersect at a single point called the centroid. You can use a
straightedge and compass to find the centroid of a triangle.
With a straightedge/ruler, locate the centroid for ΔSTU by following the steps below.
Step 1: Locate the midpoints of sides TU and SU. Label the
midpoints A and B respectively.
Step 2: Draw the segments SA and TB. Use the letter H to label
their point of intersection, which is the centroid of ΔSTU.
Construct the centroid of each triangle.
1.
2.
Find the orthocenter P in the triangle.
3.
4.
1. Name a median.

a) RW
b) SV
c) QT
d) RU

2. Name an angle bisector.

a) RW
b) SV
c) QT
d) RU

3. Name a perpendicular bisector.

a) RW

b) SV
c) QT
d) RU
b) RP
c) QT
d) RU
4. Name an altitude.
a) RW
5. Name an angle bisector.
6. Name a median.
7. Name an altitude.
8. Name a perpendicular bisector.
Refer to the figure to determine which is the true statement for the given information.
9. FG is an altitude.
a) DGF is a right angle
b) DF = EF
c) DFG  EFG
d) DG = GE
10. FG is a median.
a) DGF is a right angle
b) DF = EF
c) DFG  EFG
d) DG = GE
11. FG is an angle bisector.
a) DGF is a right angle
b) DF = EF
c) DFG  EFG
d) DG = GE

ANSWERS: 1. C
3. B
5. AD
7. CG
9. A
11. C