Geo 5-1A HW

Geometry Worksheet 5.1A
Bisectors, altitudes, and medians
READ pages 238-242
1. Name all the parts in the triangle.
a. Median
b. Angle Bisector
c. Altitude
d. Perpendicular Bisector
Name ________________________
Per ___ Date __________________
2. Name all the parts in the triangle.
a. Median
b. Angle Bisector
c. Altitude
d. Perpendicular Bisector
3. Name all the parts in the triangle.
a. Median
b. Angle Bisector
c. Altitude
d. Perpendicular Bisector
4. If E is the midpoint of AB , F is the midpoint of BC , and G is the midpoint of AC , Name
each:
a. The altitudes of ΔABC
b. The medians of Δ ABC
c. The centroid of ΔABC
d. The orthocenter of Δ ABC
5. Underline the correct word or phrase to complete each sentence.
a. Three or more lines that intersect at a common point are called
(parallel/perpendicular/concurrent) lines.
b. Any point on the perpendicular bisector of a segment is (parallel to/congruent
to/equidistant from) the endpoints of the segment.
c. A(n) (altitude/angle bisector/median/perpendicular bisector) of a triangle is a
segment drawn from a vertex of a triangle perpendicular to the line containing the
opposite side.
d. The point of concurrency of the three perpendicular bisectors of a triangle is called
the (orthocenter/circumcenter/incenter/centriod).
e. The point of concurrency of the three angle bisectors of a triangle is called the
(orthocenter/circumcenter/incenter/centriod).

6. FJ is what type of segment? ______
A. Perpendicular Bisector
B. Altitude
C. Median
D. Angle Bisector
E. A and C
F. All of the above.
A
7. Given: AO is an altitude and angle bisector
Prove: AO is a median
C
O
B
8. In the proof above, what type of triangle is Δ CAB ?
9. What in real life could you relate the word altitude to so that you could remember
the meaning of the word better?