

Median and Altitude of a Triangle
Presentation
•
Mathematics
•
9th Grade
•
Hard
Joseph Anderson
FREE Resource
4 Slides • 23 Questions
1
Orthocenter
the lines containing the altitudes of a triangle are concurrent, intersecting at a point called the orthocenter.
2
Centroid
The point of intersection for all 3 medians
In this figure, the centroid is at Point P
3
4
Altitude of a triangle
a segment from a vertex to the line containing the opposite side and perpendicular to the line containing that side.
An "Altitude" can be interior or exterior to the triangle.
Every triangle has 3 altitudes.
5
Multiple Choice
All three medians intersect at the point of concurrency called the ____________.
6
Multiple Choice
The figure is an example of a(n) ...
angle bisector
dotted line theorem
altitude
median
7
Multiple Choice
In ΔXYZ, YB, XC, and ZA are medians.
If YC= 10, then ZC = _______
15
5
20
10
8
Multiple Choice
9
Multiple Choice
In ΔXYZ, YB, XC, and ZA are medians, and YC = 15.
If XP = 8, then PC = _______
2.7
12
5
4
10
Multiple Choice
11
Multiple Choice
Medians connect the __________ to the opposite ________.
12
Multiple Choice
Altitudes hit the ground at _______ degrees.
13
Multiple Choice
14
Multiple Choice
15
Multiple Choice
Name the segment/line/ray shown in the picture.
Perpendicular Bisector
Angle Bisector
Median
Altitude
16
Multiple Choice
17
Multiple Choice
X is the centroid of the triangle. If ZX = 3, find AZ.
3
6
9
12
18
Multiple Choice
In ∠PON , OP is the altitude of MN. If is 4x - 13 and ∠ONP is 2x-5, find the m ∠PON
90
18
59
69
19
Multiple Choice
GT is the median. If FT is 3x + 8 and TE is 7x - 16, find the value of x
6
24
9.8
48
20
Multiple Choice
The INCENTER is the intersection of which special segments?
Angle Bisectors
Perpendicular Bisectors
Medians
Altitudes
21
Multiple Choice
22
Multiple Choice
23
Multiple Choice
24
Multiple Choice
25
Multiple Choice
26
Multiple Select
Which types of centers are ALWAYS INSIDE the triangle? (Select all that apply)
Orthocenter
Incenter
Centroid
Circumcenter
27
Multiple Choice
The circumcenter and orthocenter can be outside the triangle if the triangle is ...
obtuse
acute
iscolese
right
Orthocenter
the lines containing the altitudes of a triangle are concurrent, intersecting at a point called the orthocenter.
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