THINK AND DISCUSS
1. Draw a triangle in which a median and an altitude are the same
segment. What type of triangle is it?
2. Draw a triangle in which an altitude is also a side of the triangle.
What type of triangle is it?
3. The centroid of a triangle divides each median into two segments.
What is the ratio of the two lengths of each median?
4. GET ORGANIZED Copy and complete the graphic organizer.
Fill in the blanks to make each statement true.
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5-3
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Exercises
KEYWORD: MG7 5-3
KEYWORD: MG7 Parent
GUIDED PRACTICE
Vocabulary Apply the vocabulary from this lesson to answer each question.
1. The ? of a triangle is located __23 of the distance from each vertex to the
−−−−
midpoint of the opposite side. (centroid or orthocenter)
2. The ? of a triangle is perpendicular to the line containing a side.
−−−−
(altitude or median)
SEE EXAMPLE
1
p. 315
VX = 204, and RW = 104. Find each length.
3. VW
4. WX
5. RY
6. WY
/
7
8
6
,
SEE EXAMPLE
2
p. 315
SEE EXAMPLE
p. 316
3
7. Design The diagram shows a plan for
a piece of a mobile. A chain will hang
from the centroid of the triangle.
At what coordinates should the artist
attach the chain?
9
<
{
Ó
Þ
­Ç]Ê{®
­ä]ÊÓ®
Ý
ä
Ó
­x]Êä®
n
Multi-Step Find the orthocenter of a triangle with the given vertices.
8. K(2, -2), L(4, 6), M(8, -2)
9. U(-4, -9), V (-4, 6), W(5, -3)
10. P(-5, 8), Q(4, 5), R(-2, 5)
11. C (-1, -3), D(-1, 2), E (9, 2)
5- 3 Medians and Altitudes of Triangles
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