Median and Altitude of Acute, Obtuse, Right Triangles

Question 1

What is the median of a triangle?

How many medians are there for every triangle?

Answer 1

A segment from a vertex to the midpoint of the opposite side.

There are three medians for every triangle because there are three vertices of a triangle.

Question 2

What is the altitude of a triangle?

Answer 2

The perpendicular segment from a vertex to the line that contains the opposite side.

Question 3

What is the altitude of a triangle for acute triangles?

Answer 3

In acute triangles, the three altitudes are inside the triangle.

Question 4

What is the altitude of a triangle for obtuse triangles?

Answer 4

In obtuse triangles, two of the altitudes are outside the triangle and one is inside the triangle.

Question 5

What is the altitude of a triangle for right triangles?

Answer 5

In right triangles, two of the altitudes are part of the triangle

Question 6

Altitude is perpendicular to the opposite side

Answer 6

always

Altitude is always perpendicular to the opposite side

Question 7

A median is perpendicular to the opposite side

Answer 7

sometimes

A median is sometimes perpendicular to the opposite side

Question 8

An altitude is an angle bisector

Answer 8

sometimes

An altitude is sometimes an angle bisector

Question 9

An angle bisector is perpendicular to the opposite side (in isosceles triangle)

Answer 9

sometimes

An angle bisector is sometimes perpendicular to the opposite side (in isosceles triangle)

Question 10

A perpendicular bisector of a segment is equidistant from the endpoints of a segment

Answer 10

always

A perpendicular bisector of a segment is always equidistant from the endpoints of a segment

See Theorem 4-5