Triangles and Related Terms

 

 

Triangle

 

 

Side

 

 

Angle

 

 

Vertex

 

 

Exterior angle

 

 

Opposite interior angle

 

 

Opposite side

 

 

Altitude

 

 

Height

 

 

 

Median

 

 

Right

 

 

Acute

 

 

Obtuse

 

 

Equiangular

 

 

Equilateral

 

 

Isosceles

 

 

Scalene

 

 

Some Facts about Triangles

A right triangle has only one right angle. Why?

An acute triangle has no right angles or no obtuse angles. Why?

An obtuse triangle has only one obtuse angle. Why?

A triangle is a closed figure whose sides are formed by three segments. Explain.

 

Complete each statement with always, sometimes, or never.

  1. The interior angles of a triangle ___________ add to 180º.
  2. A scalene triangle is ________________ an isosceles triangle.
  3. An isosceles triangle is _______________ an equilateral triangle.
  4. An equilateral triangle is _______________ an isosceles triangle.
  5. A unique plane is ______________ formed with three points.
  6. Two points ________________ determine exactly one line.
  7. The intersection of two lines is ________________ one point.
  8. The angle between the hands on a clock is __________________ based on a 1:12 movement of the hands.
  9. An acute angle is _________________ greater than 0º and less than 90º.
  10.  An obtuse angle is _________________ greater than 180º.