Triangle Centers

Ryan Smith, Jun 14, 2015

Some illustrations for the properties of triangles lesson for mpm2d

Table of Contents

  1. Orthocenter
    1. Orthocenter1
    2. Orthocenter2
    3. Orthocenter3
  2. Centroid
    1. Centroid1
    2. Centroid2
    3. Centroid3
    4. Centroid4
  3. Circumcenter
    1. Circumcenter1
    2. Circumcenter2
    3. Circumcenter3
    4. Circumcenter4
  4. Incenter
    1. Incenter 1
    2. Incenter 2
    3. Incenter 3
    4. Incenter 4
  5. All Triangles Combined
    1. Euler Line 1
    2. Euler Free Manipulate

1.

Orthocenter

  • 1. Orthocenter1
  • 2. Orthocenter2
  • 3. Orthocenter3

1.1.

Orthocenter1
– Ryan Smith

1.2.

–

1.3.

–

2.

Centroid

  • 1. Centroid1
  • 2. Centroid2
  • 3. Centroid3
  • 4. Centroid4

2.1.

Centroid1

Start here by exploring using the triangle and line given. Think to yourself: "How is the blue line (AD) formed?"
– Ryan Smith

2.2.

–

2.3.

–

2.4.

–

3.

Circumcenter

  • 1. Circumcenter1
  • 2. Circumcenter2
  • 3. Circumcenter3
  • 4. Circumcenter4

3.1.

Circumcenter1
– Ryan Smith

3.2.

–

3.3.

–

3.4.

–

4.

Incenter

  • 1. Incenter 1
  • 2. Incenter 2
  • 3. Incenter 3
  • 4. Incenter 4

4.1.

Incenter 1

– Ryan Smith

4.2.

–

4.3.

–

4.4.

–

5.

All Triangles Combined

  • 1. Euler Line 1
  • 2. Euler Free Manipulate

5.1.

Euler Line 1

The triangle can be manipulated using vertices A and C. Use the checkboxes, slider and input box to further explore.
– Ryan Smith

5.2.

–

Information