Triangle Centres and Diagonal Properties

The centroid is the point of intersection of three ____ of a triangle.

• Medians

• Altitudes

• Perpendicular Bisectors

• Angle Bisectors

Which centre of the triangle is shown?

• Circumcentre

• Orthocentre

• Incentre

• Centroid

The altitudes of a triangle intersect at the ___________________.

• Centroid

• Circumcentre

• Incentre

• Orthocentre

The point of intersection of three perpendicular bisectors is called:

• Orthocentre

• Incenter

• Orthocentre

• Circumcentre

Which centre of the triangle is shown?

• Circumcentre

• Orthocentre

• Incenter

• Centroid

To find the CENTROID of a circle, the steps include to:

• 1. Find the midpoints

  2. Find the slopes

  3. Negative reciprocals

  4. Find equations

  5. Set 2 equations equal to find P.O.I

• 1. Find slopes

  2. Find negative reciprocals

  3. Find equations

  4. Set 2 equations equal to find P.O.I

• 1. Find the midpoints

  2. Find slopes (from M to opp. vertex)

  3. Find equations

  4. Set 2 equations equal to find P.O.I

Which centre of the triangle is shown?

• Circumcentre

• Orthocentre

• Incentre

• Centroid

Which triangle centre gives the centre of gravity (balance point)?

• Circumcentre

• Orthocentre

• Incenter

• Centroid

To find the CIRCUMCENTRE of a circle, the steps include to:

• 1. Find the midpoints

  2. Find the slopes

  3. Negative reciprocals

  4. Find equations

  5. Set 2 equations equal to find P.O.I

• 1. Find slopes

  2. Find negative reciprocals

  3. Find equations

  4. Set 2 equations equal to find P.O.I

• 1. Find the midpoints

  2. Find slopes (from M to opp. vertex)

  3. Find equations

  4. Set 2 equations equal to find P.O.I

To find the ORTHOCENTRE of a circle, the steps include to:

• 1. Find the midpoints

  2. Find the slopes

  3. Negative reciprocals

  4. Find equations

  5. Set 2 equations equal to find P.O.I

• 1. Find slopes

  2. Find negative reciprocals

  3. Find equations

  4. Set 2 equations equal to find P.O.I

• 1. Find the midpoints

  2. Find slopes (from M to opp. vertex)

  3. Find equations

  4. Set 2 equations equal to find P.O.I