Geometry Flashcards
What is the circumcentre?
Equidistance from all three verticies
How would you find the Circumcentre?
Intersection of the perpendicular bisector of the sides
Where is the circumcentre on an acute triangle
Inside
Where is the circumcentre on an right angled triangle
On the midpoint of the hytotenuse
Where is the circumcentre on an obtuse triangle
Outside
What is the Incentre?
Equidistant from all three sides
How eould you find the incentre
Intersection of angles bisectors
Where is the Incentre on an acute triangle
Inside
Where is the Incentre on an right angles triangle
Inside
Where is the Incentre on an a obtuse triangle
Inside
What is the centroid
The centre of mass/ balancing point of triangle
How would you find the centroid
Intersection of medians (midpoint of side to opposite vertex)
Where is the centroid of a Acute triangle
Inside
Where is the centroid of a right angles triangle
Inside
Where is the centroid of a obtuse triangle
Inside
What is a othocentre
altudes
how do you find a Otherocentre
Intersetion of altudes (perpendiculars from vrtices of triangle to opposite side
Where is the ortherocentre on a acute angle
Inside
Where is the ortherocentre on a right angle triangle
on right angle
Where is the ortherocentre on an obtuse angle
Outside
What is the Axiom
A statement which is assumed to be true. It can be accepted without proof
What is the converse
The converse of a theorem is formed by taking the conclusion as the starting point and having the starting point as the conclusion
What is a theorem
A statement which has been proved to be true
