Circle and Tangent Constructions (Leaving Cert Mathematics): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
ShowHide
Practise the questions
10 questions from this quiz
What must be constructed to find the circumcentre of a triangle?
What must be constructed to find the circumcentre of a triangle?
Perpendicular bisectors of the sides
What property does the circumcircle of a triangle have?
What property does the circumcircle of a triangle have?
It passes through all three vertices
When constructing a perpendicular bisector, the compass radius must be what?
When constructing a perpendicular bisector, the compass radius must be what?
Greater than half the side's length
Where do the three perpendicular bisectors of a triangle intersect?
Where do the three perpendicular bisectors of a triangle intersect?
At the circumcentre
What must be constructed to find the incentre of a triangle?
What must be constructed to find the incentre of a triangle?
Angle bisectors of the interior angles
What property does the incircle of a triangle have?
What property does the incircle of a triangle have?
It is tangent to all three sides
What radius is used when drawing the incircle from the incentre?
What radius is used when drawing the incircle from the incentre?
Perpendicular distance to any side
What is the relationship between a tangent and the radius at the point of tangency?
What is the relationship between a tangent and the radius at the point of tangency?
The tangent is perpendicular to the radius
To construct a tangent at point on a circle, what must be drawn first?
To construct a tangent at point on a circle, what must be drawn first?
A radius from centre to point
Where do the three angle bisectors of a triangle intersect?
Where do the three angle bisectors of a triangle intersect?
At the incentre