Constructions (Leaving Cert Mathematics): Flashcards
📚Flashcards
Practise the cards
15 cards from this deck
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Practise the cards
15 cards from this deck
Tools for geometric construction
Tools for geometric construction
Compass, straightedge, protractor, set square
Why leave construction arcs visible in exams?
Why leave construction arcs visible in exams?
Evidence of correct method for full marks
Principle used to construct angle
Principle used to construct angle
All angles in equilateral triangle equal
What is a tangent to a circle?
What is a tangent to a circle?
Line touching circle at exactly one point
Tangent's relationship to radius at contact point
Tangent's relationship to radius at contact point
Perpendicular to the radius
What is a parallelogram?
What is a parallelogram?
Quadrilateral with opposite sides parallel and equal
What is a perpendicular bisector?
What is a perpendicular bisector?
Line through midpoint, perpendicular to segment
Key property of perpendicular bisector
Key property of perpendicular bisector
Every point equidistant from endpoints
What does an angle bisector do?
What does an angle bisector do?
Divides angle into two equal parts
Key property of angle bisector
Key property of angle bisector
Every point equidistant from the two arms
Key property of circumcentre
Key property of circumcentre
Equidistant from all three vertices
Where is the circumcentre located?
Where is the circumcentre located?
Where perpendicular bisectors of sides meet
Key property of incentre
Key property of incentre
Equidistant from all three sides
Where is the incentre located?
Where is the incentre located?
Where angle bisectors meet
What is the centroid of a triangle?
What is the centroid of a triangle?
Where all three medians intersect