Basic Constructions (Leaving Cert Mathematics): Quizzes

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Basic Constructions
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What two tools are used for geometric constructions?

Compass and straight edge

What is the objective of constructing an angle bisector?

To divide an angle into two equal parts

Where is the compass placed for the first step of bisecting an angle?

At the vertex of the angle

What requirement must the compass radius meet when constructing a perpendicular bisector?

More than half the segment length

What does a perpendicular bisector create?

A line perpendicular to a segment that bisects it

Where do the arcs intersect when constructing a perpendicular bisector?

Above and below the segment

For a perpendicular through a point not on a line, where is the compass placed first?

At the given point

For a perpendicular through a point on a line, where should the initial arc intersect?

On both sides of the point

Which construction divides an angle into two equal parts?

Angle bisector

What is NOT used in basic geometric constructions?

Protractor

How many intersection points are created when the first arc intersects an angle's arms?

Two

Why are basic constructions considered vital skills?

For solving complex geometric problems

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