Geometry Constructions

Front

What is a compass used for in geometry?

Back

A compass is a tool used to draw arcs and circles and to measure distances.

Front

What is a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle.

Front

What is an angle bisector?

Back

An angle bisector is a ray that divides an angle into two equal angles.

Front

What is the construction of an equilateral triangle?

Back

An equilateral triangle is constructed by drawing three equal-length sides with each angle measuring 60 degrees.

Front

What does it mean to inscribe a shape in a circle?

Back

To inscribe a shape in a circle means to draw the shape so that all its vertices lie on the circle.

Front

What is the difference between a segment bisector and an angle bisector?

Back

A segment bisector divides a line segment into two equal parts, while an angle bisector divides an angle into two equal angles.

Front

How do you construct a line parallel to a given line through a point?

Back

Use a compass to create equal arcs from the point and the line, then connect the intersection points to form a parallel line.

Front

What is the purpose of constructing a triangle given its three sides?

Back

This construction is known as the SSS (Side-Side-Side) criterion, which allows you to create a triangle when the lengths of all three sides are known.

Front

What is a hexagon inscribed in a circle?

Back

A hexagon inscribed in a circle is a six-sided polygon where all vertices touch the circumference of the circle.

Front

What is the significance of congruent angles in geometric constructions?

Back

Congruent angles are important in constructions as they ensure that two angles are equal, which is essential for creating similar shapes.