Geometric Constructions

Front

What is a Perpendicular Bisector?

Back

A line that divides another line segment into two equal parts at a right angle.

Front

What is the construction for a Perpendicular through a point on the line?

Back

To construct a perpendicular line through a point on a given line, use a compass to draw arcs from the point, then connect the intersection points.

Front

What is the construction for a Perpendicular through a point not on the line?

Back

To construct a perpendicular line through a point not on a given line, draw arcs from the point to intersect the line, then connect the point to the intersection points.

Front

What defines an Equilateral Triangle?

Back

A triangle with all three sides of equal length and all three angles measuring 60 degrees.

Front

What is the purpose of constructing two circles in geometric constructions?

Back

To find two points that are equidistant from two given points, A and B.

Front

What is a Square?

Back

A quadrilateral with four equal sides and four right angles.

Front

What is the radius of a circle?

Back

The distance from the center of the circle to any point on its circumference.

Front

How do you construct a radius to Circle B?

Back

Use a compass to measure the distance from the center of Circle B to any point on its circumference.

Front

What is the significance of constructing an Equilateral Triangle?

Back

It is used in various geometric proofs and constructions due to its symmetrical properties.

Front

What is the method to construct a Rectangle?

Back

Draw two equal lengths and connect them with perpendicular lines to form right angles.