Creating Formal Geometric Part 2

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 between points.

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 does it mean to bisect an angle?

Back

To bisect an angle means to divide it into two equal angles.

Front

What is the first step in constructing an angle congruent to a given angle using a compass and straightedge?

Back

Place the compass point at the vertex of the given angle.

Front

What is an equilateral triangle?

Back

An equilateral triangle is a triangle in which all three sides are of equal length and all three angles are equal to 60 degrees.

Front

Define 'congruent' in geometric terms.

Back

Congruent means that two figures have the same shape and size.

Front

What is the purpose of a straightedge in geometric constructions?

Back

A straightedge is used to draw straight lines and to extend lines in geometric constructions.

Front

How do you construct a line parallel to a given line through a point not on the line?

Back

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

Front

What is the definition of a geometric construction?

Back

A geometric construction is a method of creating geometric figures using only a compass and straightedge.

Front

What is the significance of the term 'radius' in geometry?

Back

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