Geometric Constructions

Front

What does the symbol ≅ mean?

Back

Congruent

Front

What is the first step in constructing a perpendicular bisector of a segment?

Back

Place the compass point at one endpoint of the segment and draw arcs above and below the segment.

Front

What is a perpendicular bisector?

Back

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

Front

What is the purpose of an angle bisector?

Back

To divide an angle into two equal angles.

Front

What is the definition of congruence in geometry?

Back

Two figures are congruent if they have the same shape and size.

Front

What is the difference between equal and congruent?

Back

Equal refers to the same measure, while congruent refers to the same shape and size.

Front

What is the construction for creating an angle bisector?

Back

Draw an arc from the vertex that intersects both sides of the angle, then draw arcs from the intersection points to find the bisector.

Front

What is the significance of using a compass and straightedge in constructions?

Back

They allow for precise geometric constructions without measurement.

Front

What does it mean to construct a geometric figure?

Back

To create a figure using only a compass and straightedge.

Front

What is the definition of a line segment?

Back

A part of a line that has two endpoints.