Geometry Constructions and using Midpoint and Distance formulas

Front

What is an angle bisector?

Back

An angle bisector is a line or ray that divides an angle into two equal parts.

Front

How do you construct a perpendicular bisector?

Back

To construct a perpendicular bisector, you need to find the midpoint of a segment and draw a line that is perpendicular to the segment at that midpoint.

Front

What does it mean for segments to be congruent?

Back

Segments are congruent if they have the same distance.

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at right angles (90 degrees) to each other.

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never intersect and are always the same distance apart.

Front

What is the distance formula?

Back

The distance formula is used to find the distance between two points (x1, y1) and (x2, y2): d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the midpoint formula?

Back

The midpoint formula is used to find the midpoint between two points (x1, y1) and (x2, y2): M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the significance of constructing an angle bisector in geometry?

Back

Constructing an angle bisector is important for creating equal angles, which is useful in various geometric proofs and constructions.

Front

What is the relationship between perpendicular bisectors and triangles?

Back

The perpendicular bisector of a side of a triangle is the locus of points equidistant from the endpoints of that side.

Front

How can you verify if two lines are parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.