Perpendicular and Angle Bisectors

Front

What are perpendicular lines?

Back

Lines that intersect at a right angle (90 degrees).

Front

What is an angle bisector?

Back

A line or segment that divides an angle into two equal parts.

Front

What is the definition of a perpendicular bisector?

Back

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

Front

How do you construct a perpendicular bisector?

Back

1. Place the compass point on one endpoint and draw an arc above and below the line. 2. Repeat from the other endpoint. 3. Draw a line through the intersection points of the arcs.

Front

What is the relationship between perpendicular lines and right angles?

Back

Perpendicular lines always form right angles at the point of intersection.

Front

What is the significance of the angle bisector in triangles?

Back

It helps in finding the incenter, which is the center of the inscribed circle.

Front

What is the ASA (Angle-Side-Angle) congruence criterion?

Back

If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What does it mean for arcs to be equidistant?

Back

It means that the distance from the endpoints of the segment to the arcs is the same.

Front

What is the purpose of constructing an angle bisector?

Back

To find the exact middle of an angle, which can be useful in various geometric constructions.

Front

What is the difference between adjacent and opposite angles?

Back

Adjacent angles share a common side and vertex, while opposite angles are formed by two intersecting lines and do not share any sides.