Winter Break Assignment - Geometry

Front

What is a perpendicular bisector?

Back

A line that divides another line segment into two equal parts at a 90-degree angle.

Front

How do you construct a perpendicular bisector using a compass and straightedge?

Back

1. Place the compass point on one endpoint of the segment and draw arcs above and below the line. 2. Without changing the compass width, repeat from the other endpoint. 3. Draw a line through the intersection points of the arcs.

Front

What does it mean for two lines to be parallel?

Back

Two lines that never intersect and are always the same distance apart.

Front

What is the definition of congruent lines?

Back

Lines that have the same length.

Front

What is the definition of similar figures?

Back

Figures that have the same shape but may differ in size.

Front

What is the relationship between perpendicular lines?

Back

Perpendicular lines intersect at a right angle (90 degrees).

Front

What is the purpose of constructing an angle bisector?

Back

To divide an angle into two equal angles.

Front

How do you bisect an angle using a compass and straightedge?

Back

1. Draw an arc across both rays of the angle. 2. From the intersection points, draw arcs that intersect each other. 3. Draw a line from the vertex to the intersection of the arcs.

Front

What is the significance of the transversal line in geometry?

Back

A transversal is a line that intersects two or more lines, creating angles that can be analyzed for relationships such as alternate interior angles.

Front

What are alternate interior angles?

Back

Angles that are on opposite sides of a transversal and inside the two lines.