Constructions

What is the significance of the midpoint in constructions?

• It helps in creating angles of 90 degrees.

• It ensures that the two segments created are equal in length.

• It is used to measure the area of a triangle.

• It determines the length of the longest side in a triangle.

What is the definition of a parallel line?

• Lines that intersect at a right angle.

• Lines that meet at a point in a plane.

• Lines in a plane that never meet and are always the same distance apart.

• Lines that curve away from each other.

What is the process to copy an angle?

• Place the vertex of the angle at a point, then use a compass to replicate the angle's arms.

• Draw a straight line and measure the angle with a protractor.

• Use a ruler to extend the angle's arms without measuring.

• Draw a circle around the angle and mark the intersection points.

What is a transversal line?

• A line that runs parallel to another line.

• A line that crosses two or more other lines, creating angles.

• A line that is perpendicular to another line.

• A line that connects two points on a graph.

What does it mean to bisect a segment?

• To divide it into two equal parts.

• To measure the length of the segment.

• To extend the segment indefinitely.

• To create a right angle with the segment.

How do you construct a perpendicular bisector?

• Find the midpoint of a line segment and draw a line that is perpendicular to the segment at that midpoint.

• Draw a line segment and extend it indefinitely in both directions.

• Use a compass to draw two arcs from each endpoint of the segment and connect the intersection points.

• Measure the length of the segment and divide it by two to find the midpoint.

What is the difference between a segment and a line?

• A segment has two endpoints and a finite length, while a line extends infinitely in both directions.

• A segment extends infinitely in both directions, while a line has two endpoints and a finite length.

• A segment is a part of a line that has no endpoints, while a line has two endpoints.

• A segment can be extended indefinitely, while a line has a fixed length.

How can you verify if two lines are parallel?

• Two lines are parallel if they have the same slope.

• Two lines are parallel if they intersect at a right angle.

• Two lines are parallel if they are both perpendicular to a third line.

• Two lines are parallel if they have different slopes.

How do you construct a triangle given two sides and the included angle?

• Draw one side, then use a compass to create arcs from each endpoint to form the other side at the specified angle.

• Draw two sides of the triangle and connect their endpoints with a straight line.

• Use a ruler to measure the lengths of the sides and draw them without any angles.

• Start with the included angle and draw the two sides at random lengths.

What is an angle bisector?

• A line that divides an angle into two equal parts.

• A line that measures the size of an angle.

• A ray that connects two points on a circle.

• A line that is perpendicular to an angle.