Points and Lines and Planes
What is a point in geometry?
A precise position or place in space.
What does a bisector do??
Split an object into two equal/congruent parts.
True/False: if a segment is bisected their half's are the equal/congruent.
True
What tools are commonly used for geometric constructions?
Common tools for geometric constructions include a compass, straightedge, and pencil.
Define a line segment.
A line segment is a part of a line that has two endpoints.
what is the Other name for the Perpendicular bisector construction?
Football construction
How do you identify equal distance on our segments diagrams?
Same number of "tic" marks
What part of the a circle does the distance of your compass make?
When we measure a distance with a compass, we use that distance to make the RADIUS of the circle.
What is the difference between a line and a line segment?
A line extends infinitely in both directions, while a line segment has a finite length with two endpoints.
Segment AB is bisected by point G. What are the two segments that are congruent?
Segment AG and Segment GB.
How do you identify two congruent/equal Angle measurements in a diagram?
The same number of "arc marks" at those angles
What is a perpendicular bisector?
a bisector that intersects at a right angle (90 degrees).
How do you determine if three points are collinear?
Three points are collinear if they lie on the same straight line.
Angle ABC is Bisected by Ray BG. What are the two congruent anlages?
Angle ABG and Angle GBC
AB is Bisected by point M. AM = 3x-5, BM=2x+1. What is x? What is the distance of AB?
x = 6, AB = 26
To make a Angle Bisector, After you find two points that are equidistant from the angle. What is the final construction to make the angle bisector?
Football construction
Explain the concept of perpendicular lines.
Perpendicular lines are lines in a plane that intersect at a right angle (90 degrees)
When we are on the Perpendicular bisector we are equidistant!
If an angle is 127 degrees. what would the bisected angle measurements be?
63.5 degrees
Write the construction steps of the perpendicular bisector of a segment AB.
1) draw circle A with radius AB.
2) draw circle B with radius AB.
3) Draw a line going through the intersections.