Rays & Angles
What is a ray?
A part of a line that starts at a point and extends infinitely in one direction.
How many sides does a triangle have?
Three sides.
What does collinear mean?
What are the points that lie on the same line?
What is a postulate?
A statement accepted as fact without proof.
What is a segment bisector?
A line, ray, segment, or plane that passes through a segment at its midpoint.
Define a vertex in the context of geometry.
The point of intersection of two or more line segments, rays, or lines.
What are parallel lines?
Lines that are always the same distance apart and never meet.
Define coplanar.
What are the points that lie on the same plane?
What is a theorem?
A statement that has been proven to be true using other theorems, definitions, or postulates.
What is the midpoint of a line segment?
The halfway point that divides the segment into two congruent segments.
How is an angle formed?
An angle is formed by two rays with the same endpoint, known as the vertex.
Describe perpendicular lines.
Lines that intersect to form four right angles.
Give an example of collinear points.
Points A, B, and C are collinear because they are on the same line.
Provide an example of how to use addition with postulates.
If B is a point on the line segment AC, then AB + BC = AC.
If QR = 14 and RS = 17, what is QS?
QS = QR + RS = 14 + 17 = 31.
If two rays form an angle, what is the point called?
The vertex.
What is the name of the angles formed when two lines intersect?
Right angles (if they are perpendicular).
What is the difference between collinear and coplanar?
Collinear points lie on the same line; coplanar points lie on the same plane.
What does it mean for line segments to be congruent?
They have the same length.
Explain how to write a congruence statement.
A congruence statement shows that two segments are congruent, often using symbols like AB cong CD.
What do we call a triangle with vertices labeled A, B, and C?
Triangle ABC.
Provide an example of a triangle's vertex naming convention.
Triangle ABC, where A, B, and C are the vertices.
How do two planes intersect?
Two planes intersect along a line.
What is the significance of tick marks in geometry?
Tick marks indicate that line segments are congruent.
What is an example of Geometry in the real world
A hexagon is the shape of a honeycomb
A cone is the shape of a party hat
A cube is the shape of a dice