points lines and planes
These geometric figures have no formal definition and include points, lines, and planes.
What are undefined terms?
This is a measurable part of a line that consists of two points, called endpoints, and all of the points between them.
What is a line segment?
The opposite sides of a parallelogram are both parallel and congruent, meaning they have this relationship in terms of length.
What is equal (or the same)?
When two parallel lines are cut by a transversal, this type of angle pair is on opposite sides of the transversal and is congruent.
What are Alternate Interior Angles?
A simple, closed, two-dimensional figure whose sides are all straight line segments.
What is a polygon?
Points that lie on the same line are described using this term.
What are collinear points?
This key concept states that for collinear points A, B, and C, point C is between A and B if and only if AC + CB = AB
What is the Betweenness of Points?
This is the specific relationship between any two consecutive, or adjacent, interior angles in a parallelogram, meaning they add up to 180 degrees
What is supplementary?
This angle pair is on the same side of the transversal and is outside the two parallel lines.
What are Consecutive (or Same-Side) Exterior Angles?
This is the formula, where n is the number of sides, used to find the sum of the interior angles of any convex polygon.
What is (n-2) x 180 degrees?
The set of points where two geometric figures share in common is called this.
what is an intersection
Two segments that have the same measure are defined as this.
What are congruent segments?
The two diagonals of a parallelogram perform this action to each other at their point of intersection, dividing each into two congruent segments.
What is bisect?
This postulate states that if two parallel lines are cut by a transversal, then angles in the same relative position at each intersection are congruent.
What is the Corresponding Angles Postulate?
A polygon where all sides are congruent and all interior angles are congruent is classified as this.
What is a regular polygon?
This type of geometric figure is modeled by the surface of a notebook or the wings of a biplane.
What is a plane?
If point B is between points A and C, and AB=5 and BC= 10, this is the measure of the segment AC.
What is 15?
This two-part measurement, base multiplied by height, is the formula used to calculate the amount of surface a parallelogram covers.
What is the area?
The relationship between Same-Side Interior Angles when the two lines are parallel, meaning their measures add up to 180 degrees
What is supplementary?
This type of polygon has eight sides and is often associated with the shape of a stop sign.
What is an octagon?
When two lines meet, they always intersect in this kind of geometric object.
What is a point?
If DE=FG and DE=12, this is the measure of the segment FG.
What is 12
A rectangle, a rhombus, and a square are all special types of parallelograms, but this shape is not a parallelogram because it has only one pair of parallel sides.
What is a trapezoid?
The Converse of the Alternate Interior Angles Theorem can be used to prove that two lines are this, which means they will never intersect.
What are parallel lines?
A segment connecting two non-consecutive vertices in a polygon is known by this name.
What is a diagonal?