Lines, Line Segments, and Rays
A straight one-dimensional figure that extends infinitely in both directions, consisting of an infinite number of points.
What is a line?
These lines are the same distance apart ALWAYS.
What are parallel lines?
A polygon with four sides, four vertices, and four angles. The sum of its interior angles is always 360∘
What is a quadrilateral?
This theorem states that "Vertical Angles are congruent'
Vertical Angles Theorem
These lines will cross.
What are intersecting lines?
A parallelogram with four right angles.
What is a rectangle?
"Through any two points, there is exactly one ____."
"Line"
A shape that has 6 sides.
What is a hexagon?
A rectangle with all four sides of equal length.
What is a square?
What are the five primary triangle postulates used to prove triangle congruence?
Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), Angle-Angle-Side (AAS), and Right Angle-Hypotenuse-Side (RHS) or sometimes called Hypotenuse-Leg (HL)
A figure formed by two rays (called the sides) sharing a common endpoint (called the vertex).
What is a ray?
All angles in every triangle will add up to this number of degrees
180 degrees
A parallelogram with all sides equal in length. Opposite angles are congruent.
What is a rhombus?
A statement in the form "if p, then q." True unless p is true and q is false.
Example: "If it rains, then the grass will grow."
Conditional Statement (p→q)
What is this postulate: If AB = CD and CD = EF, then AB = EF.
Transitive Property
A location in space that has no size, dimension, or area; it is represented by a dot and named using a capital letter.
What is a point?
A quadrilateral has 3 angles measuring 90 degrees, 100 degrees, and 70 degrees. What is the measure of the 4th angle?
100 degrees
A quadrilateral with at least one pair of parallel sides.
What is a trapezoid?
What is this law in logic: If p→q and q→r, then p→r.
Example: If it rains, then the grass grows. If the grass grows, then the cows eat. Therefore, if it rains, the cows eat.
Law of Syllogism
Finish the Linear Pair Postulate: "If two angles form a linear pair, then they are ________."
"supplementary"