Basics & Definitions
What is the definition of a point?
A location in space with no size.
What is the measure of supplementary angles that form a linear pair?
180
What is the sum of the interior angles of any triangle?
180
What is a quadrilateral?
A polygon with four sides.
What is the definition of a circle?
The set of all points in a plane equidistant from a center.
What is a line?
An infinite set of points extending in two opposite directions.
If two parallel lines are cut by a transversal, what does the Corresponding Angles Postulate say?
Corresponding angles are equal.
What triangle has all sides equal?
Equilateral triangle.
What do you call a quadrilateral with two pairs of parallel sides?
Parallelogram
What is the formula for the circumference of a circle?
C = 2πr
What is a plane?
A flat surface extending infinitely in all directions
What is the sum of angles around a point?
360
What triangle has two equal sides?
Isosceles triangle.
What special quadrilateral has four right angles and opposite sides equal?
Rectangle
What is the formula for the area of a circle?
A = πr²
What is a ray?
Part of a line that has one endpoint and extends infinitely in one direction
What is the definition of perpendicular lines?
Lines that intersect to form right angles.
What does the Pythagorean Theorem state (for a right triangle)?
a² + b² = c²
What quadrilateral has all sides equal, but angles not necessarily right?
What is the formula for the area of a rectangle?
length × width
What is the Ruler Postulate?
The distance between two points is the absolute value of the difference of their coordinates.
If two parallel lines are cut by a transversal, what is the relationship between Alternate Interior Angles?
Alternate interior angles are equal.
What is the Triangle Inequality Theorem?
The sum of any two sides must be greater than the third side.
What is the sum of interior angles of an n-sided polygon?
(n – 2) × 180
What is the formula for the area of a triangle (using base & height)?
A = ½ × base × height.