What is the Pythagorean Theorem?
a^2 + b^2 = c^2
What is the sum of all the angles in a triangle?
180
Explain: Complementary Angles vs. Supplementary Angles
Sum of Complementary Angles = 90 degrees vs Sum of Supplementary Angles = 180 degrees
Two different triangles are congruent if their corresponding ________ and ___________ are equal.
Angles & Sides
How do you find the distance between two points?
Distance can be found using the distance formula:
How do you find the midpoint between two points?
Midpoint can be found using midpoint formula:
What is the Triangle Inequality Theorem?
"The sum of any two sides of a triangle is greater than its third side."
Equilateral vs. Isosceles vs. Scalene Triangles
3 equal sides vs. 2 equal sides vs. 0 equal sides
Right vs. Acute vs. Obtuse Triangles
Right = 90 degrees (1 angle) Acute= <90 degrees (3 angles) Obtuse = > 90 degrees (1 angle)
Define: Median of a Triangle
The median of a triangle is the line segment drawn from the vertex to the midpoint of the opposite side (dividing into two equal parts).
Define: Altitude of a Triangle
The altitude of a triangle is the perpendicular distance from the base to the opposite vertex.
Define: Perpendicular Lines
Perpendicular lines are two distinct lines that intersect at each other at 90°.
Define: Parallel Lines
Parallel lines are straight lines that never meet each other no matter how long we extend them.
Define: Transversal Lines
A transversal line passes through two lines in the same plane at two distinct points.
