How to Understand ‘If-Then’ Conditional Statements: A Comprehensive Guide
TL;DR: Every geometry proof you will ever write rests on one tiny sentence: if this, then that. That is a conditional statement, with a hypothesis (call it p) and a conclusion (call it q). Switch the pieces around and you get three cousins, the converse swaps them, the inverse negates them, and the contrapositive does […]
Mastering the Midpoint & Distance on the Number Line
The midpoint of a segment is the average of its endpoints, taken coordinate by coordinate. The distance between them comes from the Pythagorean theorem applied to the horizontal and vertical gaps. Worked examples: midpoint and distance on a number line Practice questions on midpoint and distance Find the midpoint between the numbers (2) and (8) […]
