Geometry Semester 1 Review

Front

What is the Law of Syllogism?

Back

The Law of Syllogism states that if 'p implies q' and 'q implies r' are both true statements, then 'p implies r' is also true.

Front

What does it mean for angles to form a linear pair?

Back

Angles form a linear pair when they are adjacent and their non-common sides form a straight line, making their sum equal to 180°.

Front

How do you translate a point in a coordinate plane?

Back

To translate a point (x, y) to a new point (x', y'), you add the translation values to the original coordinates: (x', y') = (x + a, y + b), where a and b are the translation amounts.

Front

What is the inverse of a conditional statement?

Back

The inverse of a conditional statement 'If p, then q' is 'If not p, then not q'.

Front

What is a counterexample?

Back

A counterexample is an example that disproves a conjecture or statement by showing that it is not always true.

Front

How do you find the equation of a line parallel to a given line?

Back

To find the equation of a line parallel to a given line, use the same slope as the given line and apply the point-slope form of the equation.

Front

What is the definition of supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180°.

Front

What is the difference between a linear pair and supplementary angles?

Back

A linear pair consists of two adjacent angles that form a straight line, while supplementary angles can be any two angles that sum to 180°, regardless of their position.

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the definition of a conditional statement?

Back

A conditional statement is an if-then statement that expresses a relationship between two propositions, typically in the form 'If p, then q'.