How to use a truth table and counter example to determine the truth value of a statement

The video tutorial discusses truth statements, focusing on the relationship between hypotheses and conclusions. It explains scenarios where statements can be true or false, emphasizing that a statement is false only when a true hypothesis leads to a false conclusion. The tutorial then explores congruent and vertical angles, explaining their properties and how they relate to each other. Finally, it provides examples to demonstrate how to prove statements false, using congruent angles that are not vertical as a case study.

In which scenario is a statement considered false?

• When both the hypothesis and conclusion are true.

• When the hypothesis is false and the conclusion is true.

• When the hypothesis is true and the conclusion is false.

• When both the hypothesis and conclusion are false.

What do vertical angles share?

• An angle

• A side

• A vertex

• A line

Which of the following is true about vertical angles?

• They are formed by parallel lines.

• They are always congruent.

• They share a side.

• They share a vertex but not a side.

Which example demonstrates congruent angles that are not vertical?

• Angles in a box

• Angles in a triangle

• Two angles formed by intersecting lines

• Angles in a circle

What is the relationship between supplementary angles?

• They are always vertical.

• They are always congruent.

• They share a vertex and a side.

• They are always 90 degrees.