Conditional Statement
1 hr 5 min 16 Examples
- Introduction to conditional statements
- What are conditional statements, converses, and biconditional statements? (Examples #1-2)
- Understanding venn diagrams (Examples #3-4)
- Supply the missing venn diagram and conditional statement for each question (Examples #5-8)
- Write the statement and converse then determine if they are reversible (Examples #9-12)
- Understanding the inverse, contrapositive, and symbol notation
- Write the statement, converse, inverse, contrapositive, and biconditional statements for each question (Examples #13-14)
- Using geometry postulates to verify statements (Example #15)
- What are perpendicular lines, perpendicular planes and the perpendicular bisector?
- Using the figure, determine if the statement is true or false (Example #16)
Law of Syllogism and Detachment
38 min 19 Examples
- Introduction to deductive reasoning
- Overview of the laws of detachment and syllogism
- Use the law of detachment to determine if the statement is valid (Examples #1-2)
- Use the law of syllogism to write the statement that follows (Examples #3-5)
- Use logic to give a reason for each statement (Examples #6-11)
- Name the definition used for each conclusion (Examples #12-16)
- Draw a conclusion and name the definition used as the reason (Examples #17-19)
Properties of Equality
38 min 9 Examples
- Introduction to properties of equality and congruence
- Algebraic properties of equality and congruence (Examples #1-2)
- What are the missing reasons in the proof (Examples #2-4)
- Fill in the blanks to complete the two-column proof (Examples #5-7)
- Fill in the missing statements or reasons for the following two-column proof (Examples #8-9)
Two Column Proof
44 min 7 Examples
- How to Write Two-Column Proofs?
- What is a two column proof? (Example #1)
- Complete the two-column proof for congruent segments or supplementary angles (Examples #2-3)
- Complete the two column proof for congruent segments or complementary angles (Examples #4-5)
- Write a two column proof (Examples #6-7)
- List of important geometry theorems
Parallel Lines Cut By A Transversal
1 hr 11 min 23 Examples
- What are parallel, intersecting, and skew lines? (Examples #1-8)
- Overview of transversal and angle pair relationships (Examples #9-14)
- Theorems for perpendicular and parallel lines
- Find the measure of each angle given two parallel lines cut by a transversal (Examples #15-18)
- Find the measure of each angle (Example #19)
- From the given information can you prove the two lines are parallel? (Example #20)
- Write a two-column proof given parallel lines (Examples #21-23)
Chapter Test
52 min 31 Practice Problems
- Use Deductive Reasoning (Problems #1-3)
- Use Deductive Reasoning and True/False (Problems #4-9)
- Complete the two-column proof (Problems #10-11)
- Complete the two-column proof (Problems #12-13)
- Find the angle measure and identify the angle relationship (Problems #14-23)
- Find the measure of each angle (Problems #24-31)
