Exploring Geometric Proofs

What was the primary focus of the first few days of the week?

• Geometric proofs

• Segment addition postulates

• Angle relationships

• Reason and proof in algebra

What do supplementary angles add up to?

• 90 degrees

• 180 degrees

• 360 degrees

• 45 degrees

What is a linear pair of angles?

• Two angles that form a right angle

• Two angles that are congruent

• Two adjacent angles whose non-common sides are opposite rays

• Two angles that add up to 90 degrees

What is the most common way to do a proof in geometry?

• Two-column proof

• Flowchart proof

• Paragraph proof

• Graphical proof

What is the first step in a two-column proof?

• State the theorem

• Write the conclusion

• Draw a diagram

• Write the given information

What property allows you to replace one quantity with another equal quantity in a proof?

• Substitution property of equality

• Subtraction property of equality

• Multiplication property of equality

• Addition property of equality

What theorem states that vertical angles are congruent?

• Congruent Angles Theorem

• Supplementary Angles Theorem

• Vertical Angles Theorem

• Linear Pair Theorem

What is the definition of congruent angles?

• Angles that form a straight line

• Angles that have equal measures

• Angles that add up to 180 degrees

• Angles that add up to 90 degrees

What is the final step in proving that two angles are supplementary?

• Using the linear pair theorem

• Using the substitution property of equality

• Using the angle addition postulate

• Using the definition of supplementary angles

What type of assignment will students be working on?

• Creating their own proofs from scratch

• Multiple choice questions

• Writing essays on geometric theorems

• Fill in the blank proofs