Law of Detachment
If a⇒b is a true conditional statement and a is true, then b is true.
Example 3.16: If ∠A and ∠B are supplementary angles and m∠A =100° then ________.
Conclusion: m∠A+ m∠B=180° 100°+ m∠B=180° m∠B=80°
Example 3.17: All teachers are passionate. Royet is a teacher.
Conclusion: Therefore, Royet is passionate.
Example 3.18: All squares have …show more content…
A quadrilateral has four sides.
A rectangle is a quadrilateral.
Therefore, a rectangle has four sides.
II. Draw a conclusion from the given statements. Most students are irresponsible on their works.
Zaryna is a student. Every square is a rectangle.
Quadrilateral MINE is a square. Students who know Algebra is intelligent.
Royet is an intelligent student.
III. Write a conjecture based on the given information. Point A is between B and C. T, R, Y are collinear points. The number x is a perfect square.
IV. Solve this mystery. Lance reported to the police that criminals broke into his house last night and stole his laptop. Today, the laptop was traced at a lending station and some suspects were identified by the police. Can you identify the thief? The only suspects are Lance (the owner of the house), Jay-R (a gardener), Oliver (guest), and Rhex (a friend). The local police have gathered the following information: The break-in happened between 9:00-10:00 last night. Lance was sick that time. Jay-R has been visiting his ancestors in the province since a couple of month. Rhex’s and Oliver’s fingerprints were on the stolen laptop. Lance stayed in a friend’s house from 5:00-10:00 p.m. last