Perpendicular Lines
I.SectionObjectives
- Identify congruent linear pairs of angles.
- Identify the angles formed by perpendicular intersecting lines.
- Identify complementary adjacent angles.
II.ProblemSolvingActivity-RugAngles
- In this problem solving activity, students are going to identify the angles formed by perpendicular lines.
- Use this rug design as Figure03.06.01 http://www.homedecorators.com/detail.php?parentid=26996&aid=bzrt
- Ask students to use this figure to draw their own rug design.
- They can use color and different sizes of polygons on the rug. The big point is to be sure that they are using
perpendicular lines on the rug. - In the design, the students need to include two linear pairs.
- They need to include two sets of perpendicular intersecting angles.
- They need to show one set of complementary adjacent angles.
- These rugs can be designed on chart paper or graph paper- you can leave it up to the students on the size of
the rug. - Allow time for the students to share their work when finished.
III.MeetingObjectives
- Students will identify and draw congruent linear pairs of angles.
- Students will identify and draw angles formed by perpendicular intersecting lines.
- Students will identify and draw complementary adjacent angles.
IV.NotesonAssessment
- Did the students accomplish this task?
- Are all of the angles present?
- Are all of the perpendicular lines accurate?
- Is there anything missing in the design?
- Offer feedback to students during group discussions.
Perpendicular Transversals
I.SectionObjectives
- Identify the implications of perpendicular transversals on parallel lines.
- Identify the converse theorems involving perpendicular transversals and parallel lines.
- Understand and use the distance between parallel lines.
II.ProblemSolvingActivity-MagazineHunt
- For this problem solving activity, you will need an assortment of magazines.
- Students are going to go on a magazine hunt for parallel lines and their transversals.
Chapter 5. Geometry TE - Problem Solving