Parallelism and perpendicularity
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This document contains a math lesson on parallelism and perpendicularity. It includes an opening prayer, activities to identify parallel and perpendicular lines using optical illusions and geometry examples, and a worksheet for students to identify different types of angles and lines related to parallelism and perpendicularity. The goal is to help students understand how to establish whether two lines are parallel or perpendicular.
Parallelism and perpendicularity
- 2. Math Prayer Lord, You have created us in different shapes and angles But still you made sure that we are congruent one way or another. No matter which sides, even if there are terms undefined, your teachings will remain our guide. May our lesson today maybe made parallel with what you want us to become. And by the time our paths perpendicularly crossed, may we face you with confidence That you will shower us with your unending love and providence. AMEN.
- 3. This lesson seeks to answer the question: “How can we establish parallelism or perpendicularity of lines?”
- 4. Activity 1: Optical Illusion • Can you see straight lines in the picture? ________ • Do these lines meet/intersect? ________ • Are these lines parallel? Why? ________ • Are the segments on the faces of the prism below parallel? Why? ________
- 5. Activity 1: Optical Illusion • What can you say about the edges of the prism? ________ • Describe the edges that intersect and the edges that do not intersect. ________
- 6. Activity 2: Agree or Disagree. Read each statement under the TOPIC column and write A if you agree with the statement; otherwise, write D. Before-Lesson Response TOPIC: Parallelism and Perpendicularity 1. Lines on the same plane that do not intersect are parallel lines. 2. Skew lines are coplanar. 3. Transversal is a line that intersects two or more lines. 4. Perpendicular lines are intersecting lines. 5. If two lines are parallel to a third line, then the two lines are parallel. 6. If two lines are perpendicular to the same line, then the two lines are parallel. 7. If one side of a quadrilateral is congruent to its opposite side, then the quadrilateral is a parallelogram. 8. Diagonals of a parallelogram bisect each other. 9. Diagonals of a parallelogram are congruent. 10. Diagonals of a parallelogram are perpendicular.
- 9. Activity 3: Name it: • Complete the table below using the given figure as your reference: • Given that the angle number 6 is equal to 71.04◦, find the other angles. (Hint: 180.00 will be used instead of 180) 1 & 5, 2&6, 3&7, 4&8 3&6, 4&5 1&8, 2&7 3&5, 4&6 1&7, 2&8
- 12. Perpendicular distance between parallel lines
- 13. GET READY!
- 15. 1 and 5, 2 and 6, 3 and 7, 4 and 8 4 and 5, 3 and 6 1 and 8, 2 and 7 4 and 6, 3 and 5 1 and 7, 2 and 8
- 16. Review on Parallel lines • Using the figure in Individual Work A p. 301 of your book, Identify the following (for 65 points). Write your answers in your notebook • 2 sets of corresponding angles • 2 sets of alternate interior angles • 2 sets of alternate exterior angles • 2 sets of interior side of the transversal • 2 sets of exterior side of the transversal • B. Solve: If <10 = 20º find angles 1,2,3,4,9,11, and 12 If < 13 = 17.01º find angles 5,6,7,8,14,15 and 16
- 18. Given 1 and 3 Definition of Parallel lines