![]() ![]() The teacher's comment, "Yourĭefinition is kind of correct, "but it lacks mathematical precision." You know, what does he mean by a T? What does it mean to "make a T"? Shriya's definition is much more precise. When you imagine perpendicular lines, you could imagine them kind of forming a cross or, I guess, part of. Abhishek says, "l and m are perpendicular "if they meet at a single point, "such that the two lines make a 'T'." Well, that's, in a hand-wavy I would say, "Woohoo! Nice Work! "I couldn't have said it better myself." Now let's just make sure this comment matches for this definition. Their point of intersection "is a right angle." If the meet at one point "and one of the angles at Plane and they never intersect, then you are talking about parallel lines. ![]() "Were you thinking of parallel lines?" Because that's looks like ![]() So that is not going to be, that's not going to be correct. In fact, perpendicular linesįor sure will intersect. M, "are perpendicular "if they never meet." Well, that's not true. So Ruby's definitionįor being perpendicular: "l and m," lines l and It means to be perpendicular, and then there's these teacher's comments that we can move around. Three different students attempt definitions of what "Can you match the teacher'sĬomments to the definitions?" All right. "Three students attempt "to define what it means for lines l and m "to be perpendicular. And so, to get some practice being precise and exact with our language, I'm going to go through some exercises from the Geometric Definitions Exercise on Khan Academy. Things about the world, we have to be very careful, very precise, very exact with our language so that we know what we're proving and we know what we're assuming and what type of deductions we are making as we prove things. ![]() What geometry is about is proving things about the world. ![]()
0 Comments
Leave a Reply. |
Details
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |