Symetria względem prostej - Matematyka Szkoła Podstawowa i Gimnazjum

In this video, I show how to check symmetry with respect to a line, explain the conditions of symmetry for pairs of points, and present the procedure for verifying whether figures are symmetrical with respect to a given line. I discuss three symmetry criteria: the perpendicularity of the segment connecting the points to the line, the position of the points on opposite sides of the line, and their equal distances from it. I show how to determine control points on angular and curved figures and how to test their mutual symmetry with respect to a line. Through examples, I demonstrate how to analyze congruent and non-congruent, identical and different figures — including triangles, rectangles, hexagons, letters, and hearts — and how to use a compass and a set square to confirm the symmetry conditions. CONTENTS: 1. Definition of symmetry with respect to a line 2. Conditions of symmetry for two points 3. Examining pairs of points: A and B 4. Examining pairs of points: C and D 5. Examining pairs of points: E and F 6. Summary of symmetry conditions for points 7. Determining control points on figures 8. Examining the symmetry of triangles with respect to a line 9. Examining the symmetry of rectangles – positive example 10. Examining the symmetry of rectangles – negative example 11. Congruent figures are not always symmetrical 12. Examining the symmetry of hexagons 13. Examining the symmetry of letters such as E 14. Examining the symmetry of rounded figures 15. Determining control points for letters and hearts 16. Symmetry of curved figures: S, heart, letter P 17. Using a set square and compass to study symmetry CONTINUATION OF THIS VIDEO here: [   • Dokończenie filmu p.t. Symetria względem p...  ](   • Dokończenie filmu p.t. Symetria względem p...  ) Find more in the following playlist: [   • SYMETRIE  ](   • SYMETRIE  ) EASY ACCESS to all my math lessons is available on my website: [www.matmagwiazdy.pl](http://www.matmagwiazdy.pl) On this channel, you will find the complete course – 100% of the lessons – in Mathematics for Primary School, High School, and Technical School. Good luck :) Tomasz D. Gwiazda **CHAPTERS** [00:00] Definition of symmetry with respect to a line [00:46] Conditions of symmetry for two points [01:34] Examining pairs of points: A and B [02:20] Examining pairs of points: C and D [02:55] Examining pairs of points: E and F [03:34] Summary of symmetry conditions for points [04:20] Determining control points on figures [05:03] Examining the symmetry of triangles with respect to a line [06:10] Examining the symmetry of rectangles – positive example [07:00] Examining the symmetry of rectangles – negative example [07:40] Congruent figures are not always symmetrical [08:14] Examining the symmetry of hexagons [08:56] Examining the symmetry of letters such as E [09:25] Examining the symmetry of rounded figures [10:08] Determining control points for letters and hearts [10:43] Symmetry of curved figures: S, heart, letter P [11:37] Using a set square and compass to study symmetry