Dowodzenie w planimetrii- p. rozszerzony [3 najważniejsze zadania z #53]

This video presents the three most important command tasks in advanced-level planimetry. Want to complete more advanced-level planimetry exam questions? Check it out here: Law of Sines and Cosines: https://szkolamaturzystow.pl/kurs/kur... Properties of Figures Inscribed and Circumscribed on Circles: https://szkolamaturzystow.pl/kurs/kur... Similarity and Congruence: https://szkolamaturzystow.pl/kurs/kur... Geometry (Various Problems): https://szkolamaturzystow.pl/kurs/kur... I encourage you to like my Facebook fanpage to stay up to date with all the latest news. News:   / kursy.maturalne.lukasz.jarosinski   I encourage you to visit my website where you can visit my blog, book a place on the Matura exam course, or use my store: https://szkolamaturzystow.pl/ Check out my Instagram, where a series of notes for the Matura exam in mathematics is posted:   / lukasz_jarosinski   For information/registration for MATURA COURSES, write to: [email protected] Problem content: Task 1: In triangle ABC: |AB|=c, |AC|=b, |BC|=a and the measure of angle BAC is , and the measure of angle ABC is . Prove that if... Task 2: Given a rectangle ABCD. The incircle of triangle BCD is tangent to diagonal BD at point N. The incircle of triangle ABD is tangent to side AD at point M, and the center S of this circle lies on segment MN, as shown. Prove that |MN| = |AD|. Problem 3: Triangle ABC is acute-angled and |AC| is greater than |BC|. The bisector of angle ACB intersects side AB at point K. Point L is the image of point K with axial symmetry about the bisector of angle BAC, point M is the image of point L with axial symmetry about the bisector of angle ACB, and point N is the image of point M with axial symmetry about the bisector of angle ABC (see figure). Prove that a circle can be inscribed in quadrilateral KNML.