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19. Complete the two-column proof below. Given: AB≅CB,AD≅CCD​; Prove: △ABD≅∠CBD,∠ADB≅∠CDB Prove: △ABD≅△CBD 20. Write a coordinate proof to prove that in an isosceles right triangle, the segment from the vertex of the right angle to the midpoint of the hypotenuse is perpendicular to the hypotenuse. Given: isosceles right △ABC with right angle ∠ABC, M is the midpoint of AC. Prove: BM⊥AC. The Midpoint Formula shows that the coordinates of M are: The slope of AC is: The slope of BM is: The product of the slopes is , so
21. Use the diagram to find each measure. Please justify your solution with a postulate or theorem. A. m∠1140∘ B. m∠240∘ C. m∠365∘ D. m∠4 E. m∠5∥5∘
Justify your answer. 23. Determine whether each pair of triangles is congruent. If yes, include the theorem or postulate that applies and describe the series of rigid motions that map one triangle onto the other. A. C. B. D.