<prompt> Hlalosa mofuta oa quadrilateral e entsoeng ka lintlha 1, 2, 3, 4, 5, 10, le 7, 6.nan  <response>: Instruction in English: Identify the type of quadrilateral formed by the points 1, 2, 3, 4, 5, 10, and 7, 6. . Response in English: The quadrilateral formed by the points 1, 2, 3, 4, 5, 10, and 7, 6 is a Trapezoid. Heres how I came to this conclusion: First, I calculated the slopes of the lines passing through each pair of points to determine the properties of their sides. The slope of the line through 1,2 and 3,4 is 4-23-1 1. The slope of the line through 3,4 and 5,10 is 10-45-3 3. The slope of the line through 5,10 and 7,6 is 6-107-5 -2. The slope of the line through 7,6 and 1,2 is 2-61-7 23. Since the slopes of two sides are not equal and the slopes of the other two sides are not equal either, the figure is not a parallelogram, rectangle or a square. However, since the product of the slopes of the lines through the points 1,2 and 3,4 and through the points 5,10 and 7,6 is -2, they are perpendicular which means those sides are parallel. As the quadrilateral has one pair of parallel sides, it is a trapezoid. . Response in Sesotho: Karolo ea quadrilateral e entsoeng ke lintlha 1, 2, 3, 4, 5, 10, le 7, 6 ke Trapezoid. Mona ke kamoo ke fihletseng qeto ena: Pele, ke ile ka bala matsoapo a mela e fetang para e ngoe le e ngoe ea lintlha ho fumana hore na mahlakore a bona ke afe. Moepa oa mola ho feta 1,2 le 3,4 ke 4-23-1 1. Moepa oa mola ho feta 3,4 le 5,10 ke. 10-45-3 3. Moepa oa mola ho ea ho 5,10 le 7,6 ke 6-107-5 -2. Moepa oa mola ho ea ho 7,6 le 1,2 ke 2-61-7 23. Kaha matsoapo a mahlakore a mabeli ha a lekane me matsoapo a mahlakoreng a mang a mabeli ha a lekane, setšoantšo ha se parallelogram, rectangle kapa square. Leha ho le joalo, kaha sehlahisoa sa matsoapo a mela ka lintlha 1,2 le 3,4 le ka lintlha 5,10 le 7,6 ke -2, li perpendicular e bolelang hore mahlakore a bapile. Joalo ka ha quadrilateral e na le para e le ngoe ea mahlakore a bapileng, ke trapezoid. 