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10 Nov 2019
22. Let A = (2,4), B = (4,5), c = (6,1), T = (7,3), U = (9,4), and V = (11,0) Triangles ABC and TUV are specially related to each other. Make calculations to clarify this statement, and write a few words to dscribe what you discover 23. A triangle that has two sides of equal length is called isosceles. Make up an example of an isosceles triangle, one of whose vertices is (3,5). If you can, find a triangle that does not have any horizontal or vertical sides. 24. Una recently purchased two boxes of ten-inch candles- one box from a discount store, and the other from an expensive boutique. It so happens that the inexpensive candles last only three hours each, while the expensive candles last five hours each. One evening, Una hosted a dinner party and lighted two candles-one from each box- at 7:30 pm. During dessert, a guest noticed that one candle was twice as long as the other. At what time was this observation made? 8 25. Let A (1,5) and B (3,-1). Verify that P (8,4) is equidistant from A and B. Find at least two more points that are equidistant from A and B. Describe all such points. 26. Find two points on the y-axis that are 9 units from (7,5). 27. A lattice point is a point whose coordinates are integers. Find two lattice points that are exactly 13 units apart. Is it possible to find lattice points that are v15 units apart? Is it possible to form a square whose area is 18 by conn ecting four lattice points? Explain. Some terminology When two angles fit together to form a straight angle (a 180-degree angle, in other words), they are called supplementary angles, and either angle is the supplement be ot her When an angle is the same size as its supplement (a 90-degree angle). it. is
22. Let A = (2,4), B = (4,5), c = (6,1), T = (7,3), U = (9,4), and V = (11,0) Triangles ABC and TUV are specially related to each other. Make calculations to clarify this statement, and write a few words to dscribe what you discover 23. A triangle that has two sides of equal length is called isosceles. Make up an example of an isosceles triangle, one of whose vertices is (3,5). If you can, find a triangle that does not have any horizontal or vertical sides. 24. Una recently purchased two boxes of ten-inch candles- one box from a discount store, and the other from an expensive boutique. It so happens that the inexpensive candles last only three hours each, while the expensive candles last five hours each. One evening, Una hosted a dinner party and lighted two candles-one from each box- at 7:30 pm. During dessert, a guest noticed that one candle was twice as long as the other. At what time was this observation made? 8 25. Let A (1,5) and B (3,-1). Verify that P (8,4) is equidistant from A and B. Find at least two more points that are equidistant from A and B. Describe all such points. 26. Find two points on the y-axis that are 9 units from (7,5). 27. A lattice point is a point whose coordinates are integers. Find two lattice points that are exactly 13 units apart. Is it possible to find lattice points that are v15 units apart? Is it possible to form a square whose area is 18 by conn ecting four lattice points? Explain. Some terminology When two angles fit together to form a straight angle (a 180-degree angle, in other words), they are called supplementary angles, and either angle is the supplement be ot her When an angle is the same size as its supplement (a 90-degree angle). it. is
Sixta KovacekLv2
21 Apr 2019