Similarity and Trigonometry Basics - Coordinate Geometry Applications
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Q. If the coordinates of a triangle's vertices are (0, 0), (4, 0), and (0, 3), what is the area of the triangle?
Q. If the coordinates of the vertices of a triangle are A(1, 1), B(4, 1), and C(1, 5), what is the perimeter of the triangle?
Q. If the coordinates of the vertices of a triangle are A(1, 2), B(4, 6), and C(1, 6), what is the base of the triangle AB?
Q. If the radius of a circle is 5, what is the area of the circle?
Q. If triangle DEF is similar to triangle XYZ and the length of DE is 6 and XY is 9, what is the ratio of their areas?
Q. If triangle DEF is similar to triangle XYZ and the ratio of their corresponding sides is 2:3, what is the ratio of their areas?
Q. If two triangles are similar, what is the ratio of their corresponding sides if the ratio of their areas is 9:16?
Q. In a right triangle, if one angle is 45 degrees, what are the measures of the other two angles?
Q. In a right triangle, if one leg is 6 and the other leg is 8, what is the length of the hypotenuse?
Q. In triangle DEF, if DE = 10, DF = 6, and EF = 8, which side is the longest?
Q. In triangle GHI, if GH = 8, HI = 6, and GI = 10, is triangle GHI a right triangle?
Q. In triangle JKL, if JK = 8, KL = 6, and JL = 10, is triangle JKL a right triangle?
Q. What is the area of a circle with a radius of 5?
Q. What is the length of the hypotenuse in a right triangle with legs of lengths 3 and 4?
Q. What is the perimeter of a rectangle with length 10 and width 4?
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