 | University of St. Andrews - 1898 - 610 pages
...seven questions in Geometry and five in Trigonometry to be attempted.) 1. Prove that parallelograms on the same base and between the same parallels are equal in area, and hence show that a similar proposition is true of triangles. Construct a rectilineal figure... | |
 | 666 pages
...equal, the corresponding intercepts on any other transversal are also equal. Areas * 1. Parallelograms on the same base and between the same parallels are equal in area. 2. Triangles on the same base and between the same parallels are equal in area. 3. Triangles... | |
 | Mathematics - 1965 - 232 pages
...is substituted for the rectangle. Thus we may prove directly the following theorem : Parallelograms on the same base and between the same parallels are equal in area. EXERCISE 7 (a) 1. Find the areas of the following parallelograms: (a) Base 2-5 in., altitude... | |
 | G. P. West - Geometry - 1965 - 362 pages
...are the base and height ; from this we deduce a theorem analogous to the theorem that parallelograms on the same base and between the same parallels are equal in area. Parallelepipeds on equal bases and of the same height are equal in volume. Similarly if we had... | |
 | 356 pages
...results are at once deduced : (i) The area of a parallelogram = height x base. (ii) Parallelograms on the same base and between the same parallels are equal in area. II. The area of a triangle = Iialf that of a rectangle on the same base and of the same height.... | |
 | 464 pages
...of a straight line AB; join DQ, CP: prove that CDQP is a parallelogram. 4. (a) Prove that triangles on the same base and between the same parallels are equal in area. (6) FGH is a triangle, K is the mid.point of GH, and P is any point on FK ; prove that the triangles... | |
 | 100 pages
...equal in area to the parallelogram and having for one of its diagonals the line AC. [Hint. Triangles on the same base and between the same parallels are equal in area.] 7. (a) If the base of a triangle is 2 in. and its altitude is 1 J in., state clearly what is... | |
 | Insurance Institute of Toronto - 1904 - 248 pages
...exterior angle shall be greater than either of the interior opposite angles. (1-16.) 2. Parallelograms on the same base and between the same parallels are equal in area. (1-35.) 3. Describe a parallelogram that shall be equal to a given triangle and have one of its... | |
| |
Prove that parallelograms on the same base and between the same parallels are equal in area. 
