Figures on the Same Base and Between the Same Parallels
Figures on the Same Base and Between the Same Parallels
Figures on the same base and between the same parallels.: Two geometric figures are said to be on the same base and between the same parallels, if they have a common side (base) and the vertices (or the vertex) opposite to the common base of each figure lie on a line parallel to the base.Some example of the figures on the same base and between the same parallels are:
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| In the figure we have a triangle ABC and a triangle BCP. These two figures are on the same base BC and the vertex A of triangle ABC and vertex P of triangle BCP which are opposite to the base lie on the line AP which is parallel to BC. Hence this is an example Figures on the same base and between the same parallels. | In the figure we have a triangle ABE and a parallelogram ABCD.These two figures are on the same base AB and the vertices of parallelogram i.e. C ,D and the vertex of the triangle E which are opposite to the base lie on the line CD which is parallel to AB. Hence this is an example Figures on the same base and between the same parallels. |
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| In the figure we have two parallelograms ABCD and ABEF. These two figures are on the same base AB and the vertices of parallelogram ABCD i.e. C ,D and the vertices of parallelogram ABFE i.e. F, E which are opposite to the base lie on the line EF which is parallel to AB. Hence this is an example Figures on the same base and between the same parallels. | In the figure we have a trapezium ABPQ and a parallelogram ABCD.These two figures are on the same base AB and the vertices of trapezium ABPQ i.e. P, Q and the vertices of parallelogram ABCD i.e. C ,D which are opposite to the base lie on the line QC which is parallel to AB. Hence this is an example Figures on the same base and between the same parallels. |
Following are the examples of the figures which are on the same base but not between the same parallels:
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| In the figure we have a triangle ABC and a triangle BCP. These two figures are on the same base BC and the vertex A of triangle ABC and vertex P of triangle BCP which are opposite to the base do not lie on the line parallel to BC. Hence this is an example Figures on the same base but not between the same parallels. | In the figure we have two parallelograms ABDC and ABFE. These two figures are on the same base AB and the vertices of parallelogram ABCD i.e. C ,D and the vertices of parallelogram ABFE i.e. F, E which are opposite to the base do not lie on the line parallel to AB. Hence this is an example Figures on the same base but not between the same parallels. |
Following are the examples of the figures which are not on the same base but are between the same parallels:
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| In the figure we have a triangle EFG and a parallelogram ABCD.These two figures have different base AB and FG but the vertices of parallelogram ABCD i.e. C ,D and the vertex of the triangle E which are opposite to the base lie on the line CD which is parallel to AB and FG Hence this is an example Figures which are not on the same base but are between the same parallels. | In the figure we have two parallelograms ABCD and AGFE. These two figures have different base AB and AG but the vertices of parallelogram ABCD i.e. C ,D and the vertices of parallelogram AGFE i.e. F, E which are opposite to the base lie on the line CF which is parallel to AB. Hence this is an example Figures which are not on the same base but are between the same parallels. |
According to the figure identify that which figures are on same base and same parallel.
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| Right Option : C | |||
| View Explanation | |||
____________ Triangles having the same base and equal area lie between the same ____________. | |||
| Right Option : B | |||
| View Explanation | |||
Which of the following includes figures on the same base?
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| Right Option : D | |||
| View Explanation | |||
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