triangles on the same base and between the same parallels are equal in area and its converse


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Converse of Theorem 2
Statement - If a transversal intersects two lines in such a way that a pair of alternate interior angles are equal, then the two lines are parallel..
The base is equal to its corresponding height in a triangle. Find the ..
The base is equal to its corresponding height in a triangle. Find the base length of the triangle, if its area is 50 in.². => 9 in. or 8 in. or 11 in. or 10 in...
The base is equal to its corresponding height in a triangle. Find the ..
The base is equal to its corresponding height in a triangle. Find the base length of the triangle, if its area is 98 in. 2 . => 8 in. or 15 in. or 14 in. or 13 in...
Find the locus of the vertex of a triangle having fixed base and const..
Find the locus of the vertex of a triangle having fixed base and constant area in a plane. => A line passing through the vertex not on the base, and parallel to the base. or The in-circle of the triangle. or The circumcircle of t..
If a small part is cut off at the top of a cone by a plane parallel to..
If a small part is cut off at the top of a cone by a plane parallel to its base, what would be the surface area of the resultant cone? => Surface area of the resultant cone is equal to the surface area of the original cone or Surface ..
What is the area of a triangle with a height of 2y - 5 and base equal ..
What is the area of a triangle with a height of 2 y - 5 and base equal to 2 times the height of the triangle? => 4 y 2 - 20 y + 5 or 4 y 2 - 20 y + 25 or 4 y 2 - 10 y + 25 or 4 y 2 - 10 y + 5..
Triangles - free exam paper questions
image . (Since opposite sides are parallel) (Opposite angles of a parallelogram are equal0 Similarly are equiangular and hence they are simila..
Theorem3
The area of a triangle is half that of a parallelogram standing on the same base and between the same parallels..
Summary
Parallelograms on the same base and between the same parallels are equal in area..
Midpoint Theorem Summary
Summary - Midpoint Theorem The straight line joining the mid-points of two sides of a triangle is parallel to and equal to half the third side. Converse of mid point theorem - The straight line drawn through the mid point of one side of a triangle, ..
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