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f Given a regular hexagon with one of its base as 8 cm, it was cut into cotriangles with center O. What is the sum of the length of all the midsegments of all the triangles? f

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f Vertex of a kite are (3, 0), (0, 4), ( 3, 0) and (0,  8). The mid points of the sides of the kite are joined to form a quadrilateral. Find the area of the quadrilateral. f

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f In the figure, AD¯ is the median of ΔABC. BE : ED = 2 : 3. P is the midpoint of AB¯ and PQ¯  BC¯. Find the length of PQ¯. f

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f Which of the following is/are correct? 1. Line joining the midpoints of the sides of a square form a square. 2. Line joining the midpoints of the sides of a rhombus form a rhombus. 3. Line joining the midpoints of the sides of a parallelogram form a parallelogram. 4. Line joining the midpoints of the sides of a rectangle form a rectangle. f

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f XY¯ is the length of the midsegment drawn for the two triangles. Find the length of FY¯. f

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f Which of the following statements are correct? 1. If BC¯  DE¯, then D and E are the midpoints of AB¯ and AC¯. 2. If the length of BC¯ is twice the length of DE¯, then D and E are the midpoints of AB¯ and AC¯. 3. If D is the midpoint of AB¯ and DE¯  BC¯, then E is the midpoint of AC¯. f

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f AB¯  DE¯. D is the midpoint of AC¯. Find the coordinates of D and E. f

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f Find the point F from the figure if AB¯  GH¯. f

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f The length of one diagonal of a rhombus is twice the other. Area of the rectangle obtained by joining the midpoints of the sides of the rhombus is 18 units. Find the length of the longer diagonal. f

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f What type of triangle is formed by joining the midsegments of an equilateral triangle? f

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f Find the values of x and y from the following equilateral triangle. f

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f In the given triangle if FG¯ is midsegment of ΔAED and DE¯ is the midsegment of ΔACB, then find the value of x. f

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f If x is the length of MN¯ which is the midsegment of ΔABC, then find the value of BC¯. f

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f Given a regular hexagon with one of its base as 4 cm, it was cut into cotriangles with center O. What is the sum of the length of all the midsegments of all the triangles? f

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f The length of the diagonal of a square is 12 in. Two diagonals intersect to form four congruent triangles. Find the length of the midsegment of any triangle parallel to the side of the square. f

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f Find the value of x from the figure if OC = CE and OD = DF. f

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f Find the values of x and y from the given figure. f

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f ABCD is a rhombus. E, F, G and H are the mid points of the sides.What can you say about the area of EFGH? f

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f ABCD is a quadrilateral. P, Q, R and S are the mid points of sides AB¯, BC¯, CD¯ and DA¯ respectively. What is the best description of PQRS? f

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f ABCD is a quadrilateral with vertices A(0, 0), B(4, 1), C(6, 8) and D(0, 3). P, Q, R and S are the midpoints of AB¯, BC¯, CD¯ and DA¯ respectively. Find the perimeter of PQRS. f

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