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Solved Examples
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fff Given a regular hexagon with one of its base as 8 cm, it was cut into co-triangles with center O. What is the sum of the length of all the midsegments of all the triangles? fff View Solution
fff 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.
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fff Find the value of z from the figure.
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fff 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¯. fff View Solution
fff 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.
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fff Find the value of (x² + 2).
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fff XY¯ is the length of the midsegment drawn for the two triangles. Find the length of FY¯.
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fff Find the length of midsegment EF¯.
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fff Find the value of DE¯.
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fff 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¯. fff
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fff AB¯ || DE¯. D is the midpoint of AC¯. Find the coordinates of D and E.
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fff Find the point F from the figure if AB¯ || GH¯. fff View Solution
fff 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. fff View Solution
fff Find the value of x from the figure.
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fff Find the value of x from the given figure. fff View Solution
fff What type of triangle is formed by joining the midsegments of an equilateral triangle? fff View Solution
fff Find the value of x from the figure. fff View Solution
fff Find the value of x from the figure.
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fff Find the values of x and y from the following equilateral triangle. fff View Solution
fff In the given triangle if FG¯ is midsegment of ΔAED and DE¯ is the midsegment of ΔACB, then find the value of x.
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fff If x is the length of MN¯ which is the midsegment of ΔABC, then find the value of BC¯. fff View Solution
fff Given a regular hexagon with one of its base as 4 cm, it was cut into co-triangles with center O. What is the sum of the length of all the midsegments of all the triangles? fff View Solution
fff The length of the diagonal of a square is 12 in. Two diagonals intersect to form four congruent triangles. Find the length of the mid-segment of any triangle parallel to the side of the square. fff View Solution
fff Find the value of x from the figure if OC = CE and OD = DF. fff View Solution
fff Find the values of x and y from the given figure.
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fff 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? fff View Solution
fff 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? fff View Solution
fff 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.
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