Proof:
AB=AD (sides of a square are equal) AB||DC (opposite sides of a square are parallel) ABCD is parallelogram with consecutive sides equal. ABCD is a rhombus. (by definition) Since the diagonals of a rhombus are perpendicular to eac..
AB=AD (sides of a square are equal) AB||DC (opposite sides of a square are parallel) ABCD is parallelogram with consecutive sides equal. ABCD is a rhombus. (by definition) Since the diagonals of a rhombus are perpendicular to eac..Proof:
Let AC and BD intersect at right angles at O. In triangles AOD and COD, AO=OC (diagonals bisect each other) OD=OD (common side) AD = DC i.e., the adjacent sides are equal. By definition, ABCD is a rhombus. Hence the theorem is prov..
Let AC and BD intersect at right angles at O. In triangles AOD and COD, AO=OC (diagonals bisect each other) OD=OD (common side) AD = DC i.e., the adjacent sides are equal. By definition, ABCD is a rhombus. Hence the theorem is prov..Rhombus
A rhombus is a parallelogram having all sides equal. Its other properties are: (i) The diagonals bisect each other at right angles. (ii) The diagonals bisect the angles at each vertex...
A rhombus is a parallelogram having all sides equal. Its other properties are: (i) The diagonals bisect each other at right angles. (ii) The diagonals bisect the angles at each vertex...Which of the following statements is/are incorrect?1. A square is a rh..
Which of the following statements is/are incorrect? 1. A square is a rhombus but a rhombus is not a square. 2. Both square and rhombus have four congruent sides. 3. Diagonals bisect each other at right angles in both square and rhombus. ..
Proof:
AB||CD (by definition of parallelogram) AC is a transversal. (alternate angles are equal in a parallelogram) Also AB=DC (opposite sides are equal in a parallelogram) Now in D AOB and D COD, AB=DC (opposite sides of parallelogram are equal) (proved b..
AB||CD (by definition of parallelogram) AC is a transversal. (alternate angles are equal in a parallelogram) Also AB=DC (opposite sides are equal in a parallelogram) Now in D AOB and D COD, AB=DC (opposite sides of parallelogram are equal) (proved b..Proof:
DF=BC (opposite sides of a parallelogram are equal) and DF||BC ----(ii) But DE = EF (proved above) And DF=DE+EF =2 DE and DF=BC (from (ii)) BC=2 DE Hence the theorem is prov..
DF=BC (opposite sides of a parallelogram are equal) and DF||BC ----(ii) But DE = EF (proved above) And DF=DE+EF =2 DE and DF=BC (from (ii)) BC=2 DE Hence the theorem is prov..Which one has four equal sides?
Which one has four equal sides? => Rectangle or Triangle or Circle or Square..
Which of the following statements is/are correct?1. In a rhombus and a..
Which of the following statements is/are correct? 1. In a rhombus and a square, the diagonals bisect each other. 2. In a rhombus and a square, the diagonals are perpendicular. 3. All the sides in a rhombus and a square are equal. 4. R..
Which statements help you conclude that the quadrilateral shown is a r..
Which statements help you conclude that the quadrilateral shown is a rhombus? I. It has four right angles. II. The measures of all its sides are equal. III. It has two pairs of parallel, opposite sides. IV. It has one pair of parallel opposite ..
How many in the set of figures shown has four equal sides?
How many in the set of figures shown has four equal sides? => 3 or 2 or 5..
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