Inequalities
If two sides of a triangle are unequal, then the greater angle is opposite to the greater side..
Sufficient conditions for a quadrilateral to be a parallelogram
We can state the defining property of a parallelogram as follows: "If a quadrilateral is a parallelogram, then its opposite sides are equal..
Theorem4
If a pair of opposite sides of a quadrilateral is equal and parallel, it is a parallelogra..
Theorem:
Prove that in any triangle, the sides of a triangle are proportional to the sines of the opposite angle..
Question 1
Question: Show that the quadrilateral, formed by joining the mid-points of the consecutive sides of a rectangle is a rhombus. Answer: Given: P, Q, R and S are the mid-points of AB, BC, CD and DA respectively. To prove: PQRS is a rhombus. Proof: Cons..
Question: Show that the quadrilateral, formed by joining the mid-points of the consecutive sides of a rectangle is a rhombus. Answer: Given: P, Q, R and S are the mid-points of AB, BC, CD and DA respectively. To prove: PQRS is a rhombus. Proof: Cons..Which statement is correct?
Which statement is correct? => A rectangle has four equal sides. or A rectangle has four different sides. or I don′t know. or Opposites sides of a rectangle are equal...
Which conjecture is true about parallelogram?
Which conjecture is true about parallelogram? => If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. or If only one pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a ..
Theorem 2(converse of Theorem 1)
If two angles of a triangle are equal, the sides opposite to these angles are equa..
Sine Formula (Sine Rule)
Prove that in any triangle, the sides of a triangle are proportional to the sines of the opposite angle..
Quadrilateral to be a Parallelogram
If both pairs of opposite sides of a quadrilateral are equal, then this could become sufficient Conditions for a quadrilateral to be a parallelogra..
Result
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