Express the following statements in symbolic form :
(1) The drug is effective though it has side effects.
(2) Either we play football or go cycling.
(3) Two triangles have equal areas only if they are similar.

Write the following statements in symbolic form and write their negatins : (1) Mangoes are delicious, but expensive. (2) A person is rich if and only if he is a software engineer. (3) If diagonals of a parallelogram are perpendicular, then it is a rhombus. solution :

Consider the following statements : 1. If two triangles are equiangular, then they are similar. 2. If two triangles have equal area, then they are similar. Which of the statements given above is/are correct?

Write the truth value (T/F) of each of the following statements: (1)Two polygons are similar if their corresponding angles are proportional. (2)Two triangles are similar if their corresponding sides are proportional. (3) Two triangles are similar if their corresponding angles are proportional.

Consider the following statements : A unique triangle can be formed if 1. its two sides and included angles are given. 2. its three angles are given 3. its two angles and included sides are given. Among the given statements, true statements are

Consider the following statements : 1. Congruent triangles are similar. 2. Similar triangles are congruent. 3. If the hypotenuse and a side of one right triangle are equal to the hypotenuse and a side of another right triangle respectively, then the two right triangles are congruent. Which of the statements given above is/are correct ?

Consider the following statements : Two triangles are said to be congruent, if 1. Three angles of one triangle are equal to the corresponding three angles of the other triangle. 2. Three sides of one triangle are equal to the corresponding three sides of the other triangle, 3. Two sides and the included angle of one triangle are equal to the corresponding two sides and the included angle of the other triangle. 4. Two angles and the included side of one triangle are equal to the corresponding two angles and the included side of the other triangle. Which of the above statements are correct ?