If hypotenuse and an acute angle of one right triangle are equal to the hypotenuse and an acute angle of another right triangle, then the triangles are congruent

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 ?

If in two right triangles, the hypotenuse and one side of one triangle are equal to the hypotenuse and one side of the other triangle, then the two triangles are congruent. 1. PL is an altitude from P of DeltaPQR on QR such that QL = LR. Then,

In two right triangles,one side and an acute angle of one triangle are equal to one side and the corresponding acute angle of the other triangle.Prove that the two triangles are congruent.

In two right triangles,one side and an acute angle of one triangle are equal to one side and the corresponding acute angle of the other triangle.Prove that the two triangles are congruent.

Two acute angles of a right triangle are equal. Find the two angles.

Which of the following statements are true (T) and which are false (F): Side opposite to equal angles of a triangle may be unequal. Angle opposite to equal sides of a triangle are equal. The measure of each angle of an equilateral triangle is 60^0 If the altitude from one vertex of a triangle bisects the opposite side, then the triangle may be isosceles. The bisectors of two equal angles of a triangle are equal. If the bisector of the vertical angle of a triangle bisects the base, then the triangle may be isosceles. The two altitudes corresponding to two equal sides of a triangle need not be equal. If any two sides of a right triangle are respectively equal to two sides of other right triangle, then the two triangles are congruent. Two right triangles are congruent if hypotenuse and a side of one triangle are respectively equal to the hypotenuse and a side of the other triangle.

In two right triangles one side an acute angle of one are equal to the corresponding side and angle of the other.Prove that the triangles are congruent.

One of the acute angles of a right triangle is 36^(@) ,find the other