Home
Class 14
MATHS
Consider the following statements : 1....

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 ?

A

1 only

B

2 only

C

2 and 3

D

1 and 3

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

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

Prove that Two right triangles are congruent if the hypotenuse and one side of one triangle are respectively equal to the hypotenuse and one side of the other triangle.

Right Hand Side Congruence Condition (RHS) Two right triangles are congruent if the hypotenuse and one side of one triangle are respectively equal to the hypotenuse and ne side of the other triangle.

''If two angles and a side of one triangle are equal to two angles and a side of another triangle then the two triangle must be congruent.'' Is the statement true ? Why?

Theorem 7.4 (SSS congruence rule) : If three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.

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,

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. In the figure, it is given that LM =MN, QM= MR, ML bot PQ and MN bot PR . then

If the area of two similar triangles are equal then the triangles are congruent.