All isosceles triangle are similar.

True

No worries! We‘ve got your back. Try BYJU‘S free classes today!

False

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is B False
Identify the required condition.
For two triangles to be similar, the internal angles must be equal and the sides of the triangle must be in proportion.
Two isosceles triangles are formed with two different internal angles.
Hence, isosceles triangles cannot be similar.

Suggest Corrections

Similar questions

State, true or false :
(i) Two similar polygons are necessarily congruent.
(ii) Two congruent polygons are necessarily similar.
(iii) All equiangular triangles are similar.
(iv) All isosceles triangles are similar.
(v) Two isosceles-right triangles are similar.
(vi) Two isosceles triangles are similar if an angle of one is congruent to the corresponding angle of the other.
(vii) The diagonals of a trapezium divide each other into proportional segments.

All equilateral triangle are isosceles, but not all isosceles are equilateral. why ?

Fill in the blanks using correct word given in the brackets:−

(i) All circles are __________. (congruent, similar)

(ii) All squares are __________. (similar, congruent)

(iii) All __________ triangles are similar. (isosceles, equilateral)

(iv) Two polygons of the same number of sides are similar, if (a) their corresponding angles are __________ and (b) their corresponding sides are __________. (equal, proportional)

Q. Fill in the blanks using the correct word given in brackets :

(i) All circles are ......... (congruent, similar).
(ii) All squares are ........(similar, congruent).
(iii) All .......... triangles are similar (isosceles, equilateral):
(iv) Two triangles are similar, if their corresponding angles are .......... (proportional, equal)
(v) Two triangles are similar, if their corresponding sides are ........... (proportional, equal)
(vi) Two polygons of the same number of sides are similar, if (a) their corresponding angles are and (b) their corresponding sides are ...........(equal, proportional).

Q. All isosceles triangles are similar.

Join BYJU'S Learning Program

All isosceles triangle are similar.

The correct option is B FalseIdentify the required condition.For two triangles to be similar, the internal angles must be equal and the sides of the triangle must be in proportion. Two isosceles triangles are formed with two different internal angles. Hence, isosceles triangles cannot be similar.

The correct option is B False
Identify the required condition.
For two triangles to be similar, the internal angles must be equal and the sides of the triangle must be in proportion.
Two isosceles triangles are formed with two different internal angles.
Hence, isosceles triangles cannot be similar.