Question

Are all equilateral triangles similar? ( Ignore the answer I selected )

Answer 1

Answer:

The correct option is D. I and III only.

So the true statements are

I.   If two triangles are similar, they have the same shape

III. All equilateral triangle are similar.

Step-by-step explanation:

Explanation:

Similar:

In geometry similar means identical so triangles are similar means they the same shape.

For two triangles to be similar we require

• Minimum two angles should be congruent.
• Corresponding sides should be in proportion.
• Two corresponding sides be in proportion and one angle between them should be congruent.

All equilateral triangles are similar because equilateral triangles measure of each angle is 60 degree.

So,we can have different size side of an equilateral triangle.

So the true statements are

I.   If two triangles are similar, they have the same shape

III. All equilateral triangle are similar.

If two triangles are similar they have the same size .False Statement

If two triangles are similar they are not in same size

All Isosceles triangle are similar.False Statement:

All Isosceles triangle are  not similar because angles are not equal