Question

When you draw a diagonal of any parallelogram, what type of triangles do you get? Explain.

Option 1: Equilateral triangles
Option 2: Isosceles triangles
Option 3: Right triangles
Option 4: Scalene triangles

Answer 1

Drawing a diagonal in a parallelogram results in two isosceles triangles because each triangle shares two sides of equal length with the parallelogram.

Step-by-step explanation:

When you draw a diagonal of any parallelogram, the type of triangles you get are option 2: Isosceles triangles. A parallelogram has two pairs of opposite sides that are equal in length. When a diagonal is drawn, it splits the parallelogram into two triangles. Each triangle will share one side with the parallelogram, meaning they will each have two sides of equal length, which are the sides of the parallelogram. Therefore, the resulting triangles are isosceles, as they have at least two sides of equal length.