Question

All four triangles in the rhombus are congruent to each other

A Always
B sometimes
C never true

Answer 1

The statement is always true. In a rhombus, all four triangles formed by the diagonals are congruent to each other.

Step-by-step explanation:

The statement is Always true.

In a rhombus, all four sides have equal length. When we draw the diagonals of the rhombus, it forms four congruent triangles. This is because the diagonals of a rhombus bisect each other and create congruent pairs of triangles.

For example, if we label the rhombus ABCD, the diagonals will be AC and BD. These diagonals will bisect each other at point O. Triangle AOB and triangle COD will be congruent, as well as triangle AOC and triangle BOD. Therefore, all four triangles in the rhombus are congruent to each other.