Question

Maria drew a diaGONAL In a romance to form two triangles which term can she use to Classified each triangle exPLAIN
A) Acute A Rhombus Always has two acute angles so the three angles in each triangle must all be acute
B) Equilateral Since A rhombus always has four equal size each triangle must have three equal sides
C)ISOSCELES Since a rhombus always has four equal sides each triangle must have two equal sides
D) Obtuse A rhombus always has two obtuse angles

Answer 1

To classify the triangles formed by drawing a diagonal in a rhombus, let's analyze the properties of a rhombus and the resulting triangles:

1. **A rhombus has four equal sides** and opposite angles that are equal. This means that the angles can either be acute or obtuse.

2. When a diagonal is drawn in a rhombus, it divides the rhombus into two triangles. Each triangle has two sides that are equal (the two sides of the rhombus that meet at the vertex of the triangle) and one side that is the diagonal.

Now, let's evaluate each option:

A) **Acute**: This is not necessarily true. A rhombus can have obtuse angles, so the resulting triangles may not be acute. Incorrect.

B) **Equilateral**: A rhombus does not always create triangles with equal sides. The triangles formed may have two equal sides but not necessarily three equal sides. Incorrect.

C) **Isosceles**: This is correct. Each triangle formed by the diagonal of a rhombus will have two sides that are equal (the sides of the rhombus) and one base side (the diagonal), making each triangle isosceles.

D) **Obtuse**: While it's true that a rhombus can have obtuse angles, this statement does not correctly classify the triangles generally, as not every triangle formed will be obtuse.

Therefore, the correct answer is: **C) ISOSCELES**. Since a rhombus has four equal sides, each triangle must have two equal sides.