Question

For a craft project, two equilateral triangles are taped together to create a quadrilateral. what is the quadrilateral? rhombus

Answer 1

Answer: The answer is a parallelogram.

Step-by-step explanation:  Given that two equilateral triangles are taped together to create a quadrilateral in a craft project. We are to decide the type of quadrilateral formed.

As shown in the attached figure, two equilateral triangles 1 and 2 are taped together to form the quadrilateral ABCD.

In quadrilateral ABCD, we have

AB = CD = BC = DA.

Also, ∠ABC = ∠ADC = 60° and ∠BAD = ∠BCD = 60° + 60° = 120°.

Hence,  ∠ABC + ∠BAD = ∠ADC+ ∠BCD = 180°, which implies that AB ║CD and BC ║ AD.

Therefore, the quadrilateral ABCD will be a parallelogram.

Thus, the answer is a parallelogram.

Answer 2

The answer is Rhombus because it is two equilateral triangles that can create a quadrilateral. A quadrilateral has exactly four sides and it is also a polygon. A rhombus has four equal sides and it is any parallelogram with equal sides including a square. A rhombus is like a diamond. In your question, the craft project that has a two equilateral triangle that tapes together and creates an equilateral, I picture it as a diamond and the diamond is including in the family of a rhombus. All side have equal length, opposite side is parallel and the other opposite angles are equal.