Question

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

rhombus
rectangle
trapezoid
square

Explanation:

Identify the properties of the component shapes

Using the Equilateral Triangle Properties knowledge point

$$ \text{Let the side length of each equilateral triangle be } s. $$

An equilateral triangle has three congruent sides of length \(s\).

Analyze the shared boundary

Using the Equilateral Triangle Properties knowledge point

$$ \text{The two triangles share a common side along the dashed line.} $$

Since the triangles are congruent equilateral triangles, the shared side also has length \(s\).

Determine the side lengths of the resulting quadrilateral

Using the Equilateral Triangle Properties knowledge point

$$ \text{The outer boundary of the quadrilateral consists of } 4 \text{ segments of length } s. $$

A quadrilateral with four congruent sides is defined as a rhombus.

Answer:

• rhombus (Correct answer)
• rectangle
• trapezoid
• square