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Question
for a craft project, two equilateral triangles are taped together to create a quadrilateral. what is the quadrilateral? rhombus rectangle trapezoid square
Brief Explanations
- Recall the properties of an equilateral triangle: all sides are equal.
- When two equilateral triangles are taped together, the resulting quadrilateral has all four sides equal (since each side of the quadrilateral is a side of one of the equilateral triangles).
- A rhombus is a quadrilateral with all four sides equal in length. A rectangle requires right angles (not guaranteed here as equilateral triangles have 60° angles, and combining two won't necessarily give 90° angles). A trapezoid has only one pair of parallel sides (here, we have two pairs from the triangles, but the key is side lengths). A square requires all sides equal AND right angles, which isn't guaranteed from two equilateral triangles. So the quadrilateral is a rhombus.
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A. rhombus