Question

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

Explanation:

• A rhombus is a quadrilateral with all sides equal in length.
• When two equilateral triangles (where all sides are equal) are taped together, the resulting quadrilateral has all four sides equal (since the sides of the equilateral triangles form the sides of the quadrilateral).
• A rectangle has four right - angles (90 degrees). The angles of an equilateral triangle are 60 degrees, so when two are joined, the angles of the quadrilateral are 60 and 120 degrees (not 90), so it's not a rectangle.
• A trapezoid has only one pair of parallel sides. In the figure formed by two equilateral triangles, there are two pairs of parallel sides (by the properties of the shape formed from congruent equilateral triangles), so it's not a trapezoid.
• A square has four right - angles (90 degrees) and all sides equal. Since the angles of the quadrilateral formed are 60 and 120 degrees (from the 60 - degree angles of the equilateral triangles), it's not a square.

Answer:

rhombus