Question

name __________ date ________1. magnus covers the same shape with triangles, rhombuses, and trapezoids.a. how many triangles will it take to cover the shape?_ trianglesb. how many rhombuses will it take to cover the shape?_ rhombusesc. magnus notices that 3 triangles from part (a) cover 1 trapezoid. how many trapezoids will you need to cover the shape below? explain your answer.___ trapezoids

Explanation:

Step1: Count triangles per half-shape

The top half has 3 triangles. The full shape is 2× this half.
Expression: $3 \times 2 = 6$

Step2: Count rhombuses per half-shape

The top half has 2 rhombuses. The full shape is 2× this half.
Expression: $2 \times 2 = 4$

Step3: Relate triangles to trapezoids

Total triangles = 6. 1 trapezoid = 3 triangles.
Expression: $\frac{6}{3} = 2$

Answer:

a. 6 triangles
b. 4 rhombuses
c. 2 trapezoids; The full shape requires 6 triangles, and since 3 triangles make 1 trapezoid, dividing 6 by 3 gives 2 trapezoids needed.