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1. If the trapezoid represents 1 whole, what do each of the following shapes represent? Be prepared to show or explain your reasoning.
1. 1 triangle
2. 1 rhombus
3. 1 hexagon

only question 1

1 If The Trapezoid Represents 1 Whole What Do Each Of The Following Shapes Represent Be Prepared To Show Or Explain Your Reasoning 1 1 Triangle 2 1 Rhombus 3 1 class=

Sagot :

Answer:

Part(A): 1 triangle represents [tex]\dfrac{1}{3}[/tex] of whole.

Part(B): 1 rhombus represents [tex]\dfrac{2}{3}[/tex]  of whole.

Part(C): 1 hexagon represents 2 whole.

Step-by-step explanation:

Consider the provided figure.

Here, it is given that the trapezoid represents 1 whole.

Part 1. Consider figure 1.  

3 triangles can be group into a whole trapezoid.  

[tex]3\times \frac{1}{3}=1[/tex]

Hence, 1 triangle represents [tex]\dfrac{1}{3}[/tex] of whole.

Part 2.

Consider figure 2.  

Here, in figure 2 if we put 1 rhombus on the given trapezoid, we will be left with the shape is a triangle, which is [tex]\dfrac{1}{3}[/tex]  of the trapezoid. Also, the triangle is [tex]\dfrac{1}{2}[/tex] of the rhombus.

We know that 3 triangles can be fit into 1 trapezoid and 2 triangles can be fit on a rhombus

Hence, 1 rhombus represents [tex]\dfrac{2}{3}[/tex]  of whole.

Part 3.

Consider figure 3.  

2 trapezoid = 1 hexagon  

Hence, 1 hexagon represents 2 whole.

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