If the hexagon represents one whole, what fractions do the trapezoid, the parallelogram, and the triangle represent? explain how you found your answers.
can anybody please explain this how to tell to my son.
if the hexagon is 1whole,what fraction of the whole in triangle
To explain the fractions represented by the trapezoid, parallelogram, and triangle in relation to the hexagon, you can follow these steps:
1. Start by visualizing the given hexagon. Explain to your son that the hexagon represents the whole or one whole unit.
2. Identify the shapes of the trapezoid, parallelogram, and triangle within the hexagon. Point out each shape individually and make sure your son can recognize them.
3. Focus on the trapezoid first. Ask your son to identify how many trapezoids can fit into the hexagon. Based on the visual representation, it should be clear that there are two trapezoids.
4. Explain that if there are two trapezoids within the hexagon and the hexagon represents one whole unit, then each trapezoid represents a fraction of the whole. Divide one by the number of trapezoids (2) to find the fraction represented by each trapezoid. The fraction would be 1/2 since each trapezoid represents half of the hexagon.
5. Repeat the same steps for the parallelogram and the triangle. Find the number of each shape within the hexagon and divide one by that number to obtain the fraction represented.
Once your son understands the concept, you can tell him that the trapezoid represents 1/2, the parallelogram represents 1/6 (since there are six parallelograms in the hexagon), and the triangle represents 1/3 (since there are three triangles in the hexagon).
To find the fractions that the trapezoid, parallelogram, and triangle represent, we can start by understanding what each shape represents in relation to the whole hexagon.
First, let's look at the trapezoid. The trapezoid can be visualized by dividing the hexagon into two congruent triangles and a rectangle. One way to find the fraction it represents is by comparing its area to the area of the whole hexagon. To do this, you can calculate the area of the trapezoid and then divide it by the area of the hexagon.
To find the area of the trapezoid, you can use the formula:
Area = (a + b) * h / 2, where a and b are the lengths of the parallel sides and h is the height.
Once you have the area of the trapezoid, you can divide it by the area of the hexagon to find the fraction represented.
Next, let's consider the parallelogram. To find the fraction it represents, we can envision dividing the hexagon into three parallelograms. Again, we can compare the area of the parallelogram to the area of the hexagon. Calculate the area of the parallelogram and divide it by the area of the hexagon.
Finally, let's determine the fraction represented by the triangle. Similar to the previous shapes, we divide the hexagon into six congruent triangles. Find the area of one triangle and divide it by the area of the hexagon to get the fraction represented.
To summarize:
1. For the trapezoid, find its area and divide it by the area of the hexagon.
2. For the parallelogram, calculate its area and divide it by the area of the hexagon.
3. For the triangle, determine the area of one triangle and divide it by the area of the hexagon.
By following these steps, you can find the fractions that each shape represents in relation to the whole hexagon.