Question

Create an original design using only the figures given (the pages at the end of this portfolio contain shapes that can be printed). The side lengths of all of the shapes are the same so that you can line up their edges to create a tiling. Your design can use any combination of shapes, but you must use at least one of each shape in your design. The design you create can be as simple or as complex as you want. It can have a repeating pattern or it can be random, but it must fit on a single sheet of paper. Your design can make a recognizable shape or it can be abstract. Use your imagination! Record your answers below. Question 1 Describe your design in words. What shapes did you use? Does it have a repeating pattern? Is it abstract or does it resemble something recognizable

Answer 1

[AI-generated answer — Bot GPT 3.5]

My design is a symmetrical pattern using a combination of triangles, squares, and hexagons. The shapes are arranged in a repeating pattern that creates a starburst effect. The design is abstract and does not resemble anything specific.

Answer 2

What is the area formula for a trapezoid

Answer 3

[AI-generated answer — Bot GPT 3.5]

The formula for the area of a trapezoid is:

Area = 0.5 * (a + b) * h

where a and b are the lengths of the two parallel sides of the trapezoid, and h is the height (perpendicular distance between the two parallel sides).

Answer 4

What is the area formula for a triangle

Answer 5

[AI-generated answer — Bot GPT 3.5]

The formula for the area of a triangle is:

Area = 0.5 * base * height

where the base is the length of the triangle's base and the height is the perpendicular distance from the base to the opposite vertex.

Answer 6

What is the area formula for a right triangle

Answer 7

[AI-generated answer — Bot GPT 3.5]

The formula for the area of a right triangle is the same as the general formula for the area of a triangle:

Area = 0.5 * base * height

where the base and height are the same as in a general triangle; however, in the case of a right triangle, the height will be one of the legs of the triangle.

Answer 8

could u give an example of

Answer 9

[AI-generated answer — Bot GPT 3.5]

Sure!

Let's say we have a right triangle with one leg measuring 6 units and the other leg measuring 8 units.

To find the area of this right triangle, we can use the formula:

Area = 0.5 * base * height

In this case, since the base and height are the legs of the right triangle, we have:
base = 6 units
height = 8 units

Plugging these values into the formula, we get:
Area = 0.5 * 6 * 8
Area = 24 square units

Therefore, the area of the right triangle with legs measuring 6 units and 8 units is 24 square units.

Answer 10

what do you mean leg? like sides?

Answer 11

[AI-generated answer — Bot GPT 3.5]

In a right triangle, the two sides that form the right angle are called the legs. The side opposite the right angle is called the hypotenuse. So in a right triangle, the legs are the two shorter sides that meet at the right angle.