I need help to solve those answers about Math Polygons 1, 2, 3, 4, 5, 7, 9

1.Examine the examples and non-examples of convex and concave polygons.

Draw a shape that would fit in the convex polygons category and another that would fit in the concave polygons category.

2.One way to learn about the characteristics of polygons is to ask children to a sorting activity where they sort shapes into polygons and non-polygons. As the teacher, you will need to choose the examples and non-examples. Make a list or sketch what your examples and non-examples will include.

3.For each description, draw the figure if possible. If not possible, explain why not:

a)An irregular convex octagon

b)A concave triangle

c)A regular quadrilateral

d)A concave hexagon

e)A regular concave pentagon

4.In kindergarten and 1st grade, students learn to compose (i.e., combine) polygons to form new polygons. Show how two triangles can be composed to form a quadrilateral, and how that quadrilateral can then be composed with a copy of itself to form a hexagon.

5.In the early grades, students learn to compose polygons to form new polygons. In later grades, students start to think of irregular polygons as composite polygons, that is, as if they are made up of polygons with which we are more familiar. This way of thinking can be useful, for instance, when trying to find the area of an irregular polygon. Draw what the following figures might look like.

a)An irregular hexagon composed of two rectangles.

b)An irregular pentagon composed of three triangles.

c)An irregular octagon composed of three rectangles.

d)An irregular octagon composed of three triangles and a rectangle.

7.For each statement below, write whether it is true or false. If it is false, explain why.

a)All triangles are regular polygons.

b)Regular polygons cannot be concave.

c)Rectangles are regular polygons because they have equal angles

d)Hearts (Y) are polygons.

e)It is impossible for all interior angles of a polygon to be greater than 180 degrees.

9.Draw the figure described by the following statements:

a)Figure A

It is a regular pentagon.

It has a perimeter of 30 cm

b)Figure B

It is a concave heptagon.

It has two interior angles greater than 180o

c)Figure C

It is an irregular, concave pentagon.

It has congruent sides.