Triangle Vertices and Polygon Properties

This video tutorial covers the basics of drawing polygons on a coordinate plane, including key vocabulary such as polygons and vertices. It provides step-by-step instructions for plotting vertices and connecting them to form shapes. The tutorial includes examples, such as finding a missing vertex of a square and determining the sixth vertex of a hexagon. Additionally, it explores a practical problem involving a travel path and area calculation on a coordinate plane.

What is a polygon?

• A three-dimensional shape

• A shape with curved lines

• A two-dimensional shape made of straight line segments

• A shape with only one side

How many vertices does a hexagon have?

• Four

• Seven

• Five

• Six

What is the significance of a vertex in a polygon?

• It is the midpoint of a side

• It is the center of the polygon

• It is the longest side of the polygon

• It is where two line segments meet

What is the first step in drawing a polygon on the coordinate plane?

• Connect the vertices

• Plot the vertices

• Draw the axes

• Label the points

In the example problem, what is the location of the fourth vertex of the square?

• (-2, 3)

• (2, -3)

• (-2, 1)

• (2, 1)

Which point completes the hexagon in the additional example?

• (-1, 6)

• (-3, 5)

• (-3, 4)

• (-5, 5)

What is the main consideration when determining if a point can be the third vertex of a triangle?

• The point must be on the x-axis

• The point must not align with the other two points

• The point must be at the origin

• The point must be on the y-axis

Which of the following points would not form a triangle with the given vertices?

• (3, 4)

• (4, 7)

• (0, 0)

• (5, 5)

What are the coordinates of Cindy's home?

• (1, 0)

• (0, 0)

• (1, 1)

• (0, 1)

What is the area of the shape created by Cindy's travel path?

• 16 square units

• 12 square units

• 14 square units

• 18 square units