Convex Polygon Quiz

Avery, Emma, and Abigail are learning about polygons in their geometry class. Their teacher asked them to identify a convex polygon. How would they describe it?

• A convex polygon is a polygon in which all of its interior angles are greater than 180 degrees and all of its vertices point inwards.

• A convex polygon is a polygon in which all of its interior angles are equal to 180 degrees and all of its vertices point outwards.

• A convex polygon is a polygon in which all of its interior angles are less than 180 degrees and all of its vertices point outwards.

• A convex polygon is a polygon in which all of its interior angles are greater than 180 degrees and all of its vertices point outwards.

Aria, David, and Scarlett are playing a game where they have to identify shapes. They are given a few shapes and asked to identify which one is a convex polygon. Which shape should they choose?

• Regular hexagon

• Concave octagon

• Irregular pentagon

• Regular heptagon

Benjamin, Aria, and Daniel are building a model of a convex polygon. How many sides does their model have if it's a convex polygon?

• 3

• 8

• 10

• 5

Grace, Arjun, and James are studying geometry. They are discussing convex polygons. Grace makes a statement: 'All angles of a convex polygon are less than 180 degrees.' Is Grace's statement true or false?

• True

• Only one angle is less than 180 degrees

• Some angles are less than 180 degrees

• False

Michael, Abigail, and Harper are building a model of a polygon for their geometry project. Which of the following is NOT a property of the polygon if it is convex?

• All vertices of the model lie on the same plane.

• All interior angles of the model are greater than 180 degrees.

• All diagonals of the model are contained within the polygon.

• All sides of the model are congruent.

Anika, Noah, and Mason are working on a project to create a model of a convex hexagon. They are discussing the sum of the interior angles of their hexagon. What is the sum of the interior angles of their convex hexagon?

• 720

• 540

• 900

• 360

Ethan, Hannah, and Samuel are discussing shapes in their geometry class. Ethan says that a convex polygon can have concave angles. Is Ethan's statement true or false?

• True

• False

• Only in certain cases

• Sometimes

Avery, Nora, and Sophia are studying geometry. They are discussing different types of polygons. Sophia asks, 'Which of the following is a convex polygon?'

• A concave octagon that Avery drew

• An irregular pentagon that Nora sketched

• A regular heptagon that Sophia outlined

• A regular hexagon that Avery designed

Daniel, Mason, and Noah are building a convex polygon with sticks. If they connect all the sticks end-to-end in a circular manner, what would be the sum of the exterior angles of the polygon they created?

• 90

• 180

• 45

• 360

Ethan, Abigail, and Evelyn are discussing shapes in their geometry class. Ethan says that a convex polygon can have parallel sides. Is Ethan's statement True or False?

• Sometimes

• False

• True

• Only if it has more than 6 sides