QUESTION IMAGE
Question
- true or false: skew lines do not intersect and are not parallel.
- true or false: all the exterior angles of a concave polygon equal to 360 degrees.
- true or false: regular or normal polygons are both equiangular and equilateral.
- true or false: a square is a concave polygon.
- a polygon with 9 sides is called a _?
- a polygon with 7 sides is called a _?
Step1: Define skew lines
Skew lines are non - parallel and non - intersecting in 3 - D space. So the statement in 1 is True.
Step2: Recall exterior angles of polygons
The sum of exterior angles of any polygon (concave or convex) is 360 degrees. So the statement in 2 is True.
Step3: Recall properties of regular polygons
Regular polygons are equiangular and equilateral, but normal polygons is not a standard term in geometry in this context. Assuming it's a mis - word and we consider regular polygons, they are equiangular and equilateral. So the statement in 3 is True.
Step4: Recall properties of squares
A square is a convex polygon as all its interior angles are less than 180 degrees. So the statement in 4 is False.
Step5: Recall polygon naming
A polygon with 9 sides is called a nonagon. So the answer for 5 is nonagon.
Step6: Recall polygon naming
A polygon with 7 sides is called a heptagon. So the answer for 6 is heptagon.
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- True
- True
- True
- False
- nonagon
- heptagon