Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

1. true or false: skew lines do not intersect and are not parallel. 2. …

Question

  1. true or false: skew lines do not intersect and are not parallel.
  2. true or false: all the exterior angles of a concave polygon equal to 360 degrees.
  3. true or false: regular or normal polygons are both equiangular and equilateral.
  4. true or false: a square is a concave polygon.
  5. a polygon with 9 sides is called a _?
  6. a polygon with 7 sides is called a _?

Explanation:

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.

Answer:

  1. True
  2. True
  3. True
  4. False
  5. nonagon
  6. heptagon