Question

is a convex polygon regular? tell whether the statement is always, sometimes, or never true.

Answer 1

Is a rectangular convex? A square?

Answer 2

sorry, whats your question?

Answer 3

always regular i guess....

Answer 4

that's what i was assuming also, and thank you!

Answer 5

yep!! all it's interior angles are less than or equivalent to 180...and all it's diagonals lie inside the polygon

Answer 6

Regular polygons have all angles equal AND all sides equal.

You can have a convex polygon that is regular or irregular. A square is a regular convex polygon (equal angles and equal sides) and a rectangle is an irregular convex polygon (equal angles but unequal sides).

So a convex polygon is sometimes regular.

However, all regular polygons are convex. You cannot have a regular concave polygon.

Answer 7

@jeremym1234, my point is that both rectangles and squares are convex.

However, all squares are rectangles, but not all rectangles are squares. The first part means all squares are *regular* rectangles, but the second part tells you that not all rectangles are regular (because they're not all squares).