Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 4 (1 point) tell whether the statement is always, sometimes, o…

Question

question 4 (1 point) tell whether the statement is always, sometimes, or never true. a quadrilateral is convex. word bank: always sometimes never blank 1:

Explanation:

Step1: Recall quadrilateral types

A quadrilateral is a 4 - sided polygon. There are convex quadrilaterals (where all interior angles are less than \(180^\circ\) and all vertices point outwards) and concave quadrilaterals (where at least one interior angle is greater than \(180^\circ\) and at least one vertex points inwards, like a dart - shaped quadrilateral).

Step2: Determine the truth of the statement

Since there exist both convex and concave quadrilaterals, the statement "A quadrilateral is convex" is not always true (because there are concave ones) and not never true (because there are convex ones). So it is sometimes true.

Answer:

sometimes