Write TRUE if the statement is true,otherwise change the underlined word to make the statement correct
5. Triangles can be a regular or eregular shape
6.The triangle's area formula is half of the quadrilateral's area formula because a triangle is half of a quadrilateral
7.Both triangles and quadrilaterals fall under the category of polygons
8.Except for square ,all the quadrilateral are irregular quadrilateral
9.Polygons are figures that are formed by three or more line segments .these lines, even called sides, meet at their end points to form vertices
Underlined Word:
5.triangle
6.quadrilateral
7.polygons
8.square
9.polygons
Answers & Comments
5. TRUE. As there are different types of triangle: the regular and irregular triangle. Regular polygon by definition is a polygon with equal sides and angles, such example of regular triangle is equilateral triangle. Different types of irregular triangles such as scalene, isosceles, right and others are still considered a triangle.
6. TRUE. As this can be shown from the sum of internal angles S = (n-2)x180. Where half of the sum of the internal angles of a quadrilateral is the sum of the internal angles of a triangle. Thus, the statement provided is true.
7. TRUE. Polygon by definition is formed with a minimum of 3 line segments to a maximum of known segment lines (however circle is not considered a polygon. This topic will be explained to you in higher mathematics.). Triangle is formed by 3 segments, a quadrilateral is formed by 4 segments which makes them a polygon.
8. TRUE. As what was discussed earlier, a regular polygon must have an equal sides and angles. So the only regular quadrilateral is square. Other quadrilaterals such as rectangle, rhombus, parallelogram are irregular for they don't satisfy the parameters of a regular quadrilateral.
9. TRUE. As polygon is formed, the line segments will be called sides and its point of convergence will be called vertex.
Hope you have learned something. God bless you.