A quadrilateral is a polygon in Euclidean plane geometry with four edges (sides) and four vertices (corners). If it does not have four sides that are equal then it is not a square or if it does not have four right angles then it is not … Left side: 5a Top: 3a+1 Right side: 2b-5 Bottom: b . It could be just two congruent right triangles attached at the hypotenuse, like this. All squares are quadrilaterals. a. 10 years ago. In addition to symmetrical, irregular quadrilaterals, other irregular quadrilaterals can exist without symmetry, just four unequal sides: [insert drawing irregular quadrilateral MATH with labeled sides MA = 7 cm, AT = 3 cm, TH = 12 cm, HM = 14 cm] Turns out that if even both facts together are true, that does not guarantee that the shape is a square. Suppose both pairs of opposite sides of a quadrilateral are parallel. So in this diagram, it is true that BC equals CD. There are four methods that you can use to prove that a quadrilateral is a square. c. a quadrilateral with both pairs of opposite sides congruent a quadrilateral with the diagonals bisecting each other a quadrilateral with consecutive angles supplementary quadrilateral with two opposite sides parallel Which description does NOT guarantee that a quadrilateral is a parallelogram? Do not despair, though, because a few of them yield to area formulas, just as the square does. In word problems, be careful not to assume that a quadrilateral has parallel sides or equal sides unless that is stated. Remember, if you see the word quadrilateral, it does not necessarily mean a figure with special properties like a square or rectangle! Which description does NOT guarantee that a quadrilateral is a square? for what values of a and b is each quadrilateral a parallelogram? It could be just two congruent right triangles attached at the hypotenuse, like this. ... that does not guarantee that the shape is a square. Special Quadrilaterals. Which description does NOT guarantee that a quadrilateral is a square? If a quadrilateral has 4 equal sides and 4 equal angles, its angles must be 90 degrees each, and 4 equal sides, so it guarantees it is a square. Other names for quadrilateral include quadrangle (in analogy to triangle), tetragon (in analogy to pentagon, 5-sided polygon, and hexagon, 6-sided polygon), and 4-gon (in analogy to k-gons for arbitrary values of k).A quadrilateral with vertices , , and is sometimes denoted as . Geometry. "It has four sides" is a description that does not guarantee that a quadrilateral is a square. So this one does not guarantee the quadrilateral is a square. In the last three of these methods, you first have to prove (or be given) that the quadrilateral is a rectangle, rhombus, or both: If a quadrilateral has four congruent sides and four right angles, then it’s a square […] Which angles of the quadrilateral must be supplementary? Which description does not guarantee that a quadrilateral is a square? John T. Lv 6. b. In fact, it's not any special quadrilateral at all. Which statement does not guarantee that a quadrilateral is a square? If the shape is close to being a square but not exactly a square, it doesn't necessarily have any of the square properties. I do not understand what this question is asking and how I should answer. Which statement is true? 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