A quadrilateral is a polygon in Euclidean plane geometry with four edges (sides) and four vertices (corners). There are four methods that you can use to prove that a quadrilateral is a square. Remember, if you see the word quadrilateral, it does not necessarily mean a figure with special properties like a square or rectangle! Which statement is true? Geometry. Which description does NOT guarantee that a quadrilateral is a square? Turns out that if even both facts together are true, that does not guarantee that the shape is a square. Which description does not guarantee that a quadrilateral is a square? All squares are quadrilaterals. 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] In fact, it's not any special quadrilateral at all. Which description does NOT guarantee that a quadrilateral is a square? Question 7 options: has all right angles and has all sides congruent has all sides congruent and all angles congruent is a parallelogram with perpendicular diagonals is both a rectangle and a rhombus a. 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 . So this one does not guarantee the quadrilateral is a square. 0 0. 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. 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 […] John T. Lv 6. ... that does not guarantee that the shape is a square. It could be just two congruent right triangles attached at the hypotenuse, like this. Which angles of the quadrilateral must be supplementary? 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. 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 … a. is a parallelogram with perpendicular diagonals b. is both a rectangle and a rhombus c. has all sides congruent and all angles congruent d. has all right angles and has all sides congruent ____ 2. b. Suppose both pairs of opposite sides of a quadrilateral are parallel. It could be just two congruent right triangles attached at the hypotenuse, like this. I do not understand what this question is asking and how I should answer. So in this diagram, it is true that BC equals CD. If the shape is close to being a square but not exactly a square, it doesn't necessarily have any of the square properties. Special Quadrilaterals. 10 years ago. for what values of a and b is each quadrilateral a parallelogram? Left side: 5a Top: 3a+1 Right side: 2b-5 Bottom: b . Which statement does not guarantee that a quadrilateral is a square? Which description does NOT guarantee that a quadrilateral is a parallelogram? 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 "It has four sides" is a description that does not guarantee that a quadrilateral is a square. 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