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\begin{tabular}{l} 3) Determine if the following are true or false. \\ a. All quadrilaterals have four sides. \\ b. All squares are rhombuses. \\ c. All rectangles are parallelograms. \\ d. All kites are quadrilaterals. \\ e. All rhombuses are squares. \\ f. All squares are rectangles. \\ h. All squares are parallelograms. \\ i. All kites have two sets of congruent, adjacent sides. \\ j. All isosceles trapezoids have exactly two sides that are congruent. \\ \hline\end{tabular}

Ask by Herrera Willis. in the United States
Mar 13,2025

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Answer

- a: True - b: True - c: True - d: True - e: False - f: True - h: True - i: True - j: True

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Bonus Knowledge

a. True - By definition, a quadrilateral is a polygon with exactly four sides. b. True - A square is a special type of rhombus where all angles are right angles, hence all squares fall under the broader category of rhombuses. c. True - Rectangles are a specific kind of parallelogram where all angles are right angles, making all rectangles also parallelograms. d. True - Kites are quadrilaterals that have two pairs of adjacent sides that are equal in length, fulfilling the definition of a quadrilateral. e. False - While all squares are rhombuses due to their equal sides, not all rhombuses have right angles, which means they are not all squares. f. True - All squares are rectangles since they have four right angles, but not all rectangles are squares due to the potential difference in side lengths. h. True - Since all squares have equal sides and parallel opposite sides, they fit the definition of a parallelogram. i. True - Kites are defined to have two pairs of adjacent sides that are congruent, fitting this criterion perfectly. j. True - An isosceles trapezoid is defined as having at least one pair of non-parallel sides equal in length, which means it has exactly two sides that are congruent.

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