Circle the following quadrilateral that does Not have at least one pair of consecutive sides congruent. (A) rhombus (B)kite(C)isosceles trapezoid(D) square
Circle the following quadrilateral that may have exactly one pair of consecutive sides of congruent. (A)rhombus (B) kite(C) trapezoid (D) square
To determine which quadrilateral does not have at least one pair of consecutive sides congruent, we can analyze the properties of each option.
A rhombus is a quadrilateral with all four sides congruent, so it definitely has at least one pair of consecutive sides congruent.
A kite is a quadrilateral with two pairs of consecutive sides that are congruent, so it also has at least one pair of consecutive sides congruent.
An isosceles trapezoid is a quadrilateral with two opposite sides parallel, and the other two sides are not parallel. It does not guarantee any pair of consecutive sides to be congruent, so it is a possibility.
A square is a quadrilateral with all four sides congruent. Similar to the rhombus, it also has at least one pair of consecutive sides congruent.
Therefore, the quadrilateral that does not have at least one pair of consecutive sides congruent is the isosceles trapezoid, which is option (C).
To determine which quadrilateral may have exactly one pair of consecutive sides congruent, we can again analyze the properties of each option.
A rhombus has four sides that are congruent, so it does not have exactly one pair of consecutive sides congruent.
A kite has two pairs of consecutive sides that are congruent, so it also does not have exactly one pair of consecutive sides congruent.
A trapezoid is a quadrilateral with one pair of opposite sides that are parallel. It can have exactly one pair of consecutive sides congruent if the non-parallel sides are of equal length, and the parallel sides are of different lengths.
A square has all four sides congruent, which means that it does not have exactly one pair of consecutive sides congruent.
Therefore, the quadrilateral that may have exactly one pair of consecutive sides congruent is the trapezoid, which is option (C).