Question

mixed quadrilateral review
name:jefe karubandika\t\t\t\tdate:
geometry
name each type of quadrilateral that can meet the given condition.
exactly one pair of congruent sides.\t\tfour right angles.
trapezoid\t\t\t\t\trectangle and square
congruent diagaonals.\t\t\t\tadjacent sides that are congruent.
trapezoid, rectangle,
square\t\t\t\t\t
perpendicular diagonals.\t\t\t\ttwo pairs of parallel sides.
kite, rhombus\t\t\t\t\tkite

Explanation:

1. Exactly one pair of congruent sides: A special type of irregular quadrilateral (sometimes called a "trapezoid" in some definitions, but more accurately, an irregular quadrilateral with only one pair of congruent sides; however, the most precise answer is an irregular quadrilateral (or a non-isosceles trapezoid does not fit, as isosceles trapezoids have two pairs of congruent base angles and congruent legs, so the correct answer is a quadrilateral defined solely by one pair of congruent sides, often categorized as an irregular quadrilateral, but sometimes referenced as a "trapezoid" in limited definitions).
2. Four right angles: Quadrilaterals with four 90° angles are rectangles; squares are a special case of rectangles with all sides congruent.
3. Congruent diagonals: Isosceles trapezoids, rectangles, and squares all have diagonals of equal length.
4. Adjacent sides that are congruent: Kites have two distinct pairs of adjacent congruent sides; rhombuses and squares have all adjacent sides congruent (so they qualify too).
5. Perpendicular diagonals: Kites, rhombuses, and squares have diagonals that intersect at 90° angles.
6. Two pairs of parallel sides: Parallelograms (including rectangles, rhombuses, and squares) have two pairs of opposite parallel sides.

Answer:

1. Exactly one pair of congruent sides: Irregular quadrilateral (or trapezoid in some definitions)
2. Four right angles: Rectangle, Square
3. Congruent diagonals: Isosceles Trapezoid, Rectangle, Square
4. Adjacent sides that are congruent: Kite, Rhombus, Square
5. Perpendicular diagonals: Kite, Rhombus, Square
6. Two pairs of parallel sides: Parallelogram, Rectangle, Rhombus, Square