Question

drag each name to the correct location on the table. each name can be used more than once, but not all names will be used. determine which quadrilaterals have the properties given in the table. rhombus parallelogram square rectangle trapezoid kite opposite sides are congruent. parallelogram diagonals are congruent. diagonals are perpendicular. exactly one pair of opposite angles are congruent. consecutive interior angles are supplementary. diagonals bisect opposite interior angles. reset next

Explanation:

Step1: Analyze "Opposite sides are congruent"

• Parallelogram: By definition, opposite sides are congruent.
• Rectangle: A rectangle is a parallelogram, so opposite sides are congruent.
• Rhombus: A rhombus is a parallelogram, so opposite sides are congruent.
• Square: A square is a parallelogram, so opposite sides are congruent.
• Trapezoid: Only one pair of opposite sides (bases) are parallel, but not necessarily congruent in general trapezoid; however, isosceles trapezoid has congruent non - parallel sides? Wait, no, the property "opposite sides are congruent" for trapezoid: no, trapezoid has only one pair of parallel sides. Wait, actually, parallelogram (including rectangle, rhombus, square) have opposite sides congruent. So parallelogram, rectangle, rhombus, square.

Step2: Analyze "Diagonals are congruent"

• Rectangle: Diagonals are congruent.
• Square: Diagonals are congruent.
• Isosceles trapezoid: But in our list, trapezoid - if it's isosceles, diagonals are congruent. But the given quadrilaterals: rectangle, square have diagonals congruent.

Step3: Analyze "Diagonals are perpendicular"

• Rhombus: Diagonals are perpendicular.
• Square: Diagonals are perpendicular.
• Kite: Diagonals are perpendicular.

Step4: Analyze "Exactly one pair of opposite angles are congruent"

• Kite: A kite has exactly one pair of opposite angles congruent.

Step5: Analyze "Consecutive interior angles are supplementary"

• Parallelogram: Since opposite sides are parallel, consecutive interior angles are supplementary. Rectangle, rhombus, square (all parallelograms) and trapezoid (since it has a pair of parallel sides, consecutive interior angles between the bases are supplementary).

Step6: Analyze "Diagonals bisect opposite interior angles"

• Rhombus: Diagonals bisect the opposite interior angles.
• Square: Diagonals bisect the opposite interior angles.

Now, let's fill the table:

1. Opposite sides are congruent: parallelogram, rectangle, rhombus, square
2. Diagonals are congruent: rectangle, square
3. Diagonals are perpendicular: rhombus, square, kite
4. Exactly one pair of opposite angles are congruent: kite
5. Consecutive interior angles are supplementary: parallelogram, rectangle, rhombus, square, trapezoid
6. Diagonals bisect opposite interior angles: rhombus, square

Answer:

The table should be filled as follows:

Property	Quadrilaterals
Diagonals are congruent	rectangle, square
Diagonals are perpendicular	rhombus, square, kite
Exactly one pair of opposite angles are congruent	kite
Consecutive interior angles are supplementary	parallelogram, rectangle, rhombus, square, trapezoid
Diagonals bisect opposite interior angles	rhombus, square

(Note: Since the problem is about dragging the names to the table, we can summarize the correct matches for each property as above. For example, for "Opposite sides are congruent" the quadrilaterals are parallelogram, rectangle, rhombus, square; for "Diagonals are congruent" - rectangle, square; etc.)