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. diagonals are congruent. diagonals are perpendicular. diagonals bisect opposite interior angles. exactly one pair of opposite angles are congruent. consecutive interior angles are supplementary. reset next

Explanation:

Step1: Recall properties of each quadrilateral

• Opposite sides congruent: Parallelogram, Rectangle, Rhombus, Square (all parallelograms have this; square/rectangle/rhombus are types of parallelograms).
• Diagonals congruent: Rectangle, Square (rectangle has congruent diagonals; square is a rectangle).
• Diagonals perpendicular: Rhombus, Square, Kite (rhombus diagonals are perpendicular; square is a rhombus; kite diagonals are perpendicular).
• Exactly one pair opposite angles congruent: Kite (in a kite, one pair of opposite angles are congruent).
• Consecutive interior angles supplementary: Parallelogram, Rectangle, Rhombus, Square, Trapezoid (trapezoid has one pair of parallel sides, so consecutive angles between them are supplementary; parallelograms have parallel sides, so consecutive angles supplementary).
• Diagonals bisect opposite interior angles: Rhombus, Square (rhombus diagonals bisect angles; square is a rhombus).

Step2: Match each property to quadrilaterals

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:

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