Question

name each quadrilateral - rectangle, rhombus, square - for which the statement is true.

1. it is equilateral.
2. its diagonals are congruent.
3. it is equiangular.
4. the diagonals bisect the opposite angles.

Explanation:

7.

• Definition of equilateral: A figure with all sides equal.
• Properties of rhombus: A rhombus has all four sides equal.
• Properties of square: A square also has all four sides equal.

8.

• Properties of rectangle: In a rectangle, the diagonals are congruent (equal in length).
• Properties of square: In a square, the diagonals are congruent.

9.

• Definition of equiangular: A figure with all angles equal.
• Properties of rectangle: A rectangle has all angles equal to \(90^{\circ}\).
• Properties of square: A square has all angles equal to \(90^{\circ}\).

10.

• Properties of rhombus: The diagonals of a rhombus bisect the opposite angles.
• Properties of square: The diagonals of a square bisect the opposite angles.

Answer:

1. rhombus, square
2. rectangle, square
3. rectangle, square
4. rhombus, square