Quadrilateral True/False Sort

Opposite sides of a parallelogram are congruent. True or False?

• True

• False

Answer explanation

True. In a parallelogram, opposite sides are always congruent, meaning they have equal length. This property is fundamental to the definition of parallelograms.

Diagonals of a rectangle are congruent. True or False?

• True

• False

Answer explanation

True. In a rectangle, the diagonals are equal in length and bisect each other, making them congruent. This property holds for all rectangles.

All sides of a rhombus are congruent. True or False?

• True

• False

Answer explanation

True. A rhombus is defined as a quadrilateral with all sides of equal length, meaning all sides are congruent.

A rhombus has perpendicular diagonals. True or False?

• True

• False

Answer explanation

True. In a rhombus, the diagonals are always perpendicular to each other, meaning they intersect at right angles. This is a defining property of rhombuses.

Opposite angles in a parallelogram are congruent. True or False?

• True

• False

Answer explanation

True. In a parallelogram, opposite angles are equal in measure, which means they are congruent. This property is fundamental to the definition of parallelograms.

Squares have bisecting diagonals. True or False?

• True

• False

Answer explanation

True. In a square, the diagonals bisect each other at right angles and are of equal length, dividing the square into two congruent triangles.

Isosceles trapezoids have congruent diagonals.

• True

• False

Answer explanation

In isosceles trapezoids, the non-parallel sides are equal in length, which results in the diagonals being congruent. Therefore, the statement that isosceles trapezoids have congruent diagonals is True.

Squares have four lines of symmetry. True or False?

• True

• False

Answer explanation

True. A square has four lines of symmetry: two vertical, one horizontal, and one diagonal. This means it can be folded along these lines and both halves will match perfectly.

A square has perpendicular diagonals. True or False?

• True

• False

Answer explanation

True. In a square, the diagonals are not only equal in length but also bisect each other at right angles, making them perpendicular.

A rectangle has four congruent angles. True or False?

• True

• False

Answer explanation

True. A rectangle is defined as a quadrilateral with four right angles, which are congruent (equal in measure). Therefore, the statement is correct.