Question

Select all the statements that are true.

1. Every rhombus has 4 equal sides.
2. Every trapezoid has 2 pairs of opposite parallel sides.
3. Every square has 4 equal sides and 4 right angles.
4. Every parallelogram has 4 equal sides.
5. Every rectangle is a parallelogram.

Answer 1

The true statements about geometric shapes are that every rhombus has 4 equal sides, every square has 4 equal sides and 4 right angles, and every rectangle is a parallelogram.

Step-by-step explanation:

The question focuses on identifying which statements about geometric shapes are true. Let's examine each statement:

• Every rhombus has 4 equal sides. This is true; by definition, a rhombus is a quadrilateral with all sides of equal length.
• Every trapezoid has 2 pairs of opposite parallel sides. This is false; a trapezoid only has one pair of opposite parallel sides.
• Every square has 4 equal sides and 4 right angles. This is true; a square is a special type of rectangle where all sides are equal and all angles are right angles.
• Every parallelogram has 4 equal sides. This is false; while a parallelogram has two pairs of parallel sides, the sides do not have to be equal. A rhombus is a special type of parallelogram that does have equal sides.
• Every rectangle is a parallelogram. This is true; a rectangle has two pairs of opposite sides that are both equal and parallel, fitting the definition of a parallelogram.

In summary, the true statements are numbers 1, 3, and 5.