Question

all parallelograms have 4 right angles.
all rhombuses have 2 pairs of parallel sides.
all rhombuses have 4 right angles.
all parallelograms have 4 equal sides.
which sentence is true?

Explanation:

Step1: Recall properties of parallelograms and rhombuses

• Parallelogram: A quadrilateral with 2 pairs of parallel sides. Angles can be non - right (e.g., rhombus that's not a square/rectangle), and sides don't have to be equal (e.g., a rectangle that's not a square).
• Rhombus: A type of parallelogram with 4 equal - length sides, and 2 pairs of parallel sides. A rhombus has right angles only if it's a square.

Step2: Analyze each option

• Option 1: "All parallelograms have 4 right angles." False. A non - rectangular parallelogram (e.g., a slanted parallelogram) has non - right angles.
• Option 2: "All rhombuses have 2 pairs of parallel sides." True. By definition, a rhombus is a parallelogram, and all parallelograms have 2 pairs of parallel sides.
• Option 3: "All rhombuses have 4 right angles." False. A rhombus has right angles only when it is a square. Most rhombuses (non - square) do not have right angles.
• Option 4: "All parallelograms have 4 equal sides." False. A rectangle (a type of parallelogram) has opposite sides equal, not all four sides equal (unless it's a square).

Answer:

The second option (All rhombuses have 2 pairs of parallel sides)