Question

read the passage - shapes hierarchy - and answer the question below: 3. use the diagram to determine which statement is true. a. every rhombus is a square. b. every rectangle is a rhombus. c. every quadrilateral is a rhombus. d. every rhombus is a parallelogram. read the passage - shapes hierarchy - and answer the question below: 4. which best explains why figure 1 surrounds the other 6 shapes? a. figure 1 has one right angle. all of the shapes inside it have at least one right angle. b. figure 1 is a parallelogram. all of the shapes inside it are also parallelograms. c. figure 1 has two sides with the same length. all of the shapes inside it have at least two sides with the same length. d. figure 1 is a quadrilateral. all of the shapes inside it are also quadrilaterals. read the passage - shapes hierarchy - and answer the question below: 5. which statement best compares a rhombus and a square? a. a square is always a quadrilateral, while a rhombus is not. b. a rhombus always has four sides of equal length and four angles of equal measure, while a square does not. c. all the angles in a square and in a rhombus always have equal measures. d. all four angles in a square always have equal measures, while the measures of the angles in a rhombus can vary.

Explanation:

• For question 3: A rhombus has opposite - sides parallel, which is the definition of a parallelogram. A square is a special rhombus with right - angles, not all rhombuses are squares. A rectangle has right - angles and a rhombus has equal sides, they are different. Not all quadrilaterals are rhombuses.
• For question 4: A quadrilateral is a general category that includes various four - sided shapes. If figure 1 surrounds other shapes, it is likely because they are all quadrilaterals.
• For question 5: A square has four equal sides and four right (equal) angles. A rhombus has four equal sides but its angles can vary.

Answer:

1. D. Every rhombus is a parallelogram.
2. D. Figure 1 is a quadrilateral. All of the shapes inside it are also quadrilaterals.
3. D. All four angles in a square always have equal measures, while the measures of the angles in a rhombus can vary.