Understanding angles (age 8+)

Question 1

Which statement about a square is correct?

Accepted Answer

A square is a rectangle and also a rhombus.

Answer

A square is only a rhombus, not a rectangle.

Answer

A square is neither a rectangle nor a rhombus.

Answer

A square is only a rectangle, not a rhombus.

Question 2

Mia is arranging shape blocks. She sees that the block shaped like a square has four equal sides and every corner looks like a perfect corner. Which explanation correctly shows why this square belongs to both the rectangle family and the rhombus family?

Accepted Answer

Because a square has four right‑angle corners and opposite sides that are the same length, it is a rectangle; and because all four sides are the same length, it is a rhombus.

Answer

Because a square has opposite sides equal, it is a rectangle; and because it has at least one right‑angle corner, it is a rhombus.

Answer

Because a square has all four sides the same length, it is a rectangle; and because it has four right‑angle corners, it is a rhombus.

Answer

Because a square has four right‑angle corners, it is a rectangle; but it cannot be a rhombus because its sides are not all equal.

Question 3

Sam compares three floor tiles. Tile A is a rectangle: opposite sides are the same length and every corner is a right angle. Tile B is a rhombus: all four sides are the same length but its corners are not right angles. Tile C is a square: all four sides are the same length and every corner is a right angle. Which statement correctly explains why Tile C belongs to both the rectangle group and the rhombus group?

Accepted Answer

Tile C has four equal sides, which makes it a rhombus, and it also has four right angles, which makes it a rectangle.

Answer

Tile C is a rhombus because its sides are equal, and a rectangle because one pair of its sides is longer than the other.

Answer

Tile C is a rectangle because it has right angles, and a rhombus because it has two pairs of parallel sides.

Answer

Tile C has opposite sides equal, so it is a rectangle, but because its sides are all the same length, it cannot be a rhombus.

Try three questions

Which statement about a square is correct?

Mia is arranging shape blocks. She sees that the block shaped like a square has four equal sides and every corner looks like a perfect corner. Which explanation correctly shows why this square belongs to both the rectangle family and the rhombus family?

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