Ages 9–10🧮 Mathematics21 verified questions on this shelf

Classifying shapes by line properties

Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or angles of a specified size; recognise right triangles as a category

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Question 1 of 3

Sam is choosing four different floor‑tile shapes for his room. The shapes are described as: 1. A shape with two opposite sides that are the same length and directly across from each other, while the other two opposite sides are shorter – a trapezoid. 2. A shape where all four sides are equal in length and opposite sides are opposite each other, but the corners are not right angles – a rhombus. 3. A shape that looks like a diamond: the top and bottom points meet at sharp angles, the left and right sides are equal, and no sides run parallel – a kite. 4. A shape that is a perfect rectangle. Which of the following ways correctly separates the shapes that have at least one pair of parallel sides from the shapes that have no parallel sides?

Question 2 of 3

Alex has five different game‑board tiles. Each tile is a quadrilateral: - Tile A: a rectangle - Tile B: a trapezoid (only one pair of opposite sides is parallel) - Tile C: a kite (no sides are parallel) - Tile D: a rhombus (all sides equal) - Tile E: an irregular shape with no parallel sides Which of the following ways of sorting the tiles into Group 1 (tiles that have at least one pair of parallel sides) and Group 2 (tiles that have no parallel sides) is correct?

Question 3 of 3

Which 2‑dimensional shape is described by the following properties? - It has five straight sides. - All five sides are the same length. - The corners are not all the same; some corners are wider than others.

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