2D Figure Classification Worksheets Grade 5

1. Tane is helping his younger sister sort her geometric puzzle pieces. She has a shape that always has four sides and four right angles. Tane tells her, 'This shape is a rectangle, but it could also be called something more specific if all sides are equal.' Which of the following statements about the shape is always true?
2. Tane is designing a garden path using tiles that are all quadrilaterals. He has a tile with four right angles, but its sides are not all the same length. His friend Kaia says, 'That tile must be a rectangle, so it is also a parallelogram.' Tane wonders if Kaia is correct. Is every rectangle also a parallelogram? Explain your reasoning using the properties of these shapes.
3. Isabella is sorting a collection of geometric cutouts for a school art project. She has a square, a rectangle, a rhombus, and a parallelogram. Her friend Mason claims that a square can be classified as both a rhombus and a rectangle. Is Mason correct? Explain why or why not using the properties of these shapes.

…and 3 more problems

1. Kaia is helping her younger brother sort his shape puzzle pieces. She notices that some shapes can be grouped into a special category. Her brother holds up a rhombus and says, 'This shape has four equal sides, so it must be a square!' Kaia explains that while all squares are rhombuses, not all rhombuses are squares. Which of the following statements correctly explains the relationship between rhombuses and squares?
2. Maria is designing a stained glass window using different geometric shapes. She needs a polygon with exactly 5 sides where all sides are equal and all interior angles are equal. What is the name of this polygon, and what is the sum of its interior angles?
3. Mere has drawn a large quadrilateral on the pavement. It has two pairs of parallel sides, and all four sides are of equal length, but its angles are not 90 degrees. A friend says, 'That must be a square.' Is the friend correct? Explain your reasoning by naming the most specific shape that Mere has drawn and listing its properties.

…and 2 more problems

1. Charlotte has drawn a large quadrilateral with 4 right angles and 4 sides of equal length. She then draws another quadrilateral that has 4 right angles but only opposite sides are equal in length. Mason says, 'Both of these shapes are rectangles, but only one is a square.' Is Mason correct? Explain your reasoning using the properties of these shapes.
2. Emma has drawn a large quadrilateral with four sides. She notices that all four sides are the same length, but the shape is not a square because its angles are not 90 degrees. Later, she draws another quadrilateral where both pairs of opposite sides are parallel, and all angles are 90 degrees, but the sides are not all equal. What is the most specific name for Emma's first shape, and what is the most specific name for her second shape? Then, explain whether every shape like the first one is also a special type of the second shape.
3. Charlotte is designing a mosaic for her art class. She draws a quadrilateral with four equal sides and four right angles. Her friend Mason says, 'That shape is a square.' Her teacher Isabella says, 'But it is also a rectangle and a parallelogram.' Charlotte is confused. Why can the same shape be called a square, a rectangle, and a parallelogram? In your explanation, name the properties that make this shape fit all three categories.

…and 1 more problems