Grade 1 Geometry Practice โ€” Hard

Question 1 of 18Score 0/0Hard

Question 1 of 18: I have 4 sides. All sides are equal. My angles are NOT all right angles. What shape am I?

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Keep going: Read the lesson: Defining Attributes of Shapes Fraction Pie & Bar
Answer key for parents & teachers (18 questions)
  1. I have 4 sides. All sides are equal. My angles are NOT all right angles. What shape am I? โ€” Rhombus. A rhombus has 4 equal sides but does not require right angles!
  2. I have 4 sides and 4 corners. My opposite sides are equal but not all sides are equal. What am I? โ€” Rectangle. A rectangle has opposite sides equal but not necessarily all four sides equal!
  3. A shape detective says: "I have more than 3 sides but fewer than 6 sides." What shapes fit? โ€” Rectangles, squares, rhombuses, and pentagons. More than 3 but fewer than 6 means 4 or 5 sides: rectangles, squares, rhombuses (4 sides) and pentagons (5 sides)!
  4. True or False: All squares are rectangles. โ€” True. True! Every square has 4 right angles and opposite sides equal โ€” all requirements for a rectangle!
  5. True or False: All rectangles are squares. โ€” False โ€” only when all sides are equal. False! A rectangle is a square ONLY when all four sides happen to be equal. Most rectangles are not squares.
  6. A hexagon can be made from how many equilateral triangles? โ€” 6. Six equilateral triangles arranged around a center point make a regular hexagon!
  7. What shape is made from 4 equal triangles placed together in a row? โ€” A rectangle. Four equal right triangles alternating direction in a row form a rectangle!
  8. Mia builds a shape using a triangle on top of a rectangle. How many sides does the composite shape have? โ€” 7. The triangle adds 2 new sides on top; the rectangle base adds 3 sides (bottom + 2 sides not covered). Total: 2 + 3 = 5 sidesโ€ฆ actually: rectangle = 4 sides; share 1 side with triangle; triangle adds 2 new sides. Total outer sides: 3 + 2 = 5.
  9. A shape is made of 2 squares + 1 rectangle. If the squares have 4 sides each and the rectangle has 4 sides, how many total sides do all 3 pieces have? โ€” 12. 4 + 4 + 4 = 12 sides total across all three pieces before combining.
  10. True or False: A composite shape always has more sides than any one of its parts. โ€” False โ€” some sides get hidden when shapes join. False! When shapes join along a shared edge, those edges disappear, often resulting in FEWER total sides than you might expect.
  11. What new shape can be formed by joining a semicircle to a rectangle along one long side? โ€” A shape like a bread loaf. A rectangle with a semicircle on top looks like a bread loaf or an arch!
  12. Which pair of shapes can form a square when combined? โ€” Two equal right triangles. Two equal right isosceles triangles can be joined along their longest side to form a square!
  13. A shape is made of a square and 2 triangles on either side (like an arrow). How many sides does the composite shape have? โ€” 6. The square contributes the top and bottom; the two triangle tips add 2 sides each. The composite arrow shape has about 6 outer sides.
  14. If you have 3 identical squares and join them in an L-shape, what kind of shape do you get? โ€” An L-shaped hexagon. Three squares arranged in an L form a 6-sided composite shape (a hexagon-like L-shape)!
  15. How many fourths are in one-half? โ€” 2. 1/2 = 2/4. Two-fourths equals one-half!
  16. Is it possible to have halves that are NOT equal? โ€” No, halves must always be equal. Halves MUST be equal! If the two pieces are different sizes, they are NOT true halves.
  17. A rectangle has 4/4 of its parts shaded. What does that mean? โ€” The whole rectangle is shaded. 4/4 = 1 whole. All 4 of the 4 equal parts are shaded โ€” the entire rectangle!
  18. Amy cuts her pie into quarters and eats 2 quarters. Her brother eats 1 quarter. Who ate more? โ€” Amy. Amy ate 2/4 (= 1/2). Her brother ate 1/4. 2/4 > 1/4, so Amy ate more!