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Common Core Standard 5.G.B.3 Questions

Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles.

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Grade 5 Quadrilaterals CCSS: 5.G.B.3
Which of the following are parallelograms? Select all correct answers.
Trapezoid ABCDEF
  1. quadrilateral ABCD
  2. quadrilateral ABCE
  3. quadrilateral BCEF
  4. quadrilateral BCDF
Grade 5 Quadrilaterals CCSS: 5.G.B.3
Which best explains why the shape shown is not a parallelogram?
Hexagon
  1. It has more than four sides.
  2. It is a two-dimensional shape.
  3. It has angles of the same measure.
  4. It has opposite sides that are parallel.
Grade 5 Quadrilaterals CCSS: 5.G.B.3
The table shows the side lengths of quadrilateral ABCD.
Quadrilateral ABCD
SideLength
AB4
BC8
CD6
DA6

Is quadrilateral ABCD a parallelogram?
  1. Yes. It is a parallelogram because two of the sides measure the same length.
  2. No. It is not a parallelogram because the opposite sides are not the same length.
  3. Maybe. It could be a parallelogram, but the table needs to include angle measures in order to determine.
Grade 5 Quadrilaterals CCSS: 5.G.B.3
Grade 5 Quadrilaterals CCSS: 5.G.B.3
Grade 5 Quadrilaterals CCSS: 5.G.B.3
Grade 5 Quadrilaterals CCSS: 5.G.B.3
Grade 5 Quadrilaterals CCSS: 5.G.B.3
Grade 5 Quadrilaterals CCSS: 5.G.B.3
Grade 5 Quadrilaterals CCSS: 5.G.B.3
Grade 5 Quadrilaterals CCSS: 5.G.B.3
Grade 5 Quadrilaterals CCSS: 5.G.B.3
Lucy says the shape shown is not a parallelogram because all four sides are not the same length. Is Lucy's reasoning correct and why?
Parallelogram ABCD v1
  1. Yes, Lucy is correct. The shape is not a parallelogram because all four sides are not the same length.
  2. No Lucy is incorrect. The shape is a parallelogram because all four sides are the same length.
  3. No, Lucy is incorrect. The shape is not a parallelogram because it has four sides, but the opposite sides are not parallel.
  4. No, Lucy is incorrect. The shape is a parallelogram because it has four sides and the opposite sides are parallel.
Grade 5 Quadrilaterals CCSS: 5.G.B.3
John's teacher asked him to draw a quadrilateral with all congruent sides. What could he draw?
  1. a rectangle or a rhombus
  2. a rectangle or a square
  3. a square or a rhombus
  4. a trapezoid or a kite
Grade 5 Quadrilaterals CCSS: 5.G.B.3
Which of the following is a parallelogram?
  1. Rectangle
  2. Rhombus
  3. Square
  4. All of the above
Grade 5 Quadrilaterals CCSS: 5.G.B.3
Which is sufficient to prove that a quadrilateral is a rhombus?
  1. The diagonals bisect each other.
  2. The diagonals are perpendicular.
  3. All four sides are congruent.
  4. A pair of opposite sides are congruent and parallel.
  5. None of the above.
Grade 5 Quadrilaterals CCSS: 5.G.B.3
Which TWO statements about quadrilaterals are true?
  1. All rectangles are always squares.
  2. All squares are always rhombuses.
  3. All trapezoids are always parallelograms.
  4. All parallelograms are always rhombuses.
  5. All rectangles are always parallelograms.
Grade 5 Quadrilaterals CCSS: 5.G.B.3
The diagonals of which quadrilateral must be congruent?
  1. Trapezoid
  2. Parallelogram
  3. Rhombus
  4. Kite
  5. Rectangle
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