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Quadrilaterals Questions - All Grades

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Grade 10 Quadrilaterals
For each of the quadrilaterals listed below, choose all correct properties about their sides.
At Least One Pair of Opposite Sides is Congruent At Least Certain Adjacent Pairs of Sides are Congruent At Least One Pair of Opposite Sides is Parallel
Square
Rectangle
Parallelogram
Rhombus
Kite
Isosceles Trapezoid
Grade 4 Quadrilaterals CCSS: 4.G.A.2
Which quadrilateral must have perpendicular diagonals?
  1. Parallelogram
  2. Rectangle
  3. Rhombus
  4. Isosceles Trapezoid
Grade 5 Quadrilaterals CCSS: 5.G.B.4
Is the quadrilateral shown a regular or irregular polygon?
Square Rotated
  1. regular polygon
  2. irregular polygon
Grade 4 Quadrilaterals CCSS: 4.G.A.2
Which of the following always have 90-degree angles?
  1. square and parallelogram
  2. square and trapezoid
  3. square and rectangle
  4. square and rhombus
Grade 1 Quadrilaterals CCSS: 1.G.A.1
How many corners does a rectangle have?
  1. 3
  2. 6
  3. 4
  4. 1
Grade 3 Quadrilaterals CCSS: 3.G.A.1
Look at the two figures labeled ABCD. Select ALL of the statements which are true.

Diamond ABCD Parallelogram ABCD v1
  1. Both figures have 4 sides.
  2. Both figures have 4 vertices.
  3. Both figures are quadrilaterals.
  4. Both figures are parallelograms.
  5. Both figures have 4 right angles.
  6. Both figures have 4 equal length sides.
Grade 10 Quadrilaterals CCSS: HSG-CO.C.11
What is the missing reason in step 8 of the following proof?

Given: Quadrilateral ABCD with diagonal ¯BD where ¯AB || ¯CD and ¯BC || ¯AD
Prove: ∠BAD≅∠DCB

Parallelogram ABCD v3

             Statement             Reason
1.¯AB || ¯CD1.Given
2.∠ABD≅∠CDB2.Alternate interior angles are congruent
3.¯BC || ¯AD3.Given
4.∠ADB≅∠CBD4.Alternate interior angles are congruent
5.m∠ABD=m∠CDB,  m∠ADB=m∠CBD5.Definition congruent angles
6.m∠ABD+m∠ADB+m∠BAD=180°,          m∠CDB+m∠DCB+m∠CBD=180°6.Sum of angles in a triangle is 180°
7.m∠CDB+m∠DCB+m∠CBD=           m∠ABD+m∠ADB+m∠BAD7.Substitution Property of Equality
8.m∠DCB=m∠BAD8.
9.∠BAD≅∠DCB9.Definition of congruent angles
  1. Elimination Property of Equality
  2. Corresponding angles are congruent
  3. Definition of congruent terms
  4. Subtraction Property of Equality
Grade 4 Quadrilaterals CCSS: 4.G.A.2
What shape is this?
Parallelogram v1
  1. square
  2. rectangle
  3. triangle
  4. parallelogram
Grade 5 Quadrilaterals CCSS: 5.G.B.4
Is the quadrilateral shown a regular or irregular polygon?
Square
  1. regular polygon
  2. irregular polygon
Grade 9 Quadrilaterals
A parallelogram is a type of kite.
  1. True
  2. False
Grade 9 Quadrilaterals
A rectangle is a type of kite.
  1. True
  2. False
Grade 9 Quadrilaterals
A parallelogram is a type of rhombus.
  1. True
  2. False
Grade 5 Quadrilaterals CCSS: 5.G.B.4
All parallelograms are rhombuses.
  1. True
  2. False
Grade 5 Quadrilaterals CCSS: 5.G.B.3
Select two parallelograms.
  1. Square ABCD
  2. Trapezoid ABCD
  3. Parallelogram ABCD v2
Grade 5 Quadrilaterals CCSS: 5.G.B.3
A rhombus is a rectangle.
  1. always
  2. never
  3. sometimes
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