Properties of Quadrilaterals (A) | Fun and Engaging 2nd Grade PDF ... - Free Printable
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Step-by-step solution for: Properties of Quadrilaterals (A) | Fun and Engaging 2nd Grade PDF ...
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Show Answer Key & Explanations
Step-by-step solution for: Properties of Quadrilaterals (A) | Fun and Engaging 2nd Grade PDF ...
Let’s go step by step to match each shape with its correct name based on the properties given.
We have 6 shapes labeled A, C, D, F, G, H (note: B and E are missing — probably not used).
And we have 6 property descriptions on the right. We need to fill in the “Name” for each description by matching it to the correct quadrilateral type from the list at the top: Rectangle, Rhombus, Trapezoid, Square, Kite, Parallelogram.
Also, note that some shapes may look similar but have different properties — so we must rely on the written properties, not just appearance.
---
Let’s list the properties and match them one by one:
Property Set 1:
> Opposite sides equal
> Opposite sides parallel
> 4 right angles
→ This is a Rectangle.
(All rectangles have opposite sides equal and parallel, and 4 right angles. Squares also fit this, but squares have *all* sides equal — which isn’t mentioned here, so rectangle is best fit.)
Looking at the shapes: Shape A is a rectangle (longer horizontally, 4 right angles). So Property Set 1 → Name: Rectangle
But wait — let’s check all sets first before assigning letters. Actually, the task is to write the NAME under each property set — not assign letters. The letters (A, C, etc.) are just labels for the shapes on the left — they’re probably there for reference or another part of the worksheet. Since the instructions say “Name: _______” under each property box, we just need to write the correct quadrilateral name for each property set.
So let’s ignore the letters for now and focus on matching properties to names.
---
Property Set 1:
- Opposite sides equal
- Opposite sides parallel
- 4 right angles
→ Rectangle
Property Set 2:
- All sides equal
- Opposite sides parallel
- Diagonals cross at right angles
- No right angles
→ This is a Rhombus that is NOT a square. Rhombus has all sides equal, opposite sides parallel, diagonals perpendicular, and if no right angles, then it’s not a square.
→ Rhombus
Property Set 3:
- All sides equal
- Opposite sides parallel
- 4 right angles
- Diagonals cross at right angles
→ This is a Square. It fits all: all sides equal, opposite sides parallel (actually all sides parallel in pairs), 4 right angles, and diagonals are perpendicular.
→ Square
Property Set 4:
- 2 pairs of equal adjacent sides
- Diagonals cross at right angles
→ This is a Kite. A kite has two distinct pairs of adjacent sides that are equal, and its diagonals intersect at right angles.
→ Kite
Property Set 5:
- 1 pair of parallel lines
→ This is a Trapezoid. By definition, a trapezoid has exactly one pair of parallel sides (in US curriculum; sometimes called trapezium elsewhere, but here it's trapezoid).
→ Trapezoid
Property Set 6:
- Opposite sides are equal
- 2 pairs of parallel sides
- No right angles
→ This is a Parallelogram that is not a rectangle or rhombus. General parallelograms have opposite sides equal and parallel, and if no right angles, then it’s not a rectangle.
→ Parallelogram
Now, let’s double-check against the word bank at the top:
Rectangle, Rhombus, Trapezoid, Square, Kite, Parallelogram — yes, all six are covered.
Also, note: Shape H looks like a kite (two pairs of adjacent equal sides), Shape F is a trapezoid (one pair of parallel sides), Shape D and G are parallelograms (but D might be a rhombus? Wait — actually, looking back, the properties define the answer, not the drawing. But since the drawings are provided, we can verify:
- Shape A: rectangle → matches Property Set 1
- Shape C: square → matches Property Set 3
- Shape D: looks like a rhombus (all sides equal, no right angles) → matches Property Set 2
- Shape F: trapezoid → matches Property Set 5
- Shape G: parallelogram (opposite sides parallel and equal, no right angles) → matches Property Set 6
- Shape H: kite → matches Property Set 4
Perfect — everything aligns.
So final mapping for the "Name:" blanks:
First box (Property Set 1): Rectangle
Second box (Property Set 2): Rhombus
Third box (Property Set 3): Square
Fourth box (Property Set 4): Kite
Fifth box (Property Set 5): Trapezoid
Sixth box (Property Set 6): Parallelogram
──────────────────────────────────────
Final Answer:
Rectangle
Rhombus
Square
Kite
Trapezoid
Parallelogram
We have 6 shapes labeled A, C, D, F, G, H (note: B and E are missing — probably not used).
And we have 6 property descriptions on the right. We need to fill in the “Name” for each description by matching it to the correct quadrilateral type from the list at the top: Rectangle, Rhombus, Trapezoid, Square, Kite, Parallelogram.
Also, note that some shapes may look similar but have different properties — so we must rely on the written properties, not just appearance.
---
Let’s list the properties and match them one by one:
Property Set 1:
> Opposite sides equal
> Opposite sides parallel
> 4 right angles
→ This is a Rectangle.
(All rectangles have opposite sides equal and parallel, and 4 right angles. Squares also fit this, but squares have *all* sides equal — which isn’t mentioned here, so rectangle is best fit.)
Looking at the shapes: Shape A is a rectangle (longer horizontally, 4 right angles). So Property Set 1 → Name: Rectangle
But wait — let’s check all sets first before assigning letters. Actually, the task is to write the NAME under each property set — not assign letters. The letters (A, C, etc.) are just labels for the shapes on the left — they’re probably there for reference or another part of the worksheet. Since the instructions say “Name: _______” under each property box, we just need to write the correct quadrilateral name for each property set.
So let’s ignore the letters for now and focus on matching properties to names.
---
Property Set 1:
- Opposite sides equal
- Opposite sides parallel
- 4 right angles
→ Rectangle
Property Set 2:
- All sides equal
- Opposite sides parallel
- Diagonals cross at right angles
- No right angles
→ This is a Rhombus that is NOT a square. Rhombus has all sides equal, opposite sides parallel, diagonals perpendicular, and if no right angles, then it’s not a square.
→ Rhombus
Property Set 3:
- All sides equal
- Opposite sides parallel
- 4 right angles
- Diagonals cross at right angles
→ This is a Square. It fits all: all sides equal, opposite sides parallel (actually all sides parallel in pairs), 4 right angles, and diagonals are perpendicular.
→ Square
Property Set 4:
- 2 pairs of equal adjacent sides
- Diagonals cross at right angles
→ This is a Kite. A kite has two distinct pairs of adjacent sides that are equal, and its diagonals intersect at right angles.
→ Kite
Property Set 5:
- 1 pair of parallel lines
→ This is a Trapezoid. By definition, a trapezoid has exactly one pair of parallel sides (in US curriculum; sometimes called trapezium elsewhere, but here it's trapezoid).
→ Trapezoid
Property Set 6:
- Opposite sides are equal
- 2 pairs of parallel sides
- No right angles
→ This is a Parallelogram that is not a rectangle or rhombus. General parallelograms have opposite sides equal and parallel, and if no right angles, then it’s not a rectangle.
→ Parallelogram
Now, let’s double-check against the word bank at the top:
Rectangle, Rhombus, Trapezoid, Square, Kite, Parallelogram — yes, all six are covered.
Also, note: Shape H looks like a kite (two pairs of adjacent equal sides), Shape F is a trapezoid (one pair of parallel sides), Shape D and G are parallelograms (but D might be a rhombus? Wait — actually, looking back, the properties define the answer, not the drawing. But since the drawings are provided, we can verify:
- Shape A: rectangle → matches Property Set 1
- Shape C: square → matches Property Set 3
- Shape D: looks like a rhombus (all sides equal, no right angles) → matches Property Set 2
- Shape F: trapezoid → matches Property Set 5
- Shape G: parallelogram (opposite sides parallel and equal, no right angles) → matches Property Set 6
- Shape H: kite → matches Property Set 4
Perfect — everything aligns.
So final mapping for the "Name:" blanks:
First box (Property Set 1): Rectangle
Second box (Property Set 2): Rhombus
Third box (Property Set 3): Square
Fourth box (Property Set 4): Kite
Fifth box (Property Set 5): Trapezoid
Sixth box (Property Set 6): Parallelogram
──────────────────────────────────────
Final Answer:
Rectangle
Rhombus
Square
Kite
Trapezoid
Parallelogram
Parent Tip: Review the logic above to help your child master the concept of sort quadrilaterals worksheet.