Problem Overview:
The task is to match the given quadrilaterals (shapes) with their corresponding properties. The quadrilaterals are labeled as
F, D, C, A, G, H, and the properties are listed in a table on the right side of the worksheet.
Step-by-Step Solution:
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1. Identify the Quadrilaterals:
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F: This shape has one pair of parallel sides. It is a
trapezoid.
-
D: This shape has opposite sides equal and parallel, but no right angles. It is a
rhombus.
-
C: This shape has all sides equal, opposite sides parallel, and 4 right angles. It is a
square.
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A: This shape has opposite sides equal and parallel, and 4 right angles. It is a
rectangle.
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G: This shape has opposite sides equal and parallel, but no right angles. It is a
parallelogram.
-
H: This shape has two pairs of equal adjacent sides, and diagonals cross at right angles. It is a
kite.
####
2. Match the Quadrilaterals with Their Properties:
Now, we will match each quadrilateral with the correct set of properties from the table.
#####
Property 1:
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Name: Trapezoid
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Properties: Opposite sides equal, Opposite sides parallel, 4 right angles.
-
Match: This description does not perfectly fit any of the shapes because a trapezoid typically has only one pair of parallel sides. However, based on the options,
F (trapezoid) is the closest match, even though it doesn't have 4 right angles.
#####
Property 2:
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Name: Rhombus
-
Properties: All sides equal, Opposite sides parallel, Diagonals cross at right angles, No right angles.
-
Match: D (rhombus) fits this description perfectly.
#####
Property 3:
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Name: Square
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Properties: All sides equal, Opposite sides parallel, 4 right angles, Diagonals cross at right angles.
-
Match: C (square) fits this description perfectly.
#####
Property 4:
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Name: Kite
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Properties: 2 pairs of equal adjacent sides, Diagonals cross at right angles.
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Match: H (kite) fits this description perfectly.
#####
Property 5:
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Name: Trapezoid
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Properties: 1 pair of parallel lines.
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Match: F (trapezoid) fits this description perfectly.
#####
Property 6:
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Name: Parallelogram
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Properties: Opposite sides are equal, 2 pairs of parallel sides, No right angles.
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Match: G (parallelogram) fits this description perfectly.
#####
Property 7:
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Name: Rectangle
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Properties: Opposite sides equal, Opposite sides parallel, 4 right angles.
-
Match: A (rectangle) fits this description perfectly.
####
Final Matching:
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F: Trapezoid
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D: Rhombus
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C: Square
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A: Rectangle
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G: Parallelogram
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H: Kite
Final Answer:
\[
\boxed{
\begin{array}{ll}
\text{F} & \text{Trapezoid} \\
\text{D} & \text{Rhombus} \\
\text{C} & \text{Square} \\
\text{A} & \text{Rectangle} \\
\text{G} & \text{Parallelogram} \\
\text{H} & \text{Kite} \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of properties of quadrilaterals worksheet.
