Problem Analysis:
The task involves matching quadrilaterals with their definitions and answering a question about the similarities and differences between rectangles and squares. Let's solve it step by step.
---
Step 1: Match the Quadrilateral with Its Definition
#### Definitions of Quadrilaterals:
1.
All sides are the same length. There are four right angles.
- This describes a
square. A square has all sides equal in length and all angles are right angles (90°).
-
Match: e. Square
2.
There is only one pair of parallel sides.
- This describes a
trapezoid. A trapezoid has exactly one pair of parallel sides.
-
Match: c. Trapezoid
3.
Opposite sides are parallel and the same length. There are four right angles.
- This describes a
rectangle. A rectangle has opposite sides that are parallel and equal in length, and all angles are right angles.
-
Match: b. Rectangle
4.
There are two pairs of parallel sides. All sides are the same length.
- This describes a
rhombus. A rhombus has two pairs of parallel sides, and all sides are equal in length.
-
Match: d. Rhombus
5.
There are two pairs of opposite parallel sides.
- This describes a
parallelogram. A parallelogram has two pairs of opposite sides that are parallel.
-
Match: a. Parallelogram
---
Step 2: List Two Ways a Rectangle and Square Are Alike and One Way They Are Different
#### Similarities Between Rectangles and Squares:
1.
Both have four right angles.
- Both shapes have interior angles that measure 90°.
2.
Both have opposite sides that are parallel and equal in length.
- In both shapes, opposite sides are parallel and have the same length.
#### Difference Between Rectangles and Squares:
1.
All sides of a square are equal, but a rectangle only has opposite sides equal.
- A square has all four sides of equal length, while a rectangle has only opposite sides of equal length.
---
Final Answer:
1.
All sides are the same length. There are four right angles.
- Match:
e. Square
2.
There is only one pair of parallel sides.
- Match:
c. Trapezoid
3.
Opposite sides are parallel and the same length. There are four right angles.
- Match:
b. Rectangle
4.
There are two pairs of parallel sides. All sides are the same length.
- Match:
d. Rhombus
5.
There are two pairs of opposite parallel sides.
- Match:
a. Parallelogram
6.
Two ways a rectangle and square are alike:
- Both have four right angles.
- Both have opposite sides that are parallel and equal in length.
One way they are different:
- All sides of a square are equal, but a rectangle only has opposite sides equal.
---
Boxed Final Answer:
\[
\boxed{
\begin{array}{ll}
1. & \text{e. Square} \\
2. & \text{c. Trapezoid} \\
3. & \text{b. Rectangle} \\
4. & \text{d. Rhombus} \\
5. & \text{a. Parallelogram} \\
6. & \text{Alike: Both have four right angles; Both have opposite sides parallel and equal.} \\
& \text{Different: All sides of a square are equal, but a rectangle only has opposite sides equal.}
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of quadrilateral worksheet 3rd grade.
