To classify the quadrilaterals in the provided worksheet, we need to identify each shape based on its properties. Here's a step-by-step explanation for each figure:
Step 1: Understand the Properties of Each Quadrilateral
1.
Square: All sides are equal, and all angles are 90°.
2.
Rectangle: Opposite sides are equal, and all angles are 90°.
3.
Rhombus: All sides are equal, but angles can vary (not necessarily 90°).
4.
Parallelogram: Opposite sides are parallel and equal, but angles can vary.
5.
Trapezoid: One pair of opposite sides is parallel.
6.
Scalene (Irregular): No sides or angles are equal.
Step 2: Analyze Each Figure
####
Figure 1
- The shape has two pairs of parallel sides, but the sides are not equal.
-
Classification: Parallelogram
####
Figure 2
- The shape has four equal sides and four right angles.
-
Classification: Square
####
Figure 3
- The shape has opposite sides that are equal and parallel, and all angles are 90°.
-
Classification: Rectangle
####
Figure 4
- The shape has one pair of parallel sides.
-
Classification: Trapezoid
####
Figure 5
- The shape has two pairs of parallel sides, but the sides are not equal.
-
Classification: Parallelogram
####
Figure 6
- The shape has one pair of parallel sides.
-
Classification: Trapezoid
####
Figure 7
- The shape has two pairs of parallel sides, but the sides are not equal.
-
Classification: Parallelogram
####
Figure 8
- The shape has opposite sides that are equal and parallel, and all angles are 90°.
-
Classification: Rectangle
####
Figure 9
- The shape has two pairs of parallel sides, but the sides are not equal.
-
Classification: Parallelogram
Final Answer
1. Parallelogram
2. Square
3. Rectangle
4. Trapezoid
5. Parallelogram
6. Trapezoid
7. Parallelogram
8. Rectangle
9. Parallelogram
Boxed Answer:
\[
\boxed{
\text{1. Parallelogram, 2. Square, 3. Rectangle, 4. Trapezoid, 5. Parallelogram, 6. Trapezoid, 7. Parallelogram, 8. Rectangle, 9. Parallelogram}
}
\]
Parent Tip: Review the logic above to help your child master the concept of quadrilaterals review worksheet answers.