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Sagot :
To determine which of the following quadrilaterals does not have any pair of adjacent equal sides, let's analyze the properties of each shape:
1. A rhombus:
- All four sides of a rhombus are of equal length.
- Therefore, it has pairs of adjacent sides that are equal.
2. A kite:
- A kite has two distinct pairs of adjacent sides that are equal.
- Therefore, it has pairs of adjacent sides that are equal.
3. A parallelogram:
- In a parallelogram, opposite sides are equal, but adjacent sides are not necessarily equal.
- This means a parallelogram does not need to have any pair of adjacent equal sides by its universal properties.
4. A square:
- All four sides of a square are of equal length.
- Therefore, a square has pairs of adjacent sides that are equal.
Based on the properties of these quadrilaterals, the shape that does not have any pair of adjacent equal sides is:
A parallelogram
1. A rhombus:
- All four sides of a rhombus are of equal length.
- Therefore, it has pairs of adjacent sides that are equal.
2. A kite:
- A kite has two distinct pairs of adjacent sides that are equal.
- Therefore, it has pairs of adjacent sides that are equal.
3. A parallelogram:
- In a parallelogram, opposite sides are equal, but adjacent sides are not necessarily equal.
- This means a parallelogram does not need to have any pair of adjacent equal sides by its universal properties.
4. A square:
- All four sides of a square are of equal length.
- Therefore, a square has pairs of adjacent sides that are equal.
Based on the properties of these quadrilaterals, the shape that does not have any pair of adjacent equal sides is:
A parallelogram
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