- A8
- B7
- C6
- D14
Step-by-Step Solution
Bisecting means each diagonal is cut into two equal halves. Half of 14 cm = 7 cm.
Answer: B) 7
The diagonals of a parallelogram bisect each other. If one diagonal is 14 cm, each half measures ____ cm.
Class 8Understanding QuadrilateralsQuadrilaterals
Key idea: Properties of a parallelogram
Every parallelogram has these four properties (any one of them implies the others, in fact):
1. **Opposite sides are parallel** (definition).
2. **Opposite sides are equal in length.**
3. **Opposite angles are equal.**
4. **Diagonals bisect each other** (each diagonal cuts the other into two equal halves).
Also: **consecutive angles are supplementary** (sum to 180°). So if one angle of a parallelogram is 70°, the next is 110°, the next 70°, the last 110°.
1. **Opposite sides are parallel** (definition).
2. **Opposite sides are equal in length.**
3. **Opposite angles are equal.**
4. **Diagonals bisect each other** (each diagonal cuts the other into two equal halves).
Also: **consecutive angles are supplementary** (sum to 180°). So if one angle of a parallelogram is 70°, the next is 110°, the next 70°, the last 110°.
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