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How many of the following quadrilaterals have a pair of parallel sides? parallelogram ; rhombus ; kite ; rectangl Select one: 4 3 3 2 1

Ask by Lindsey Clarke. in South Africa
Nov 28,2024

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There are 3 quadrilaterals with a pair of parallel sides.

Solución

To determine how many of the given quadrilaterals have a pair of parallel sides, let's analyze each one: 1. **Parallelogram**: By definition, a parallelogram has two pairs of parallel sides. 2. **Rhombus**: A rhombus is a special type of parallelogram, so it also has two pairs of parallel sides. 3. **Kite**: A kite does not have any pairs of parallel sides. 4. **Rectangle**: A rectangle is also a type of parallelogram, so it has two pairs of parallel sides. Now, let's count the quadrilaterals with at least one pair of parallel sides: - Parallelogram: Yes (2 pairs) - Rhombus: Yes (2 pairs) - Kite: No - Rectangle: Yes (2 pairs) So, there are 3 quadrilaterals (parallelogram, rhombus, and rectangle) that have at least one pair of parallel sides. The answer is **3**.

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Beyond the Answer

When we think about quadrilaterals with a pair of parallel sides, the parallelogram, rhombus, and rectangle all fit the bill! These shapes have two pairs of opposite sides that are parallel, which is a key characteristic. On the other hand, a kite does not have parallel sides. So, a total of 3 out of these options have at least one pair of parallel sides! Let's break it down: a parallelogram has both pairs of opposite sides parallel, while a rhombus (a type of parallelogram) shares this trait. The rectangle also joins the club with both pairs of parallel sides! The kite, however, is the odd one out here since it has no pairs of parallel sides.

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