Pregunta
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3. Write all, some or no to complete the following sentences squares are rectangles. squares are rhombus kites are rhombus kite are square parallelogram are rectangles

Ask by Pope Herrera. in Ethiopia
Mar 17,2025

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- Squares are rectangles: All - Squares are rhombuses: All - Kites are rhombuses: Some - Kites are squares: No - Parallelograms are rectangles: Some

Solución

Let's analyze each statement one by one: 1. **Squares are rectangles.** - **Answer:** All. (Every square is a rectangle because it has all the properties of a rectangle: opposite sides are equal and all angles are right angles.) 2. **Squares are rhombuses.** - **Answer:** All. (Every square is a rhombus because it has all sides equal, which is a defining property of rhombuses.) 3. **Kites are rhombuses.** - **Answer:** Some. (Not all kites are rhombuses, but some kites can be rhombuses if they have all sides equal.) 4. **Kites are squares.** - **Answer:** No. (Kites are not necessarily squares; they can have unequal sides and angles.) 5. **Parallelograms are rectangles.** - **Answer:** Some. (Not all parallelograms are rectangles, but some parallelograms can be rectangles if they have right angles.) In summary: - Squares are rectangles: **All** - Squares are rhombuses: **All** - Kites are rhombuses: **Some** - Kites are squares: **No** - Parallelograms are rectangles: **Some**

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The Deep Dive

All squares are rectangles! Yes, every square meets the definition of a rectangle because it has four right angles and opposite sides that are equal. Squares are a special type of rectangle, so they fit perfectly into that category. As for kites, they can certainly be categorized as rhombuses. Kites have two distinct pairs of adjacent sides that are equal, and a rhombus is defined as a quadrilateral with all sides equal. However, not all kites are rhombuses since they don’t always have equal angles or sides like a square does. It's a geometric family reunion of sorts!

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