A quadrilateral shaped photo frame has all sides equal. Which of the following is not a possible shape for the photo frame ?

Options

A. Square
B. Rectangle
C. Rhombus
D. None of these

Answer

To solve the question, "A quadrilateral shaped photo frame has all sides equal. Which of the following is not a possible shape for the photo frame?" we can follow these steps:

### Step 1: Understand the properties of quadrilaterals
A quadrilateral is a four-sided figure. For a quadrilateral to have all sides equal, it must be classified as a specific type of quadrilateral.

**Hint:** Recall the definitions of different types of quadrilaterals.

### Step 2: Identify types of quadrilaterals with equal sides
The most common quadrilaterals that have all sides equal are:
- **Square**: All sides are equal and all angles are right angles.
- **Rhombus**: All sides are equal, but angles are not necessarily right angles.

**Hint:** Think about the characteristics of squares and rhombuses.

### Step 3: Consider other quadrilaterals
Now, let's consider other quadrilaterals:
- **Rectangle**: Opposite sides are equal, but adjacent sides can be different. Therefore, not all sides are equal.

**Hint:** Compare the properties of a rectangle with those of a square and rhombus.

### Step 4: Determine which shape cannot be a photo frame
Since the question asks for a shape that cannot be a quadrilateral with all sides equal, we conclude that:
- A rectangle is not a possible shape for the photo frame because it does not have all sides equal.

**Hint:** Review the definitions of the shapes to confirm your answer.

### Final Answer:
The shape that is not a possible option for the photo frame is a **rectangle**.