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Here are the solutions and answers for the "Knowledge Check" in the image you provided:

### 1. Which of these figures is a concave polygon?
- A concave polygon has at least one interior angle greater than 180 degrees, and some of its vertices "point inward."
- **Answer**: **A**. This figure is concave because it has angles that point inward.

### 2. Which of the following descriptions states a fact about the exterior angles of a regular polygon?
- The exterior angles of any polygon always sum to 360 degrees, and for a regular polygon, all exterior angles are equal.
- **Answer**: **D**. The exterior angles of a polygon are **supplementary** to the interior angles, and their total sum is 360 degrees.

### 3. Which of the following quadrilaterals is NOT the same as the others?
- This is a question about the sequence of the vertices of a quadrilateral. We need to check the vertex order for each:
  - A: ABCD
  - B: DCBA (reverse of ABCD, which is still the same quadrilateral)
  - C: CBAD (different from ABCD)
  - D: CBDA (also different from ABCD)
  
  **Answer**: **C**. The sequence **CBAD** does not match the others in any rotational or reverse order.

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Would you like more details or explanations on any of these answers?

Here are 5 related questions to expand your understanding:
1. What are the characteristics that define concave and convex polygons?
2. How do you calculate the sum of interior angles for a polygon?
3. What are the properties of the exterior angles of an irregular polygon?
4. Can a triangle ever be concave?
5. How does the vertex order affect the identification of quadrilaterals?

**Tip**: When dealing with polygons, always check the interior and exterior angles to better understand the shape's properties.

1. Which of these figures is a concave polygon? 2. Which of the following descriptions states a fact about the exterior angles of a regular polygon? 3. Which of the following quadrilaterals is NOT the same as the others?

Test your knowledge on concave polygons and the properties of exterior angles of regular polygons. This exercise helps students in Grades 6-8 understand key mathematical concepts like polygon angles and quadrilateral vertex sequences.

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