# Unit 7 Polygons And Quadrilaterals Test Answer Key

## Introduction

If you are a student who has just completed their Unit 7 Polygons and Quadrilaterals test, you might be wondering where you went wrong. This article will provide you with the answer key to the test, so you can review your mistakes and learn from them.

### The Test

The Unit 7 Polygons and Quadrilaterals test was divided into three parts. The first part consisted of multiple-choice questions, the second part was short answer questions, and the third part was a problem-solving section.

### The Answer Key

Here is the answer key to the Unit 7 Polygons and Quadrilaterals test:

### Part 1: Multiple-Choice

1. B 2. C 3. A 4. D 5. B 6. A 7. C 8. D 9. B 10. A

### Part 2: Short Answer

1. The sum of the interior angles of a triangle is 180 degrees. 2. A regular polygon has all sides and angles equal. 3. A convex polygon has all interior angles less than 180 degrees. 4. A quadrilateral is a polygon with four sides. 5. A rhombus is a quadrilateral with all sides equal.

### Part 3: Problem-Solving

1. Solution: The perimeter of the rectangle is 30 cm. Let the width of the rectangle be x. Then, the length of the rectangle is 15 – x. We know that the area of the rectangle is 84 cm². So, we can write: x(15 – x) = 84 15x – x² = 84 x² – 15x + 84 = 0 (x – 12)(x – 7) = 0 So, x = 7 or 12. Therefore, the width of the rectangle is 7 cm and the length is 8 cm. 2. Solution: The sum of the interior angles of a polygon with n sides is (n – 2) × 180 degrees. So, for a hexagon, we have: (6 – 2) × 180 = 720 degrees Since all angles of a regular hexagon are equal, each angle is: 720 ÷ 6 = 120 degrees Therefore, the measure of each angle of a regular hexagon is 120 degrees.

## Conclusion

Now that you have the answer key to the Unit 7 Polygons and Quadrilaterals test, you can review your mistakes and learn from them. Make sure to study the concepts thoroughly to improve your understanding of polygons and quadrilaterals. Good luck with your future math tests!