https://file.aiquickdraw.com/mathbot/file/1726978759976ny71xo2z.jpg

Let's work through the matching and multiple-choice questions from the image.

### Matching Section:
1. **Median of a trapezoid**:  
   - **d. segment connecting the midpoints of the nonparallel sides of a trapezoid**
   
2. **Diagonal of a polygon**:  
   - **g. a segment joining two nonconsecutive vertices**
   
3. **Trapezoid**:  
   - **e. a quadrilateral with only one pair of opposite sides parallel**
   
4. **Legs of a trapezoid**:  
   - **a. the two nonparallel sides of a trapezoid**
   
5. **Pentagon**:  
   - **f. a polygon with five sides**
   
6. **Rectangle**:  
   - **j. a parallelogram with four right angles**
   
7. **Quadrilateral**:  
   - **i. a polygon with four sides**
   
8. **Regular polygon**:  
   - **b. a polygon which is both equilateral and equiangular**
   
9. **Concave polygon**:  
   - **h. any polygon in which at least one of the interior angles measures greater than 180 degrees**
   
10. **Decagon**:  
   - **c. a polygon with ten sides**

### Underline the Best Answer:

11. **Two lines perpendicular to the same line are (medians, congruent, diagonals, parallel)**:
   - **Parallel**

12. **The sum of the measures of the angles of a parallelogram is (90, 180, 180n, 360)**:
   - **360**

13. **The sum of the exterior angles of a polygon is (180, 270, 360, 135)**:
   - **360**

14. **If the diagonals of a parallelogram are (acute, short, parallel, perpendicular) and congruent, the parallelogram is a square**:
   - **Perpendicular**

15. **A (rectangle, rhombus, parallelogram, trapezoid) always has four right angles**:
   - **Rectangle**

16. **A square is not a (rhombus, rectangle, trapezoid, parallelogram)**:
   - **Trapezoid**

17. **The median of a trapezoid is (parallel, perpendicular, opposite, congruent) to the bases**:
   - **Parallel**

Would you like further clarification on any of these answers or additional details? 

Here are 5 related questions for further exploration:
1. What is the formula for finding the median length of a trapezoid?
2. How do you prove that two lines are parallel?
3. Why does the sum of the exterior angles of any polygon always equal 360 degrees?
4. How does the property of diagonals help classify different quadrilaterals like rectangles and squares?
5. What differentiates a concave polygon from a convex polygon?

**Tip**: For any polygon, the sum of the interior angles can be calculated using the formula \( 180(n-2) \), where \( n \) is the number of sides.

Matching terms and multiple-choice geometry questions, focusing on polygons, trapezoids, parallelograms, and their properties.

This worksheet focuses on understanding the properties of polygons, trapezoids, and parallelograms through matching terms and multiple-choice questions. Key concepts include the sum of angles, perpendicular lines, and identifying specific polygons. Suitable for middle school students.

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