https://file.aiquickdraw.com/mathbot/file/1726757874119nncrki9y.jpg

Let's analyze the given quadrilaterals and the statements:

### Quadrilateral Information:
- The quadrilateral \(EFGH\) is a scaled copy of quadrilateral \(ABCD\).
- Dimensions:
  - \(ABCD\): \(AB = 3\), \(BC = 4\), \(CD = 6\), and \(DA = 8\).
  - \(EFGH\): \(FG = 6\), \(GH = 12\), and we need to determine other values.

### Scale Factor:
Since \(FG = 6\) and \(AB = 3\), the scale factor between \(ABCD\) and \(EFGH\) is \(2\) (i.e., \(6 / 3 = 2\)).

### Analyzing the Statements:
1. **Segment \(EF\) is twice as long as segment \(AB\)**:
   - \(EFGH\) is a scaled copy, and the scale factor is \(2\).
   - Since \(AB = 3\), the length of \(EF\) should be \(2 \times 3 = 6\).
   - **True**.

2. **Segment \(CD\) is twice as long as segment \(FG\)**:
   - \(CD = 6\) and \(FG = 6\). They are equal, not double.
   - **False**.

3. **The measure of angle \(HEF\) is twice the measure of angle \(DAB\)**:
   - Since the quadrilaterals are similar, corresponding angles remain the same.
   - \( \angle HEF = \angle DAB\), not twice.
   - **False**.

4. **The length of segment \(EH\) is 16 units**:
   - Using the scale factor, \(DA = 8\), so \(EH = 2 \times 8 = 16\).
   - **True**.

5. **The area of \(EFGH\) is twice the area of \(ABCD\)**:
   - The area scales by the square of the linear scale factor. Since the scale factor is 2, the area of \(EFGH\) is \(4\) times the area of \(ABCD\), not twice.
   - **False**.

### Correct Answers:
- The true statements are:
  1. Segment \(EF\) is twice as long as segment \(AB\).
  4. The length of segment \(EH\) is 16 units.

Would you like further clarification on any of these points?

### Related Questions:
1. How do you find the scale factor between similar quadrilaterals?
2. How does the area of a shape change when scaled by a factor?
3. What is the relationship between corresponding angles in similar figures?
4. How do you calculate the length of sides in a scaled figure?
5. How do linear scaling and area scaling differ in geometry?

### Tip:
For similar figures, the ratio of areas is the square of the ratio of corresponding side lengths.

Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select all of the true statements.

This problem examines the properties of scaled quadrilaterals EFGH and ABCD, involving the calculation of side lengths and areas based on a given scale factor. Suitable for students in Grades 8-10.

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