https://file.aiquickdraw.com/mathbot/file/172607421216245t7m2bf.jpg

From the image, Jason is given the following facts about the lines in the diagram:

1. \( \overleftrightarrow{AK} \parallel \overleftrightarrow{KB} \)
2. \( \overleftrightarrow{AK} \parallel \overleftrightarrow{EP} \)
3. \( \overleftrightarrow{AK} \parallel \overleftrightarrow{CB} \)

We need to determine which other statements can be concluded as true. The available choices are:

1. \( m \angle EJM = 90^\circ \)
2. \( \overleftrightarrow{KB} \parallel \overleftrightarrow{DM} \)
3. \( \overleftrightarrow{KB} \perp \overleftrightarrow{CB} \)
4. \( m \angle JFB = 90^\circ \)

### Analyzing the Diagram:
- The lines \( \overleftrightarrow{AK}, \overleftrightarrow{EP}, \overleftrightarrow{KB}, \overleftrightarrow{CB} \) are all parallel to each other, implying that these are part of a rectangular grid.
- Perpendicularity of other lines can be inferred if they intersect the parallel lines at right angles.
- \( \overleftrightarrow{KF} \), which is shown as perpendicular to \( \overleftrightarrow{AK} \), suggests that other lines parallel to it may also be perpendicular to the parallel lines of \( \overleftrightarrow{AK} \).

### Conclusion of Facts:
1. \( m \angle EJM = 90^\circ \) is correct because the perpendicularity implies that lines intersect at right angles.
2. \( \overleftrightarrow{KB} \parallel \overleftrightarrow{DM} \) is correct because these lines appear to run vertically and are parallel to each other.
3. \( \overleftrightarrow{KB} \perp \overleftrightarrow{CB} \) is incorrect since these two lines are parallel.
4. \( m \angle JFB = 90^\circ \) is correct since the diagram shows a right angle at point \( F \).

### Final Answer:
- \( m \angle EJM = 90^\circ \)
- \( \overleftrightarrow{KB} \parallel \overleftrightarrow{DM} \)
- \( m \angle JFB = 90^\circ \)

Would you like further clarification on any of the conclusions?

Here are 5 follow-up questions:
1. What is the relationship between parallel and perpendicular lines in this diagram?
2. Can Jason conclude any other angles are right angles in this configuration?
3. Why is \( \overleftrightarrow{KB} \perp \overleftrightarrow{CB} \) an incorrect conclusion?
4. How does the perpendicularity of \( \overleftrightarrow{KF} \) affect the rest of the diagram?
5. Can any other pairs of lines be identified as parallel or perpendicular based on the given information?

**Tip:** When analyzing geometric diagrams, parallel and perpendicular relationships help simplify complex configurations by grouping lines into predictable patterns.

Jason knows that AK is parallel to KB, AK is parallel to EP, and AK is parallel to CB. Which other facts can Jason conclude are true? The options are: 
1. m∠EJM = 90°
2. KB is parallel to DM
3. KB is perpendicular to CB
4. m∠JFB = 90°

In this problem, Jason knows that several lines are parallel. Based on this, he needs to conclude which other facts, including angles and line relationships, are true. This geometry problem covers concepts of parallelism, perpendicularity, and right angles. Suitable for students in Grades 7-10.

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