Math 8 (Write your answer in your notebook) Answer the ff questions: 1. What term describes points that lie on the same straight line? 2. Define coplanar points and coplanar lines in geometry. Illustrate them. 3. Illustrate parallel lines. 4. When two lines intersect, what is the term for the common point where they meet? 5. How do you define an angle in geometry? 6. What is the term for a part of a line that has two endpoints? 7. Define a ray in the context of geometry. 8. Describe opposite rays and provide an example. 9. If two lines are coplanar and do not intersect, what term describes them? 10. What is the term for lines that are in the same plane and do not intersect?​

Answer:

Here are the answers to your math questions:

1. The term that describes points that lie on the same straight line is "collinear points."

2. In geometry, coplanar points are points that lie on the same plane, while coplanar lines are lines that lie on the same plane. Here's an illustration:

Coplanar Points and Lines

3. Parallel lines are lines that never intersect, no matter how far they are extended. Here's an illustration:

Parallel Lines

4. When two lines intersect, the term for the common point where they meet is the "point of intersection."

5. In geometry, an angle is defined as the figure formed by two rays with a common endpoint called the vertex. It is usually measured in degrees.

6. The term for a part of a line that has two endpoints is a "line segment."

7. A ray is a part of a line that has one endpoint and extends infinitely in one direction. It is named by its endpoint and another point on the ray. Here's an illustration:

Ray

8. Opposite rays are two rays that have the same endpoint and extend in opposite directions, forming a straight line. An example would be a line segment AB with endpoint A and endpoint B, and its opposite rays would be ray AC and ray CB.

9. If two lines are coplanar and do not intersect, they are called "parallel lines."

10. The term for lines that are in the same plane and do not intersect is "coplanar lines."

I hope these answers help you with your math questions! If you have any more questions, feel free to ask.

Answer:

Sure, let's go through each question:

1. **What term describes points that lie on the same straight line?**

- The term for points that lie on the same straight line is called "collinear points."

2. **Define coplanar points and coplanar lines in geometry. Illustrate them.**

- Coplanar points are points that lie on the same plane. Coplanar lines are lines that exist in the same plane. Imagine three points A, B, and C on a flat surface, and lines AB and BC lying on the same plane - these would be examples of coplanar points and lines.

3. **Illustrate parallel lines.**

- Parallel lines are two or more lines that are always the same distance apart and will never intersect. You can draw two straight lines on a piece of paper that run alongside each other without crossing.

4. **When two lines intersect, what is the term for the common point where they meet?**

- The common point where two lines intersect is called the "point of intersection."

5. **How do you define an angle in geometry?**

- An angle in geometry is formed by two rays that share a common endpoint. The common endpoint is called the vertex, and the two rays are the sides of the angle.

6. **What is the term for a part of a line that has two endpoints?**

- A part of a line that has two endpoints is called a "line segment."

7. **Define a ray in the context of geometry.**

- A ray is a part of a line that has one endpoint and extends infinitely in one direction.

8. **Describe opposite rays and provide an example.**

- Opposite rays are two collinear rays that share the same endpoint and extend in opposite directions. For example, if you have a ray AB, the opposite rays would be ray AB and ray BA.

9. **If two lines are coplanar and do not intersect, what term describes them?**

- If two coplanar lines do not intersect, they are called "parallel lines."

10. **What is the term for lines that are in the same plane and do not intersect?**

- Lines that are in the same plane and do not intersect are called "coplanar parallel lines."

Feel free to ask if you have any more questions or if you need further clarification on any of the concepts!