Math 6 Chapter 1 Lesson 1: Score. Straight line
1. Summary of theory Tóm
The little dot on the page is an image of the point. People use capital letters A, B, C… to name points.
1.2. Straight line
With a pen and a ruler, we can draw a straight line. We use straight lines to represent a straight line.
People use lowercase letters a, b, …,m,p.. to name straight lines.
1.3. Point on the line. The point is not on the line.
Look at the picture and say:
– Point A lies on the line d and is denoted by \(A \in d\)
. We also say: point A lies on line d, or line d passes through point A, or line d contains point A.
– Point B is not on the line d and is denoted by \(B \notin d\). We also say: point B lies outside of line d, or line d does not pass through point B, or line d does not contain point B.
2. Illustrated exercise
Question 1: Look at the picture and answer the following questions:
a. Which point does point M belong to?
b. What points does the line a contain and what points does it not?
c. The line does not pass through the point N?
d. Which point lies outside the line c?
e. On which line is point P and not on which line?
a. \(M\,\, \in \,\,a,\,\,M\, \in \,\,b\)
b. \(M\,\, \in \,\,a,\,\,N\,\, \in \,\,a,\,\,P\,\, \notin \,\,a\)
c. \(N \notin b\)
d. \(M\,\, \notin \,\,c\)
e. \(P\,\, \in \,\,b,\,\,P\,\, \in \,\,c,\,\,P \notin a\)
Usual way of writing:
a. Point M lies on the line a and the line b
b. The line a contains the points M, N and does not contain P.
c. The line b does not pass through the point N.
d. Point M lies outside the line c.
e. Point P lies on lines b, c but not on lines a.
a. Draw a line a
b. Draw \(A\,\, \in \,\,a,\,\,B\,\, \in \,\,a,\,\,C\, \notin \,a,\,\, D \notin \,\,a\)
3.1. Essay exercises
Question 1: Draw each figure in terms of words in each of the following situations:
a. Two points A and B are on the same line a.
b. The line b does not pass through the two points M and N.
c. The line c passes through two points H and K and does not contain two points U and V.
d. Point X lies on both lines d and t, point Y belongs only to line d and lies outside of line t, line t passes through point Z and line d does not contain point Z.
e. Point U lies on both lines m, n and not on line p; point V belongs to both lines n, p and lies outside the line m; two lines p and m both pass through the point R and the line n does not contain the point R.
Verse 2: Based on Figure 1 below, match each idea in column A with only one idea in column B to get the correct result.
1) Grade A
a) not on the lines m, n and d
b) lie on both lines m, n and d
3) OVER POINT
c) lies on both lines n and d
4) EASY Score
d) belongs to both lines m and n
e) on both lines m and n
3.2. Multiple choice exercises Bài
Question 1: How many lines are there in the following figure?
Verse 2: Choose the incorrect statement:
A. A point can belong to many lines at the same time.
B. Given a given line a, there are points on a and points not on a.
C. On a straight line there is only one point.
D. A point can belong to two lines at the same time.
Question 3: What points does the line a contain?
A. N, USA
B. M, WILL
C. N, WILL
D. N, M, WILL
Question 4: The line f contains no points?
D. All 3 points S, R, Q
Question 5: Given the following figure:
Choose the incorrect statement:
A. The point Q is not on the lines b, c, and a
B. Point N lies on the lines b and c
C. Point P is not on the lines c and a
D. Point M lies on the lines a and b
Through this Point and Line lesson, students need to complete some of the objectives given by the lesson, such as:
- Point and line concept.
- Identify points on a line and points not on a line.