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To excel in problems determining the coordinates of points to form rectangles; prove a triangle is a right-angled triangle,... students can refer to Solving eighth-grade math on pages 60, 61, 62, 63, 64, 65 of the Kite book Volume 1 - Exercise 2: Coordinate Plane - Graphs of Functions.
Solving Eighth-grade Math Kite Book Volume 1 pages 60, 61, 62, 63, 64, 65
Exercise 2: Coordinate Plane - Graphs of Functions
Solving Eighth-grade Math Kite Book Volume 1 page 64
1. Solve problem 1 - Kite Eighth-grade Volume 1 page 64
Problem Statement:
Among the following statements, which one is correct, and which one is incorrect?
a) Points on the abscissa have a y-coordinate of 0.
b) Points on the abscissa have an x-coordinate of 0.
c) Points on the ordinate have a y-coordinate of 0.
d) Points on the ordinate have an x-coordinate of 0.
Solution Method:
Draw the coordinate plane and observe
Answer:
- The correct statements are: a, d
- The incorrect statements are: b, c
2. Solve problem 2 - Kite Eighth-grade Volume 1 page 64
Problem Statement:
In each case, which quadrant does point M(a; b) belong to?
Solution Method:
Draw the coordinate plane and observe
Answer:
a) Point M belongs to the first quadrant
b) Point M belongs to the fourth quadrant
c) Point M belongs to the second quadrant
d) Point M belongs to the third quadrant
3. Solve problem 3 - Kite Eighth-grade Volume 1 page 64
Problem Statement:
Determine the coordinates of point A in each of the following cases:
a) Abscissa equals -3 and ordinate equals 5
b) Abscissa equals -2 and lies on the abscissa axis
c) Ordinate equals -4 and lies on the ordinate axis
Solution Method:
Draw the coordinate plane
Answer:
Solving Eighth-grade Math Kite Book Volume 1 page 65
4. Solve problem 4 - Kite Eighth-grade Volume 1 page 65
Problem Statement:
In the coordinate plane Oxy, describe how to determine point A(-3; -5).
Solution Method:
Apply the method of determining points on the coordinate plane
Answer:
Passing through the point -5 on the Oy axis, draw a line perpendicular to the Ox axis
Passing through the point -3 on the Ox axis, draw a line perpendicular to the Oy axis
The two lines intersect at point A(-3; -5)
5. Solve problem 5 - Kite Eighth-grade Volume 1 page 70
Problem Statement:
For triangle ABC
a) Determine the coordinates of points A, B, C.
b) Is triangle ABC a right-angled triangle or not?
c) Determine the coordinates of point D to make quadrilateral ABCD a rectangle.
Solution Method:
Observe the drawing to answer the questions
Answer:
a) Determine the coordinates of points: A(-2; 3); B(-2; 0); C(2, 0)
b) Triangle ABC is a right-angled triangle.
c) Determine the coordinates of point D to make quadrilateral ABCD a rectangle: D(2; 3)
6. Solve problem 6 - Kite Eighth-grade Volume 1 page 65
Problem Statement:
Enter the phrase 'Ben Thanh Market' on the page https://google.com/maps, then right-click on that location on the map to get information about longitude and latitude. Write the geographical coordinates of Ben Thanh Market in Ho Chi Minh City.
Solution Method:
Observe the map
Answer:
Geographical coordinates of Ben Thanh Market in Ho Chi Minh City (10.77313; 106.69981)
7. Solve problem 7 - Kite Eighth-grade Volume 1 page 65
Problem Statement:
Forecasted temperature at some points in Ho Chi Minh City on May 25, 2022
a) Write a function representing the temperature forecast y (in degrees Celsius) at time x (in hours) in Ho Chi Minh City.
b) In the coordinate plane Oxy, plot the points with coordinates as pairs (x; y) corresponding to the table written in question a.
c) In the coordinate plane Oxy, does the point (15; 24) belong to the graph of the function given by the table above? Why or why not?
Solution Method:
Observe the drawing to determine the coordinates
Answer:
a)
b) In the coordinate plane Oxy, represent the points with coordinates as pairs (x; y) corresponding to the table written in question a.
On the coordinate axis, we set the reference point at 13:00, corresponding to 1 on the Ox axis and 33 on the Oy axis. So, we represent the points as follows:
c) In the coordinate plane Oxy, the point (15; 24) does not belong to the graph of the function given by the table above.
Above is the guide for solving math problems for 8th grade on pages 60, 61, 62, 63, 64, 65 of Kite Volume 1 Coordinate Plane - Graphs of Functions. To prepare for the next lesson, you can preview the section on Solving 8th-grade math problems on pages 67, 68, 69, 70 of Kite Volume 1 - Exercise 3: Linear Functions y = ax + b (a not equal to 0). Additionally, the section on Solving 8th-grade math problems on pages 55, 56, 57, 58, 59 of Kite Volume 1 - Exercise 1: Functions will help reinforce the knowledge you have learned. You can review the answers here. Good luck with your math studies.
Refer to other 8th-grade math materials:
- Solving 8th-grade math problems with Kite books
