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Solve Math problems for 3rd grade on pages 77 and 78 of the book Horizon of Creativity Volume 1
Solve exercises on pages 77 and 78 of Math 3 Book 1, the book Horizon of Creativity:
The Midpoint. Midpoint of a Line Segment
Practical Section
1. Solve Exercise 1 Page 77 Math Grade 3
Problem: Observe the drawing.
a. Identify three collinear points. Among the three points mentioned, which one is the midpoint of the other two?
b. Is D the midpoint of segment CE?
Is G the midpoint of segment HE?
Solution: Students observe the drawing to answer questions.
Answer:
a. C, D, E are three collinear points. Point D is the midpoint between points C and E.
H, G, E are three collinear points. Point G is the midpoint between points H and E.
H, L, K are three collinear points. Point L is the midpoint between points H and K.
b. D is the midpoint of CE because D is the point between C and E, and DC = DE.
G is not the midpoint of segment HE because GE > GH.
2. Solve Exercise 2 Page 77 Math Grade 3
Problem: a. Here is a method for determining the midpoint of a line segment.
Explain why N is the midpoint of the line segment ST.
b, Draw line segment AB with a length of 10 cm.
Determine the midpoint M of line segment AB.
Guide:
a, To establish N as the midpoint of ST, show that N is the point between S and T; NS = NT.
b, Use a straightedge to draw line segment AB with a length of 10 cm and then find the midpoint M.
Result:
a. N is the point between S and T, and NS = NT = 3 cm.
Therefore, N is the midpoint of line segment ST.
b. Draw line segment AB = 10 cm.
On line segment AB, choose point M such that MA = MB = 5 cm.
- See more: Solve exercises on pages 79 and 80 in Math 3 Book 1, the book Horizon of Creativity
Practice Section
1. Solve Exercise 1 Page 78 Math Grade 3
Problem: Which statements are true, and which are false?
a. O is the midpoint of line segment AB.
b. M is the midpoint of line segment CD.
c. K is the point between P and Q.
d. K is the midpoint of line segment PQ.
Solution: Observe the drawing and answer the questions.
Answer:
- O is the midpoint of line segment AB because O is the point between A, B and OA = OB = 2 cm.
- M is not the midpoint of line segment CD because points C, M, D are not collinear.
- K is the point between P and Q, but K is not the midpoint of line segment PQ because KQ > KP (3 cm > 2 cm).
Therefore, the correct statements are a, c.
The incorrect statements are b, d.
Answer:
- O is the midpoint of line segment AB because O is the point between A, B and OA = OB = 2 cm.
- M is not the midpoint of line segment CD because points C, M, D are not collinear.
- K is the point between P and Q, but K is not the midpoint of line segment PQ because KQ > KP (3 cm > 2 cm).
Therefore, the correct statements are a, c.
The incorrect statements are b, d.
2. Solve Exercise 2 Page 78 Math Grade 3
Problem: Determine the locations of the tents below.
Solution: Observe the illustration, identify the midpoints of line segments AD, BC, DC, AB, SU, then determine the positions of the tents.
Answer:
a) The brown tent is the midpoint of line segment AD, so the brown tent is at position V.
The orange tent is the midpoint of line segment BC, so the orange tent is at position T.
The yellow tent is the midpoint of line segment DC, so the yellow tent is at position U.
The pink tent is the midpoint of line segment AB, so the pink tent is at position S.
b) The red tent is at the midpoint of line segment SU, so the red tent is at position O.
Answer:
a) The brown tent is the midpoint of line segment AD, so the brown tent is at position V.
The orange tent is the midpoint of line segment BC, so the orange tent is at position T.
The yellow tent is the midpoint of line segment DC, so the yellow tent is at position U.
The pink tent is the midpoint of line segment AB, so the pink tent is at position S.
b) The red tent is at the midpoint of line segment SU, so the red tent is at position O.
Solve exercises on pages 77 and 78 in Math 3 Book 1, the book Horizon of Creativity above, hope you can grasp the knowledge, solve exercises more easily and accurately. Remember to review the theory for better reinforcement.
