Solving Math Class 7 page 57, 58 Workbook Volume 2 Creative Horizon Book: Congruent triangles is a good Math study material to solve exercises 1, 2, 3, 4, 5, 6, 7, 8, 9 according to the textbook. If you can't imagine how to do it or want to be sure with your solution, you can refer to it.
Refer to other good Math 7 study materials: - Solving Math Class 7 Creative Horizon Book - Solving Math Class 7 page 79 Workbook Volume 2 Kite - Exercise 3. Two congruent triangles - Solving Math Class 7 page 67 Workbook Volume 1 Connect Knowledge - Exercise 13: Two congruent triangles. The first case of congruent triangles
Solving Math Class 7 page 57, 58 Textbook Volume 2 Creative Horizon Book
Congruent triangles
Solve Exercise 1 Page 57 Math Class 7 Textbook
Problem: Observe Figure 23 then replace the ? with the name of the appropriate triangle.
Solution:
Observe the drawing, fill in the names of the triangles according to the corresponding vertices.
Answer:
2. Solve Exercise 2 Page 57 Math Class 7 Textbook
Solution:
From two congruent triangles, we can identify the corresponding sides are equal, the corresponding angles are equal.
Answer:
3. Solve Exercise 3 Page 58 Math Class 7 Textbook
Solution:
+ Given two pairs of corresponding angles are equal, find the remaining pair of corresponding angles that are also equal.
+ Write down two congruent triangles in order of their corresponding vertices to determine the corresponding sides that are equal.
Answer:
4. Solve Exercise 4 Page 58 Math Class 7 Textbook
Solution:
Two congruent triangles have corresponding sides equal.
Answer:
So, NP = EF. Given EF = 6 cm, therefore NP = 6 cm.
The perimeter of triangle MNP is:
MN + MP + NP = 4 cm + 5 cm + 6 cm = 15 cm.
5. Solve Exercise 5 Page 58 Math Class 7 Textbook
Problem: Given line segment AB with O as the midpoint. Draw two lines m and n perpendicular to AB at A and B. Take point C on m, CO intersects n at D (Figure 24). Prove that O is the midpoint of CD.
Solution:
To prove O is the midpoint of CD, we prove that OC = OD by showing they are corresponding sides of two congruent triangles.
Answer:
6. Solve Exercise 6 Page 58 Math Class 7 Textbook
Solution:
+ If the three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.
+ If a line cuts two lines to form a pair of interior alternate angles or a pair of corresponding angles that are equal, then the two lines are parallel.
Answer:
7. Solve Exercise 7 Page 58 Math Class 7 Textbook
Problem: Given triangle FGH with FG = FH. Take point I on side GH such that FI is the bisector of angle GFH. Prove that triangles FIG and FIH are congruent.
Solution:
If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.
Answer:
8. Solve Exercise 8 Page 58 Math Class 7 Textbook
Solution:
+ If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.
+ If one side and two adjacent angles of one triangle are equal to one side and two adjacent angles of another triangle, then the two triangles are congruent.
Answer:
9. Solve Exercise 9 Page 58 Mathematics Textbook Grade 7
Problem: Name some points in Figure 26 and identify three pairs of congruent triangles in the figure.
Solution:
+ Name some points in the diagram.
+ Identify the pairs of congruent triangles.
Answer:
There are many ways to name some points in Figure 26. Here is an example.
The congruent triangles in the figure are:
Here is a guide to solving math problems for grade 7, pages 57 and 58, volume 2. Students should also refer to solving math problems for grade 7, pages 62 and 63, volume 2, and solving math problems for grade 7, pages 66, volume 2, to ensure understanding.
- Solve math problems for grade 7, pages 62 and 63, volume 2, Chân Trời Sáng Tạo book - Exercise 3: Isosceles triangle
- Solve math problems for grade 7, pages 66, volume 2, Chân Trời Sáng Tạo book - Exercise 4: Perpendicular and diagonal lines
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