Solving 7th-grade Math problem on page 73, Knowledge Connection Book, solving exercises of the lesson Second and third equal cases of the triangle from 4.12 to 4.15 according to the curriculum. Hopefully, this will be a document to help students easily do Math.
Referencing many good study materials for 7th-grade Math:
- Solving 7th-grade Math, Knowledge Connection Book
- Solving 7th-grade math problems on page 108 of volume 1, Kite Book - Review exercises chapter 4
- Solving 7th-grade Math on page 109, 110 of volume 1, Horizon of Creativity Book - Final exercises of chapter 5
Solving 7th-grade math problem on page 73, Knowledge Connection Book with Life
Second and third equal cases of the triangle
1. Solving Exercise 4.12 Page 73 Math Textbook Grade 7
Problem: In each figure (H.4.39), identify a pair of congruent triangles and explain why they are congruent.
Solution Guide:
If the two sides and the included angle of this triangle are equal to the two sides and the included angle of the other triangle, then the two triangles are congruent.
Answer:
2. Solving Exercise 4.13 Page 73 Math Textbook Grade 7
Problem: Given two line segments AC and BD intersect at point O such that OA = OC, OB = OD as shown in Figure 4.40.
a) Find two pairs of triangles sharing vertex O that are congruent;
b) Prove that ΔDAB = ΔBCD.
Solution Guide:
If the two sides and the included angle of this triangle are equal to the two sides and the included angle of the other triangle, then the two triangles are congruent.
Answer:
a) Two pairs of triangles sharing vertex O that are congruent: AOB and COD; AOD and COB using the side-angle-side case.
3. Solving Exercise 4.14 Page 73 Math Textbook Grade 7
Problem: Prove that two triangles ADE and BCE in Figure 4.41 are congruent.
Solution Guide:
If one side and two adjacent angles of this triangle are equal to one side and two adjacent angles of the other triangle, then the two triangles are congruent.
Answer:
4. Solving Exercise 4.15 Page 73 Math Textbook Grade 7
Problem: Given line segment AB parallel and equal to line segment CD as shown in Figure 4.42. Let E be the intersection of two lines AD and BC. Two points G and H lie on AB and CD respectively such that G, E, H are collinear. Prove that:
a) ΔABE equals ΔDCE;
b) EG equals EH.
Solution Guide:
If one side and two adjacent angles of this triangle are equal to one side and two adjacent angles of the other triangle, then the two triangles are congruent.
Answer:
Here is the guide to solve the 7th-grade math problem on page 73. Students, please refer to solve the 7th-grade math problem on page 74 and review solving the 7th-grade math problem on page 69 to strengthen your knowledge.
- Solving 7th-grade Math on page 74, Knowledge Connection Book - Concentrated exercises on page 74
- Solving 7th-grade Math on page 79, Knowledge Connection Book - Exercise 15: Congruent cases of right triangles
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