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Chapter I
Basic geometric concepts. Planimetry
1
What is geometry? Point and line
Lessons 1–2
2
Segment, ray and comparing segments
Lessons 3–4
3
Length of a segment and measuring
Lessons 5–6
4
Circle and disc. Practical measuring
Lessons 7–8
5
Chapter I review
Lessons 9
Chapter II
Angles
6
Angles and measuring them
Lessons 10–11
7
Angle types. Adjacent and vertical angles
Lessons 12–13
8
Proof and perpendicular lines
Lessons 14–15
9
Proof by contradiction. Practice
Lessons 16–17
10
Chapter II review
Lessons 18
Chapter III
Polygons and triangles
11
Broken line, polygon and triangle
Lessons 19–20
12
Median, altitude, bisector. SAS criterion
Lessons 21–22
13
Isosceles triangle and the ASA criterion
Lessons 23–24
14
SSS criterion. Perpendicular bisector
Lessons 25–26
15
Practical lesson and Chapter III review
Lessons 27–28
Chapter IV
Parallel lines
16
Parallel lines and a transversal
Lessons 29–30
17
Tests for parallel lines
Lessons 31–32
18
Converse theorem. Parallel lines and angles
Lessons 33–34
19
Problem solving and Chapter IV review
Lessons 35–36
Chapter V
Relations between the sides and angles of a triangle
20
Angle sum and exterior angle of a triangle
Lessons 37–38
21
Problems. The right triangle
Lessons 39–40
22
Congruence of right triangles. Problems
Lessons 41–42
23
Bisector property. Sides and angles
Lessons 43–44
24
Triangle inequality and Chapter V review
Lessons 45–46
Chapter VI
Construction problems
25
Construction rules and puzzles
Lessons 47–48
26
Copying an angle and constructing a bisector
Lessons 49–50
27
Constructing perpendiculars and triangles
Lessons 51–52
28
Construction problems and Chapter VI review
Lessons 53–54
Chapter VII
Review
29
Stages of solving problems and calculation problems
Lessons 55–56
30
Proof problems
Lessons 57
31
Review: main theorems and problems
Lessons 58
32
Final test and working on mistakes
Lessons 59
☰ Contents · Geometry
Grade 7
›
Geometry
›
Week 8
Proof and perpendicular lines
Lessons 14–15 · 2 lessons · Geometry Grade 7, corrected and expanded 3rd edition. Yangiyo‘l Poligraf Servis, Tashkent, 2017 (approved by the Ministry of Public Education)
Lesson 14
Lesson 15
Quiz
8
Homework
5
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Week 8 · Lesson 15: Perpendicular lines
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Week 8 · Homework
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