United University

Geometry Grade 8. Similarity of triangles. Collection 1

Course Difficulty Icon Intermediate
Course Type Icon Course
Course Duration Icon 10 hours

Embark on an exciting journey through Geometry! Our "Geometry Grade 8. Similarity of triangles. Collection 1" course offers a dynamic learning experience that introduces students to the concept of similar triangles. Through interactive lessons, quizzes, and engaging activities, students will explore the properties and applications of triangle similarity.

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Embark on an exciting journey through Geometry! Our "Geometry Grade 8. Similarity of triangles. Collection 1" course offers a dynamic learning experience that introduces students to the concept of similar triangles. Through interactive lessons, quizzes, and engaging activities, students will explore the properties and applications of triangle similarity.

Why choose our course:

  • Interactive quizzes and tests: Test your knowledge and reinforce learning with engaging and challenging quizzes.
  • Expertly crafted content: Developed by experienced educators to ensure high-quality and effective learning.
  • Real-life applications: Learn how geometric principles apply to real-world scenarios and various fields of study.

Course Module

Module 1: Similarity of triangles.

  • §12. Generalized Thales' Theorem
  • §12. Generalized Thales' Theorem (Part 1)
  • §13. Similarity of triangles
  • §13. Similarity of triangles (Part 1)
  • §14. Criteria for the similarity of triangles
  • §14. Criteria for the similarity of triangles (Part 1)
  • §14. Criteria for the similarity of triangles (Part 2)
  • §14. Criteria for the similarity of triangles (Part 3)
  • §15. Mean proportional segments in a right triangle
  • §15. Mean proportional segments in a right triangle (Part 1)
  • §15. Mean proportional segments in a right triangle (Part 2)
  • §16. Properties of the triangle's bisector
  • §16. Properties of the triangle's bisector (Part 1)
  • §17. Applying the similarity of triangles to solve problems
  • §17. Applying the similarity of triangles to solve problems (Part 1)
  • §17. Applying the similarity of triangles to solve problems (Part 2)
  • Homework Assignment No. 3 (Sections 12-17)
  • Knowledge check tasks for Sections 12-17
  • Exercises for review of Section 2
  • To §12
  • To §13
  • To §14
  • To §15
  • To §16
  • To §17
  • Key takeaways from Section 2
  • The greatest geometer of the 20th century

Expected Learning Outcomes

  • Identifies examples of similar triangles.
  • Explains the connection between congruence and similarity of geometric figures.
  • Formulates:
    • Theorems: about the medians of a triangle; about the properties of the bisector of a triangle.
    • Definitions of similar triangles.
    • Criteria for similarity of triangles.
    • Generalized Thales' Theorem.
  • Draws and identifies similar triangles in diagrams.
  • Justifies the similarity of triangles.
  • Applies learned definitions and properties to solve problems, particularly in determining distances in real-world scenarios.

By the end of this course, students will have a strong understanding of triangle similarity and will be able to apply their knowledge to a wide range of geometric problems and real-life contexts.

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