About This Chapter
How it works:
- Identify the lessons in the Amsco Geometry Congruence Based on Triangles chapter with which you need help.
- Find the corresponding video lessons within this companion course chapter.
- Watch fun videos that cover the congruence based on triangles topics you need to learn or review.
- Complete the quizzes to test your understanding.
- If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.
Students will learn about:
- Line segments
- Proving angles and line segments congruent
- Equilateral and isosceles triangles
- Working with two pairs of congruent triangles
- Proving overlapping triangles congruent
- The angle bisector theorem
- Basic constructions
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1. Median, Altitude, and Angle Bisectors of a Triangle
Line segments in triangles are just clutter; they have special names and qualities depending on how they're drawn. In this lesson, we'll learn about medians, altitudes and angle bisectors.
2. Congruency of Isosceles Triangles: Proving the Theorem
Isosceles triangles have two equal sides. Are the base angles also equal? In this lesson, we'll prove how this is true. We'll also prove the theorem's converse.
3. Perpendicular Bisector Theorem: Proof and Example
Perpendicular bisectors are multifunctional lines. They're not only perpendicular to the line in question, they also neatly divide it into two equal halves. In this lesson, we'll learn about the perpendicular bisector theorem.
4. Angle Bisector Theorem: Proof and Example
The angle bisector theorem sounds almost too good to be true. In this lesson, we set out to prove the theorem and then look at a few examples of how it's used.
5. Geometric Constructions Using Lines and Angles
Watch this video lesson to learn about geometric construction and how you can copy line segments and angles without using any numbers. All you need is a straight edge and a compass.
6. Dividing Line Segments into Equal Parts: Geometric Construction
Watch this video lesson to learn one way to easily divide any line segment into as many equal parts as you need. Also, learn where in real life this skill comes in handy.
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Other chapters within the Amsco Geometry: Online Textbook Help course
- Amsco Geometry Chapter 1: Essentials of Geometry
- Amsco Geometry Chapter 2: Logic
- Amsco Geometry Chapter 3: Proving Statements in Geometry
- Amsco Geometry Chapter 4: Congruence of Line Segments, Angles, and Triangles
- Amsco Geometry Chapter 6: Transformations and the Coordinate Plane
- Amsco Geometry Chapter 8: Slopes and Equations of Lines
- Amsco Geometry Chapter 9: Parallel Lines
- Amsco Geometry Chapter 10: Quadrilaterals
- Amsco Geometry Chapter 11: Geometry of Three Dimensions
- Amsco Geometry Chapter 12: Ratio, Proportion, and Similarity
- Amsco Geometry Chapter 13: Geometry of a Circle
- Amsco Geometry Chapter 14: Locus and Construction