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High School Algebra II: Homework Help Resource26 chapters | 281 lessons | 2 flashcard sets

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Lesson Transcript

Instructor:
*Karin Gonzalez*

Karin has taught middle and high school Health and has a master's degree in social work.

In this lesson, you will learn the definition of congruent segments. You will be given examples of congruent segments to further your understanding of the material. Following this lesson will be a brief quiz to test your new knowledge on this subject.

Line segments are different from lines because they have two defined endpoints. Lines, on the other hand, extend out to infinity.

To enrich your vocabulary even further, a ray is a mix between a line and a line segment. It extends to infinity in one direction and has an endpoint on the other end.

**Congruent segments** are simply line segments that are equal in length. Congruent means equal. Congruent line segments are usually indicated by drawing the same amount of little tic lines in the middle of the segments, perpendicular to the segments. Congruent segments do not need to be parallel to each other; they do not need to be perpendicular, either. In fact, they can be angled in relation to each other in different ways. The important part is that they are equal, or congruent.

We indicate a line segment by drawing a line over its two end points.

We indicate that two line segments are congruent by using the congruence symbol.

Look at the image of the number line ranging from -7 to 6. Imagine that each tic indicates a number is equal in distance to the next tic indicating a number (image not drawn to scale). Would line segments EF and GH be congruent?

Yes! They are congruent because both have the same number of spaces between them.

Look again at the same image, this time with different line segments. Are AB and CD congruent?

No! They are not, because line segment AB entails three number spaces and segment CD entails two number spaces.

**Congruent segments** are simply line segments that are equal in length. Congruent means equal. Congruent line segments are usually indicated by drawing the same amount of little tic lines in the middle of the segments, perpendicular to the segments. We indicate a line segment by drawing a line over its two endpoints. We indicate that two line segments are congruent by using the congruence symbol. Use of the congruence symbol indicates that line segment AB is equal in length to line segment CD.

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10 in chapter 19 of the course:

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High School Algebra II: Homework Help Resource26 chapters | 281 lessons | 2 flashcard sets

- What Is an Exponential Function? 7:24
- Exponential Growth vs. Decay 8:41
- What is a Logarithm? 5:23
- How to Graph Logarithms: Transformations and Effects on Domain/Range 6:53
- How to Evaluate Logarithms 6:45
- Logarithmic Properties 5:11
- Practice Problems for Logarithmic Properties 6:44
- How to Solve Exponential Equations 6:18
- How to Solve Logarithmic Equations 6:50
- Congruent Segments: Definition & Examples 2:41
- Go to Algebra II - Exponential and Logarithmic Functions: Homework Help

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