Question

Student Name: Lesson Number: 6 Level: 1003 Directions: Use segments a, b, and to complete the following constructions of segments with length squal to the indicated segments a + b 2 a-b 3 2b + a a + b + c a + 2b-c

Answer 1

The question is asking to construct new segments based on mathematical combinations of given segments a, b, and c. This involves performing addition or subtraction of segments' lengths as per the operation specified.

Step-by-step explanation:

This question is about creating new segments with lengths equivalent to mathematical combinations of given segments a, b, and c. Let's solve them one by one:

1. A segment with length a + b: This would be a segment that is the length of both segment a and segment b combined together end-to-end.
2. A segment with length 2a - b: In this case, you would first duplicate the length of segment a (thus having 2a), then subtract the length of segment b.
3. A segment with length 2b + a: You would first double the length of segment b (to get 2b) and then add the length of segment a to it.
4. A segment with length a + b + c: you simply add together the lengths of segments a, b, and c.
5. A segment with length a + 2b - c: First, you need to double the length of segment b and add segment a to it, then subtract the length of segment c from the result.

These are basically mathematical operations applied to physical measurements, the segments in this case.

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