To solve this problem, we need to understand what "congruent" means. In geometry, two line segments are congruent if they have the exact same length.
Let's look at each pair in Activity 1 to see which ones match in length. You can imagine measuring them with a ruler or sliding one on top of the other to see if they fit perfectly.
Step-by-step Check:
1)
Pair T-U and V-W:
- Look at segment $TU$ and segment $VW$.
- Visually, they appear to be the same length. If you were to cut out segment $TU$ and place it over $VW$, they would match up perfectly.
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Conclusion: These are congruent.
2)
Pair E-F and G-H:
- Look at segment $EF$ and segment $GH$.
- Segment $EF$ is clearly shorter than segment $GH$. They do not have the same length.
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Conclusion: These are NOT congruent.
3)
Pair K-L and N-M:
- Look at segment $KL$ and segment $NM$.
- Even though they are pointing in different directions (one is vertical-ish, one is horizontal-ish), their lengths look identical. Direction does not change length.
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Conclusion: These are congruent.
4)
Pair A-B and C-D:
- Look at segment $AB$ and segment $CD$.
- Both segments look like they are the same long length.
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Conclusion: These are congruent.
5)
Pair O-P and R-Q:
- Look at segment $OP$ and segment $RQ$.
- Segment $OP$ is quite short. Segment $RQ$ is much longer.
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Conclusion: These are NOT congruent.
Summary:
The pairs that have the same length (are congruent) are numbers 1, 3, and 4.
Final Answer:
The congruent pairs of line segments are
1, 3, and 4.
Parent Tip: Review the logic above to help your child master the concept of congruent line segments worksheet.
