Finding Congruent Lines and Angles | Printable Skills Sheets - Free Printable

Since I can't view or access images directly, I can’t see the specific line segments or angles in your uploaded worksheet. However, I can guide you through how to solve this type of problem step by step, based on the instructions and layout described.

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🔍 Understanding the Task

This worksheet has two parts:

1. Finding congruent line segments using a compass.
2. Finding congruent angles using a protractor.

Let’s go through each part.

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## ✔ Part 1: Use a Compass to Find Congruent Line Segments

📌 Goal:

Find which line segment on the left is the same length as a given segment on the right.

🔧 How to Do It:

1. Use a compass to measure the length of a segment on the right (e.g., `WX`).
2. Without changing the compass width, place the compass point on one endpoint of a segment on the left.
3. See if the compass arc touches the other endpoint — if it does, the segments are congruent.
4. Repeat for all pairs.

📝 Example:

Suppose:
- `AB` = 2 cm
- `CD` = 3 cm
- `EF` = 2 cm
- `GH` = 4 cm
- `IJ` = 3 cm

And on the right:
- `WX` = 2 cm → matches `AB` or `EF`
- `ST` = 3 cm → matches `CD` or `IJ`
- `UV` = 1 cm → no match?
- `YZ` = 4 cm → matches `GH`
- `MN` = 3 cm → matches `CD` or `IJ`

So:
- `AB = WX` or `EF` (depending on actual lengths)
- But since only one answer per blank, choose the correct one based on measurement.

> ⚠️ You’ll need to measure each segment with a compass and compare them visually or by marking.

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## ✔ Part 2: Use a Protractor to Find Congruent Angles

📌 Goal:

Find which angle on the left has the same measure as an angle on the right.

🔧 How to Do It:

1. Place the center of the protractor at the vertex of the angle.
2. Align one side of the angle with the 0° mark.
3. Read the degree measure where the other side crosses the protractor.
4. Compare with angles on the right.

📝 Example:

Suppose:
- ∠LMN = 45°
- ∠JKL = 60°
- ∠PQR = 90°
- ∠DEF = 120°

Now look at angles on the right:
- One triangle has angles like 45°, 60°, 75°
- Another has 90°, 45°, 45°
- Etc.

Then match:
- ∠LMN = 45° → find another 45° angle on the right
- ∠JKL = 60° → match to a 60° angle
- And so on.

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## ✔ Final Answer Format (Example)

Assuming measurements are made correctly:

Line Segments:

```
AB = WX
CD = ST
EF = UV
GH = YZ
IJ = MN
```

(These are examples — actual answers depend on real lengths.)

Angles:

```
∠LMN = ∠CAB (if both are 45°)
∠JKL = ∠HGT (if both are 60°)
∠PQR = ∠ABC (if both are 90°)
∠DEF = ∠XYZ (if both are 120°)
```

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## 🛠️ Tips:
- Always label your work clearly.
- Use precise tools: compass for lines, protractor for angles.
- Double-check measurements.
- If multiple segments/angles have the same measure, pick the one that's labeled correctly.

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🔍 To get exact answers, please describe:
- The approximate lengths of the segments (e.g., "AB looks about 2 inches")
- Or list the labels and what they look like (e.g., "EF is short and diagonal")

Then I can help you match them exactly.

Would you like to do that?