Triangle Congruence Sss And Sas Answer Key - Fill Online ... - Free Printable

Since I can't view or access images directly, I can't see the specific triangles in your worksheet. However, I can help you solve the problem if you describe the triangles or provide details about each pair (e.g., which sides and angles are marked as congruent).

But let’s go over how to solve this type of problem using the SSS (Side-Side-Side) and SAS (Side-Angle-Side) Congruence Theorems.

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🔍 What are SSS and SAS?

- SSS (Side-Side-Side): If all three sides of one triangle are congruent to the corresponding sides of another triangle, then the triangles are congruent.
- SAS (Side-Angle-Side): If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

> ✔ Important: For SAS, the angle must be between the two sides.

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🧩 How to Solve the Worksheet:

For each numbered question, you’ll have 3 triangles. You need to:
1. Look at the markings on the sides and angles.
2. Identify which sides/angles are congruent (usually shown with tick marks or arcs).
3. Check if any two triangles satisfy SSS or SAS.
4. State which triangles are congruent and why.

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💡 Example Walkthrough (Hypothetical):

Let’s say Question 1 has:

- Triangle ABC: AB = 5 cm, BC = 7 cm, AC = 8 cm
- Triangle DEF: DE = 5 cm, EF = 7 cm, DF = 8 cm

Then by SSS, △ABC ≅ △DEF.

Or if:

- Triangle ABC: AB = 6 cm, ∠B = 60°, BC = 9 cm
- Triangle DEF: DE = 6 cm, ∠E = 60°, EF = 9 cm

Then by SAS, △ABC ≅ △DEF (because the angle is between the two sides).

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📝 Tips for Identifying Markings:

- Tick marks on sides mean those sides are equal.
- Arcs on angles mean those angles are equal.
- Right angles are often marked with a small square.
- Congruent parts must match in order (e.g., side-angle-side, not side-side-angle — that's not always valid!).

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✔ Final Steps:

To get the correct answer:
1. Describe each triangle in your worksheet (or list the markings).
2. Compare them using SSS or SAS.
3. Write the congruence statement (e.g., △ABC ≅ △DEF) and state the reason.

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Please describe the markings for each question (e.g., "Triangle 1 has two sides marked with one tick, and an included angle marked with one arc"), and I’ll walk you through solving it step-by-step!