Since I can't view or access images directly, I can't see the specific triangles in your uploaded worksheet. However, I can help you solve
similarity of triangles problems if you describe the diagrams or provide details about the triangles (such as side lengths, angles, or markings).
But based on the typical structure of such worksheets, here's how to approach
determining whether pairs of triangles are similar:
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🔍 What is Triangle Similarity?
Two triangles are
similar if:
1. Their
corresponding angles are equal, and
2. Their
corresponding sides are proportional.
There are three main
criteria for triangle similarity:
-
AA (Angle-Angle): If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.
-
SAS (Side-Angle-Side): If two sides are proportional and the included angle is equal, the triangles are similar.
-
SSS (Side-Side-Side): If all three sides are in proportion, the triangles are similar.
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✔ How to Solve Each Pair (General Steps):
For each pair of triangles:
1.
Check for marked angles or sides:
- Are there tick marks on sides? (Equal sides)
- Are there angle marks? (Equal angles)
2.
Look for parallel lines or special shapes:
- Sometimes, parallel lines suggest corresponding angles are equal.
3.
Compare side ratios:
- If side lengths are given, calculate the ratio of corresponding sides.
4.
Apply similarity rules:
- Use AA, SAS, or SSS to determine similarity.
5.
Conclusion:
- Write "Yes" if they are similar, "No" otherwise.
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📌 Example (Hypothetical):
Suppose in
Pair 1, both triangles have:
- One right angle,
- A 45° angle,
Then by
AA, they are similar.
If
Pair 2 has:
- Sides 3, 4, 5 and 6, 8, 10,
Then ratios: 6/3 = 2, 8/4 = 2, 10/5 = 2 → All sides proportional →
SSS → Similar.
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💡 Tips:
- Look for
angle marks (arcs) — matching arcs mean equal angles.
-
Parallel lines often imply equal angles (e.g., alternate interior angles).
- If one triangle is a
scaled version of the other, they’re similar.
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👉 Please describe the triangles in each pair (e.g., angles, side markings, or measurements), and I’ll walk you through solving each one step by step!
Parent Tip: Review the logic above to help your child master the concept of similar shapes worksheet.