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Triangle Similarity: AA, SSS & SAS · Easy Worksheet 2

Triangle Similarity: AA, SSS & SAS — Easy Worksheet 2

Grade 10 · MathSheets    Name: ____________________   Date: __________

Write AA, SSS or SAS if the triangles are similar, or not similar if they are not. Write scale factors as whole numbers or fractions.

How to solve

AA: two pairs of equal angles. SSS: all three pairs of corresponding sides have the same ratio. SAS: two pairs of sides have the same ratio and the angles between them are equal. Compare the ratios of corresponding sides (larger ÷ smaller); if they are not all equal, the triangles are not similar. The scale factor from △ABC to △DEF is DE/AB.

Example

Are the triangles similar? Write AA, SSS, SAS, or not similar.

38°89°ABC38°89°DEF

Answer: AA

right so far
1. Are the triangles similar? Write AA, SSS, SAS, or not similar.
58°84°ABC58°38°DEF
2. Are the triangles similar? Write AA, SSS, SAS, or not similar.
345ABC6810DEF
3. Are the triangles similar? Write AA, SSS, SAS, or not similar.
41°83°ABC41°83°DEF
4. Are the triangles similar? Write AA, SSS, SAS, or not similar.
67°62ABC67°124DEF
5. △ABC ~ △DEF. What is the scale factor from △ABC to △DEF?
6810ABC91215DEF
6. Are the triangles similar? Write AA, SSS, SAS, or not similar.
75°41°ABC75°41°DEF
7. Are the triangles similar? Write AA, SSS, SAS, or not similar.
15918ABC201224DEF
8. Are the triangles similar? Write AA, SSS, SAS, or not similar.
106°126ABC106°168DEF

/ right