Are the triangles below similar?
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Are the triangles below similar?
The sides of the triangles are not equal and, therefore, the triangles are not similar.
No
Angle B is equal to 60°
Angle C is equal to 55°
Angle E is equal to 60°
Angle F is equal to 50°
Are these triangles similar?
Having some matching sides isn't enough! For similarity, we need all corresponding sides to be proportional. Here, ratios are , , and - they're different!
Start by arranging the sides in order from smallest to largest. Triangle 1: (6, 8, 9) and Triangle 2: (5, 8, 9). Then compare: smallest to smallest, middle to middle, largest to largest.
If even one ratio is different from the others, the triangles are not similar. All ratios must be exactly equal for similarity to exist.
No! Similar triangles can be different sizes and even flipped or rotated. What matters is that all corresponding angles are equal and all corresponding sides are proportional.
No, you must check all three ratios! It's possible for two ratios to match while the third one doesn't, which means the triangles aren't similar.
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