Are the below triangles similar?
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Are the below triangles similar?
Use the similarity theorems.
Yes
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?
Great question! If two angles match, the third angle must also match because angles in any triangle always add up to 180°. This is why AA Similarity works!
Similar triangles can be different sizes! They just need the same shape (same angles). Think of a small photo and a large poster - same image, different sizes.
Look for angle markings in the diagram, or identify angles by their position. Corresponding angles are in the same relative position in each triangle.
No! For similarity, you only need to check angles using AA theorem. Side lengths would only matter if you were checking for congruence (exactly the same size and shape).
Look for angle markings (like small arcs or squares), parallel lines, or other geometric clues. Sometimes you need to use vertical angles or corresponding angles to find equal angles.
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