Angle B is equal to 70 degrees
Angle C is equal to 35 degrees
Angle E is equal to 70 degrees
Angle F is equal to 35 degrees
Are the triangles similar?
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Angle B is equal to 70 degrees
Angle C is equal to 35 degrees
Angle E is equal to 70 degrees
Angle F is equal to 35 degrees
Are the triangles similar?
The triangles are similar according to the angle-angle theorem.
Having two pairs of equal angles is sufficient to conclude that the triangles are similar.
Yes
The two parallelograms above are similar. The ratio between their sides is 3:4.
What is the ratio between the the areas of the parallelograms?
No! The Angle-Angle (AA) theorem says you only need two pairs of equal angles. The third pair will automatically be equal since all triangles have angles that sum to 180°.
Look at the position and labeling of vertices. In this problem, angle B corresponds to angle E (both 70°), and angle C corresponds to angle F (both 35°).
Similar triangles can be different sizes! Similarity means they have the same shape but not necessarily the same size. Equal angles guarantee the same shape.
Yes! You can also prove similarity using Side-Side-Side (SSS) or Side-Angle-Side (SAS) similarity theorems, but you need to know side lengths or ratios.
Similar triangles have the same shape (equal angles) but can be different sizes. Congruent triangles have the same shape AND the same size (all angles and sides equal).
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