Angle B is equal to 40°
Angle C is equal to 60°
Angle E is equal to 40°
Angle F is equal to 60°
Are the triangles similar?
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Angle B is equal to 40°
Angle C is equal to 60°
Angle E is equal to 40°
Angle F is equal to 60°
Are the triangles similar?
Given that the data shows that there are two pairs with equal angles:
The triangles are similar according to the angle-angle theorem, therefore triangle ABC is similar to triangle DEF.
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?
The AA (Angle-Angle) Theorem says that if two angles match, the third angle must also match! Since angles in a triangle always add up to 180°, once you know two angles are equal, the third is automatically equal too.
Look at the position and labeling of the triangles. In this problem, angle B corresponds to angle E (both are 40°), and angle C corresponds to angle F (both are 60°). The remaining angles A and D must correspond.
Triangle orientation doesn't matter! Focus on the angle measurements, not how the triangles are drawn. Similar triangles can be flipped, rotated, or resized while maintaining the same angles.
No! For the AA Theorem, you only need angle measurements. Side lengths would be needed for other similarity tests like SSS or SAS, but not for AA.
Similar triangles have the same shape but different sizes. All corresponding angles are equal, and all corresponding sides are proportional (same ratio).
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