AA Similarity Worksheets Grade 8

1. Triangle ABC has angles 42° and 77°. Triangle DEF has angles 42° and 61°. Are the triangles similar?
2. Emma is designing a triangular sail for her model sailboat. The sail has angles measuring 55° and 65°. Her friend Noah is building a similar but larger sail for his boat. If Noah's sail also has two angles measuring 55° and 65°, what is the measure of the third angle in both sails?
3. Liam is designing a triangular logo for his robotics team. The original triangle has angles measuring 45° and 75°. He wants to create a similar, larger version for a banner. If the corresponding angles in the larger triangle are 45° and 75°, and the side between these angles on the original logo is 12 cm, what is the length of the corresponding side on the banner if the scale factor from the original to the banner is 2.5?

…and 5 more problems

1. If triangle ABC has angles 50° and 70°, and triangle DEF has angles 50° and 60°, are the triangles similar?
2. Two triangular gardens are being designed for a park. Triangle ABC has angles measuring 45° and 60°. Triangle DEF has angles measuring 45° and 75°. Are the two triangles similar? Explain your reasoning.
3. Kaia is designing two triangular banners for the school cultural festival. The first banner has angles measuring 71° and 43°. The second banner has angles measuring 71° and 66°. Are these two triangular banners similar? Explain your reasoning.

…and 5 more problems

1. Emma is an architect designing a triangular stained glass window that needs to be similar to a smaller triangular window in the building's blueprint. The blueprint window has angles measuring 52° and 68°. Emma's full-scale window has two angles measuring 52° and 60°. Are the two triangular windows similar? Explain your reasoning.
2. If ΔABC has angles 55° and 65°, and ΔDEF has angles 55° and 60°, are the triangles similar?
3. Liam is designing a triangular logo for his robotics team. He draws triangle ABC with angles measuring 50° and 70°. He wants to create a similar, smaller triangle DEF for a badge. If angle D measures 50° and angle E measures 70°, what must be the measure of angle F to prove the triangles are similar by the Angle-Angle criterion?

…and 4 more problems