AA Similarity Worksheets Grade 8

1. Emma is creating a geometric art piece using two triangular panels. Triangle LMN has angles measuring 55° at vertex L and 65° at vertex M. Triangle XYZ has angles measuring 55° at vertex X and 65° at vertex Y. Using the Angle-Angle (AA) similarity criterion, determine if these two triangles are similar. Explain your reasoning.
2. If ΔABC ~ ΔDEF with ∠A = 35° and ∠B = 80°, find ∠F = ?
3. Sophia is designing a triangular window for a treehouse. The window has angles measuring 71° and 46°. Her friend Noah is building a similar triangular window for a fort, but larger. If Noah's window also has two angles measuring 71° and 46°, what is the measure of the third angle in both windows?

…and 5 more problems

1. 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.
2. Two triangular sections of a park are being designed for landscaping. Triangle PQR has angles measuring 35° at vertex P and 80° at vertex Q. Triangle STU has angles measuring 35° at vertex S and 65° at vertex T. Using the Angle-Angle (AA) similarity criterion, determine if these two triangles are similar. Explain your reasoning.
3. Liam is examining two triangular sails for a model boat. Triangle KLM has angles measuring 47° at vertex K and 83° at vertex L. Triangle NOP has angles measuring 83° at vertex N and 51° at vertex O. Using the Angle-Angle similarity criterion, determine if the two triangular sails are similar. Explain your reasoning.

…and 4 more problems

1. Triangle ABC has angles 74° and 48°. Triangle DEF has angles 74° and 58°. Are the triangles similar?
2. Isabella is designing two triangular pennants for a school sports event. The first pennant has angles measuring 72° and 37°. The second pennant has angles measuring 72° and 71°. Are the two pennants similar? Explain your reasoning.
3. If ΔABC ~ ΔDEF with ∠A = 38° and ∠B = 67°, find ∠F = ?

…and 5 more problems