Draw two triangles that look similar and label them as ABC and DEF. Label the angles of both triangles with numerical values such that the triangles are, in fact, similar.

Answer 1

To represent two similar triangles, we can use the following angles for triangle ABC and triangle DEF:

Triangle ABC:

• Angle A = 30°
• Angle B = 60°
• Angle C = 90°

Triangle DEF:

• Angle D = 30°
• Angle E = 60°
• Angle F = 90°

Labeling the Triangles

      A
      /|
   C / | B
    /  |
   /   |
  /    |
 D-----E
 /     \
F

Angles

• Triangle ABC:

  • ∠A = 30°
  • ∠B = 60°
  • ∠C = 90°

• Triangle DEF:

  • ∠D = 30°
  • ∠E = 60°
  • ∠F = 90°

Conclusion

Since both triangles have matching angles (30°, 60°, and 90°), triangle ABC is similar to triangle DEF (ΔABC ~ ΔDEF).