Angles of Similar Triangles

Poll

Do you think these two triangles are similar?

• Yes

• No

Poll

Do you think these two triangles are similar?

• Yes

• No

Angle Angle Criterion

​For these two triangles, we can see..

• Angle P = Angle X

• If we solved for Angle R, it equals 50° (60+70=130, 180-30=150)

  • This is equal to Angle Z

• If we solved for Angle Y, it equals 70° (60+50=110, 180-110=70)

  • This is equal to Angle Q

This means that at least two angles from each triangle are equal, so the triangles are similar.

Multiple Choice

Are the triangles similar by angle-angle similarity?

• Yes
• No