What information is given for both triangles ABE and CDF? Be specific.
Two angles are given in both triangles.
What other information can you identify in the triangles aside from the shown information? Explain how you got this information.
The measurement of the third angle in both triangles. [br]Angle E = 180 - (40+60) = 80[br]Angle F = 180 - (40+60) = 80[br]The sum of all interior angles in a triangle is 180 degrees.
Is this information enough to conclude that the triangles are similar? Why or why not?
No, because we need to know if the ratios of the corresponding sides are equal.
Check the box to show the other angle and the side ratios.
What can you conclude about the measurement of the third angles and the ratios of the corresponding sides?
The third corresponding angles are congruent and the ratios of the corresponding sides are equal.
Adjust the scale factor.
Are triangles ABE and CDF still similar after changing the scale factor? Why or why not?
Yes, because the ratios of the corresponding sides are still equal and the corresponding angles are still congruent.
CONCLUSION
When can you say that two triangles are similar based on your observations?
Two triangles are similar when the two corresponding angles are congruent.