Inequalities in Two Triangles-Hinge Theorem
Exploration #1 - Comparing Measures in Triangles
In the applet below, 2 sides of two distinct triangles are congruent.
BEFORE YOU BEGIN.... What would you expect the length of the sides of the 3rd side to be?
1.
Describe what you thought you were going to see first. Then compare the measures of the triangle. Are the results what you expected? Why? Why not?
2.
If you could lengthen CE, what happens to ∠A?
3.
If CE > DF, then what is true about angle A and angle B?
4.
If m∠B > m∠A, then what is true about CE and DF?
5. Try This!
In triangle QRS and triangle XYZ, QR=XY and RS=YZ. If QS > XZ, then what can you say about ∠R and ∠Y? (Drawing a picture might help).