Inequalities in Two Triangles

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Presentation transcript:

Inequalities in Two Triangles Section 5-6 Inequalities in Two Triangles

Hinge Theorem Comparing 2 triangles Must have 2 pairs of corresponding congruent sides Included angle of 1st > included angle of 2nd Third side of 1st > Third side of 2nd

Example #1: therefore… B A C 70° E D F 20°

Try it! 1. 2. 3.

Converse of the Hinge Theorem Comparing 2 triangles Must have 2 pairs of corresponding congruent sides Third side of 1st > Third side of 2nd Included angle of 1st > included angle of 2nd

Example: B A C therefore… 15 E D F 4

Try It! 4. 5. 6.

Use an inequality to show the restriction on x based on the Hinge Theorem. 7. 8. 9. 30° 35° 2x 3x-2 50° 35° 11 x 23° 45° X+5 2x+4