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Presentation transcript:

Bell work: Turn in when completed For each triangle, identify the red line. Is it an altitude, median, angle bisector, perpendicular bisector, or none of the above?

Finding the Orthocenter Triangle ABC has vertices A(1,3), B(2,7), and C(6,3). What is its orthocenter? Triangle DEF has vertices D(1,6), E(6, 1), and F(4,2). What is its orthocenter?

5-6: Inequalities in One Triangle

List the angles of the triangles from smallest to largest

Comparison Property of Inequality: If a=b+c, and c>0, then a>b

Order the sides of the triangles from largest to smallest. Angle S = 24 Degrees Angle O = 130 Degrees

Can a triangle have these side lengths? 3, 7, 8 5, 10, 15

What is the range of possible 3rd side lengths for these triangles? 18, 23, x 5, 16, x

If a triangle has side lengths of 5 and 8, what are possible values for the 3rd side? What if the sides were 4 and 7?

5-7: Inequalities in Two Triangles

Using the Hinge Theorem At which time are you farther from the base of the ride?

Using its converse: What are the possible values for x?

Homework: 5.6, pages 328-329: 6, 11, 15, 19, 27 Honors: Add 32, 34 Honors: Add 13, 17, 19a

Quiz Retakes…last chance for quiz 2 and 3

5-6: For 11, 15, and 19, order the sides or angle from smallest-largest For 27, find a range of possible values for the third side

10. When is the arm closer to the base 10. When is the arm closer to the base? Justify your answer with the hinge theorem 5.7: 6. Compare the given sides with an inequality 11. Find the range of possible values for x