Angles and Sides of Triangle

Justify: If XY > AB, then XY + AC > AB + AC

• Addition Property of Inequality

• Addition Property of equality

• Definition of greater than for angles

• Definition of greater than for segments

If X is the midpoint of AM, then AM ___ AX.

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Determine which segments of the given lengths can be the sides of a triangle.

• 4, 8, 15

• 4, 8, 2

If the lengths of two sides of a triangle are 7cm and 10cm. What is the range of values of the third side?

• 3 > x < 17

• 3 < x > 17

• 3 > x > 17

• 3 < x < 17

If the lengths of two sides of a triangle are 7cm and 12cm. What is the range of values of the third side?

• 5 < x < -19

• -5 < x < 19

• 5 < x < 19

• 5 < x < 19

Justify: If y < 10, then 5x < 50

• Multiplication Property of Inequality

• Definition of less than for angles

• Definition of greater than for angles

• Division Property of Inequality

Find the measure of exterior angle

• Theorem 2.9

• Theorem 2.10

• Theorem 2.11

• Theorem 2.12

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