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Chapter 5 Review

Chapter 5 Review. Penelope. (3 x + 1) o. Jacob, Penelope, and Taryn are friends that live close to one another. Which two friends have the shortest distance between them?. (15 x + 30) o. (2 x – 1) o. Taryn. Jacob. A. D.

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Chapter 5 Review

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  1. Chapter 5 Review

  2. Penelope (3x + 1)o Jacob, Penelope, and Taryn are friends that live close to one another. Which two friends have the shortest distance between them? (15x + 30)o (2x – 1)o Taryn Jacob

  3. A D G is the incenter of ∆ABC. Find GD. GC = 15, PC = 9. Find the value of GP. G C R P B

  4. 6 82 81 x Use an inequality to describe the value of x as determined by the Hinge Theorem and its converse.

  5. 2x – 1 21 56 x + 4 Use an inequality to describe the value of x as determined by the Hinge Theorem and its converse.

  6. True or False. Answer true only if it is always true. 1. The incenter of a triangle lies outside the triangle. 2. The largest angle of a triangle is opposite the longest side. 3. The orthocenter is the point of concurrency of the altitudes. 4. The centroid is the point of concurrency of perpendicular bisectors.

  7. Name the longest segment in triangle ABD.

  8. Write an inequality to describe the possible values of x. (3x + 20) ° (5x) °

  9. List all of the angles that have a measure greater than angle 1.

  10. In triangle XYZ, P is the centroid and YC = 15. Find the length of YZ.

  11. Name an altitude.

  12. Name a perpendicular bisector.

  13. Name a median.

  14. Name an angle bisector.

  15. What is the relationship between the lengths of DC and AD?

  16. What is the relationship between the lengths of QS and RS? 50°

  17. What is the relationship between the measures of angle 1 and angle 2?

  18. Can side lengths 6, 7, and 13 form a triangle?

  19. Find the possible values of the measure of third side length given the other two side lengths are 6 and 12.

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