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Geometry Writing Assignment ­ Introduction to Triangles Each problem is worth 5 points Total Points: 50 Solve the problems pertaining triangles. Be sure to show all work when needed. 1.

a. Based on the figure, Jordan says that Explain your reasoning.

2 3

RW = RU . Kendra disagrees. Is either of them correct?

b. If QW = 27 inches, find QT.

2. Jordan says that from the information supplied in the diagram, she can conclude that R is on the perpendicular bisector of QS . Robert disagrees. Is either of them correct? Explain your reasoning.

3. Franklin measured and labeled the angles of a triangle as shown. Jennifer says that at least one of his measures is incorrect. Explain in at least two different ways how Jennifer knows that this is true.

4. Joey says that triangle XYZ is obtuse. Robin disagrees because there are more acute angles then there are obtuse angles therefore it must be acute. Is either one of them correct? Explain your reasoning.

5. Compare and contrast the perpendicular bisectors and angle bisectors of a triangle. How are they alike? How are they different?

6. Compare and contrast the perpendicular bisectors, medians, and altitudes of a triangle. How are they alike? How are they different?

7a. Classify triangle ABC by its sides if side AB = 6x, side AC = 4x + 6 and side BC = 8x + 3. The perimeter of triangle ABC is 63. Show all your work.

b. Explain your reasoning.

8. Is there enough information given to find the value of X. Explain your reasoning.

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