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Score: ____ of 10 Date: ___________ Notebook Section: Homework Name: ______________________________________ Homework #3 4 of the following 15 questions will be randomly picked and scored for accuracy. A paper will receive a maximum of 70% if all questions were not attempted. You may do all of your work on this paper. Current Material 1. Write a statement that is logically equivalent to the statement “If two sides of a triangle are congruent, the angles opposite those sides are congruent.” Identify the new statement as the converse, inverse, or contrapositive of the original statement. 6. A TV ad shows a car parked on an isolated point of land obviously high in the mountains. What conditional statement does this ad intend to convey? 7. What is the converse of the statement whose contrapositive is if it is a poodle then it is a dog? 2. Write the converse, the inverse, and the contrapositive of the statement "If I run, then I am tired." 8. Draw a Venn diagram for the statement some people who watch TV are boys. 3. "If I live in Albany, then I am a New Yorker." In the spaces provided below, write the inverse, the converse, and the contrapositive of this statement. 9. What is the inverse of the statement whose converse is If I am not in VA then I am not in Richmond. 4. State the hypothesis and conclusion of: If a figure is a rhombus, then it has four congruent sides. 10. What is the contrapositive of either of the conditionals that can be formed by All right angles measure 90°? 5. Write the statement in if-then form. All isosceles triangles have two congruent sides. Question 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Written Review Material 11. The diagram to the right shows what type of construction? 12. U, B, E, and W are collinear with U between B and W, and E between U and W. If WE = 17x + 1, UE = 8x + 19, BW = -13x + 807, and UB = 18x + 3, solve for BE. 13. An isosceles triangle has a vertex angle of 14. What are the base angles? 14. Where do a plane and a line intersect? 15. How many degrees on the outside of a pentagon? Written Response Please answer the following in paragraph form. Responses not in correct paragraph form will not be scored. Question: Explain in paragraph form how a conditional and its contrapositive are similar and different. __________________________________________________________________________________________________ __________________________________________________________________________________________________ __________________________________________________________________________________________________ __________________________________________________________________________________________________ __________________________________________________________________________________________________ __________________________________________________________________________________________________ Question 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Written