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MTH Week 3 Assignment

# MTH Week 3 Assignment - Assessment 12-1A 6 How many...

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Assessment 12-1A 6. How many different triangles can be constructed with toothpicks by connecting the toothpicks only at their ends if each triangle can contain at most five toothpicks per side? 13. A group of students on a hiking trip wants to find the distance AB across a pond (see the following figure). One student suggests choosing any point C, connecting it with B , and then finding point D such that DCB = ACB and DC = AC . How and why does this help in finding the distance AB ? This method creates two congruent triangles. ABC is congruent with CBD because of the side- angle-side theorem. The first congruent side is BC (it overlaps, so it must be the same). The angle is C. And the other side is DC and AC, which are the same length based on the way you set up the point C. Since the triangles are congruent, the distance from B to D is the same as the distance from A to B.

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Assessment 12-3A 9. Given A , B , and C as vertices, use a compass and a straightedge to construct a parallelogram
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MTH Week 3 Assignment - Assessment 12-1A 6 How many...

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