Geometry

Draw the parallelogram with vertices A(3, 1), B(7, 1), C(5, 7), and D(9, 7) on a coordinate Find the area of the parallelogram.

. Lines k, I, m, and n are parallel. Find a, b, c, and d.

Extra Credit: Find the area of the red shaded part. The large circle has a diameter of 64 cm. Show ALL work for full extracredit. Give your answer both in terms of a and then round your final answer to one decimal place. (5 pts) Area of the red shaded part in terms of ä: Area of the red shaded part rounded to one decimal place:

5. Find the slope of a line going through each set of points. Then describe the line. Determine the slope formula by circling your choice. (1 m=\frac{y_{2}+y_{1}}{x_{2}+x_{1}} m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} m=\frac{x_{2}+x_{1}}{y_{2}+y_{1}} m=\frac{x_{2}-x_{1}}{y_{2}-y_{1}} Use your answer from Part I to find the slope of a line going through each set of points.Then describe the line as positive, negative, zero, or undefined. Show your work andexplain your answer. \text { A. }(5,7) \text { and }(-4,-2) \text { (3 points) } B. (1, 3) and (1, -10) (3 points)

In order to prepare a piece of ground for building a brick patio, a rectangle measuring 8 feet by 10 feet must be marked off. Then the dirt within the rectangle must be dug out to a depth of 6 inches. Finally, the resulting space must be filled with sand. (b) Sand costs $4 per cubic foot. What is the total cost of the sand needed to fill this space, including a $35 delivery charge? (a) What is the volume of sand needed, in cubic feet, to fill the space?

A network is said to be traversable if we can trace every edge without ever tracing the same edge twice. A path is said to be an Euler circuit if the network istraversable and we can start and end at the same edge. If we can visit each vert exexactly once and end back where we started, the path is said to be a Hamiltonian cycle. (See section 9.1 in your book if this is unclear)

Given: ABCDE is a regular pentagon \text { Prove: } \overline{\mathrm{OD}} \cong \overline{\mathrm{OC}}

4. Which of the following pictures of sets best represents the relationship between each of the given geometric figures? Draw and label the sets and intersection (if it exists)appropriately. a. Rectangles and parallelogramsC. b. Rectangles and squares c. Rectangles and rhombuses d. Rectangles and isosceles triangles

There is a rectangular box with a width which is 4 times its height, a length 9 times its height and the sum of its sides is 112 cm. What is the total surface area of the box in square centimeter? (A)196(B)392(C)424(D)486

5. Mr. Hu won the lottery and ordered two helicopters to pick him and his students up at BHSS. The two helicopters left BHSS and entered US airspace at the same time. One travelled at 250 km/h on a course of 277°.The other travelled at 200 km/h on a course of 230°. How far apart were the helicopters after 5 hours, to the nearest tenth of a kilometer? DISTANCE = SPEED X TIME. [5]