Unit 4 Polygon Properties (Ch 5) Know the quadrilaterals and their properties. How do you prove one verses the other

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1 Unit 4 Polygon Properties (Ch 5) Know the quadrilaterals and their properties How do you prove one verses the other 1. Given the following vertices A( -10,1) B(-5,4) C(0,1) D(-5,-) a. Plot the points on the graph provided b. Determine what the best name for the shape is, make sure you show all work to support your answer.

2 Unit 5 Pythagorean Theorem and Coordinate Geometry (Ch 9) Know how to use Pythagorean Thrm forwards and backward How do you use to identify the type of triangle Special Right Triangles and Distance in the coordinate system Equations of Circles 1. Given the following sides of a triangle 9, 1, and 15. What kind of triangle is it? a. Right b. Acute c. Obtuse d. Sides do not make a triangle. Given the following sides of a triangle 3,7, and 9. What kind of a triangle is it? a. Right b. Acute c. Obtuse d. Sides do not make a triangle 3. Given the standard form of a circle x x y 6y 6 0, what is the equation of the circle? a. ( x 1) 4 b. ( x 1) 4 c. ( x 1) 4 d. ( x 1) ( y 3) 4 4. In triangle RST, angle R is a right angle. If TR=6 and TS=8, what is the length of side RS? a. 7 b. 10 c. 7 d. 5. Which equation represents a circle with a radius of 4 and a center at (5,-3)? a. ( x 5) 4 b. ( x 5) 16 c. ( x 5) 4 d. ( x 5) The equation of a circle is ( x ) ( y 5) 3. What are the coordinates of the center of this circle and the length of the radius? a. (,5); 16 b. (, 5); 16 c. (,5);4 d. (, 5);4 7. Which equation represents the circle whose center is (3,3) and that passes through the point (- 1,3) a. ( x 3) 4 b. ( x 3) 4 c. ( x 3) 16 d. ( x 3) 16

3 1. The sides of the figure shown are given in centimeters. a. What is the exact value of x? b. What is the area of the figure round to the nearest hundreth?. The box below has the dimensions as shown. The length of the diagonal shown is 34 cm. Find the value of x. Unit 6 Similarity and Right Triangle Trig (Ch 11 and 1) Set up and solve proportions Prove triangles or polygons similar Indirect measurement Proportional Segments between parallel lines Trig ratios and word problems, angle of elevation and depression. What is the length of AC a. 7 b. 11 c. 1 d Which Statement of Similarity identifies the two similar triangles and gives the correct justification of their similarity? In RST, RS=19 cm, m 36 o R and m S 48 o

4 o In UVW, UW=51 cm, m W 36 and m U 51 o a. RST ~ UVW ; AA b. RST ~ WUV ; AA c. RST ~ VWU ; SAS d. The triangles are not similar Triangle XYZ can be transformed to triangle X Y Z by translating the triangle XYZ and then performing a dilation center at the origin. Identify the translation and the scale factor for the dilation a. Translate 5 up and 9 right, dilate b. Translate 5 up and 9 right, dilate 0.5 c. Translate 5 down and 9 left, dilate d. Translate 5 down and 9 left, dilate A tree casts a shadow that is 150 feet long as shown in the diagram. If the angle of elevation from the tip of the shadow to the top of the tree is tree to the nearest foot? a. 87 feet b. 106 feet c. 1 feet d. 59 feet 8. Given the picture to the right find the value of x and y. a. X=5, y=5 b. X=3.85, y=6.15 c. X=6.15, y=3.85 d. Can t be done 0 30 how tall is the

5 9. In the diagram below TWV ~ XWY. Based on the dimensions shown, what is the length of TX T a. cm b. 4 cm X c. 6 cm d. 10 cm 6 cm W 45 4 cm Y V 10. Circle all the equations below that can be used to find the value of y in the diagram below At takeoff, a plane flies at an angle of elevation of 10. What is the planes vertical distance above the ground after it has traveled a ground distance of,800 feet? a. Draw and label a sketch of this situation b. Write an equation and use it to find the plane s vertical distance (to the nearest foot) above the ground. Show all work. 1. Triangle BCD is transformed to triangle B C D. Determine the center of dilation and the scale factor for the dilation shown below. Justify your solution.

6 Unit 7 Area, Surface Area and Volume (Ch 8 and 10) Area of Kite, Trapezoid, triangles, parallelograms, regular polygons (short cut and long way) Surface area of prisms, pyramid, cylinders and cones Volume of prisms, cylinders, cones, pyramids and spheres 1. Find the area of trapezoid shown in figure 6 a. 80 b. 10 c. 160 d Figure What is the measure of the central angle a. b. 30 c. 60 d What is the area of each piece a. b. c. 4 d Find the area of the shaded region. Use 3.14 for and round your answer to the nearest hundredth. a cm b. 8.7cm c cm d cm

7 5. Abraham works at the Delicious Cake Factory and packs each cake in a container shaped like a right circular cylinders with a hemisphere on top, as shown below. Abraham will wrap the container completely in colored plastic wrap and needs to know how much wrap he will need. If the formula for the surface area of a sphere is, what is the total exterior surface area of a container? a. 90 square inches. b. 115 square inches. c. 165 square inches. d. 190 square inches. 4 r 6. Part A: Jesse says that he can find the surface area of the figure to the right by adding the surface area of the rectangular prism and the surface area of the square pyramid. Is he correct? Explain. Part B: Find the surface area of the figure. Show your work. Unit 8 Reasoning with Circles and Circle Properties (Ch 6)) Tangents to circles Chords and the properties Intercepted arcs Arcs and Angles Arc Length

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9 Misc Systems of equations Patterns finding the next term in the sequence and writing a rule or equation Solving quadratics and interpreting them Solve the equation by factoring: 0 = x + 3x 4 and show all work in the space provided Solve the equation by completing the square: x + 10x = 9 and show all work in the space provided. Dave sold 60 tickets for a concert. He sold some of the tickets at $10 each and the rest of the tickets at $15. He collected $75. Write and solve a system of equations to determine the number of tickets he sold at each price. Show all work in the space provided. Solve the following system of eqautions x + 3y = 8 y = 11 + x

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