Chapters 1-5 Secondary Math II Name SAGE Test Review WS Period Please remember to show all your work to receive full credit. 1. Find the distance and the midpoint between (-4,-9) & (1,-8). No decimals! 2. Identify each of the following in the figure: a) All collinear points: b) All coplanar lines: c) All skew lines: d) All points: e) All lines: f) Two rays: g) Two line segments: 3. The measure of angle T is 25. a. What is the measure of an angle that is complementary to T? b. What is the measure of an angle that is supplementary to T? 4. Name all sets of angles for the figure: a) Corresponding angles: b) Vertical angles: c) Alternate interior angles: d) Alternate exterior angles: e) Same-side interior angles: f) Linear pairs: 5. Using the figure from #5, assume that lines c and d are parallel. If angle 4 is 67 o, find all of the remaining angles. m 1 = m 2 = m 3 = m 5 = m 6 = m 7 = m 8 =
6. Solve for x in each figure. a. b. 7. Write the converse and contrapositive of the conditional statement. Then determine if they are true or false. If a quadrilateral is a rhombus, then it has four sides. 8. List the side lengths from shortest to longest. 9. List the angles from smallest to biggest. 10. Solve for x AND find the measure of each missing angle. 11. Determine if it is possible to form a triangle. Explain your reasoning. a. 7 m, 6 m, 13 m b. 3 ft, 2.9 ft, 5 ft 12. Find each missing side: a. For a 30-60-90 triangle, the short side is 9.6 inches. b. For a 45-45-90 triangle, the hypotenuse is 12 feet. c. For a 30-60-90 triangle, the longer side is 14 meters. d. For a 45-45-90 triangle, the short side is 7 5.
13. Rodney is picking apples from the tree in his yard. He rests a 28 foot ladder against the tree at a 30 degree angle. How far is the top of the ladder from the ground? 14. A tent has a mesh door that is shaped like a 45-45-90 triangle. The longest side of the door is 42 inches. What is the area of the mesh door? 15. Similar triangles have sides and angles. 16. GHI has vertices G(3,5), H(9,12), and I(7,7). What are the vertices of the image after a dilation with a scale factor of 5 using the origin as the center of dilation? 17. Are the triangles similar? If so, explain your reasoning and write the similarity theorem. a. b. 18. Calculate the length of the indicated figure. 19. Solve each triangle for the missing value. a) b)
20. Solve for each missing variable: a) b) 22. You are standing at point D in the diagram looking across a bog at point B. Point B is 104 yards from point A and 205 yards from point C. How wide is the bog? 23. List the corresponding sides and angles, 24. Name the type of quadrilateral that best using congruent symbols, for the following describes each figure. triangles. a. b. # 25 27: Determine whether there is enough information to prove that each pair of triangles is congruent. If so, write a congruence statement and justify your reasoning. 25. 26. 27. #28-29: Make a two-column proof (statement-reason) and prove that the triangles are congruent. 28. Prove RST is congruent to WZT. 29. Prove MNP is congruent to PQM
Chapters 6-11 Secondary Math II Name SAGE Test Review WS Period Please remember to show all your work to receive full credit. 1. Calculate the sum of the interior angles of a 20-sided polygon and find the measure of each interior angle. 2. What is the sum of the measure of the exterior angles of any polygon? # 3 4: Calculate the number of sides of the regular polygon given the measure of each exterior angle. 3. 40 4. 60 5. What is the measure of an exterior angle if 6. Find the value of x in the figure below. it is adjacent (next to) to an interior angle of a polygon that measures 112? For each of the quadrilaterals, sketch an example and state/mark at least 2 qualities for each. a. Square b. Rectangle c. Parallelogram d. Rhombus e. Kite f. Isosceles Trapezoid
7. Find the value of each variable in the parallelograms: a. b. 63 #8-10: Use a trigonometric ratio(s) to determine the values of x. Round your answer to the nearest tenth. 8. 9. 10. 11. Find each missing side OR angle (SOH-CAH-TOA) to two decimal places. a. b. #12-13: Draw a picture to describe the following information for each question. 12. Matt is flying a kite on the beach. The kite is attached to a 100-foot string and is flying 45 feet above the ground. Calculate the measure of the angle formed by the string and the ground.
13. A park has a skateboard ramp with a length of 14.2 feet and a length along the ground of 12.9 feet. The height is 5.9 feet. Calculate the measure of the angle formed by the ramp and the ground. #14-16: Use a calculator to approximate the m A. Round answers to one decimal place. 14. sin A 0.83 15. cos A 0.97 16. tan A 1.43 m A m A m A 17. Find each missing measure. a) m D 68 b) m A c) m C 89 m B m E m C 26 medc AB 14 AC 6 BC 18. Find the area of the sector with a central angle measure of 83 o and a radius of 32 feet. 19. Find the arc length of the sector in #18.
20. Write the word(s) that best describe: a) XR b) MB c) JN d) XRF e) JPE f) T g) FR h) PC 21. Find the value of x. 22. Find each of the missing values. (Angles: x, y; Arcs: a, b, and c) 23. Find the volume of each figure: a) b) c) d) e) f) Prism with lengths 5, 6, & 15 cm.