UNIT 1: Use the following to review for you test. Work the Practice Problems on a separate sheet of paper. What you need to know & be able to do Things to remember A. Solve for x when the angles are supplementary. Angles add to 180º 1. 2. One angle is 12 more than twice its supplement. Find both angles. B. Solve for x when the angles are complementary. Angles add to 90º 3. 4. 3x + 10 and 2x – 5 are complementary. Solve for x. C. Recognize and solve vertical angles Set vertical angles equal to each other 5. 6. D. Name and solve problems involving angles formed by 2 parallel lines and a transversal. Consecutive interior angles are supplementary. Alternate interior, alternate exterior, and corresponding angles are congruent. 7. 8. 9. 10. E. Recognize and solve midsegment of a triangle problems A midsegment connecting two sides of a triangle is parallel to the third side and is half as long. 11. 12.
F. Recognize and solve triangle proportionality theorem problems If a line to one side of a intersects the two sides of the triangle, then the line divides these two sides proportionally. 13. 14. for x in problems involving the sum of the interior angles of a triangle. The interior angles of a triangle sum to 180°. 15. 16. H. Solve for x in problems involving the exterior angle theorem. The measure of an exterior angle of a triangle equals to the sum of the measures of the two remote interior angles of the triangle. 17. 18. I. Recognize and problems involving the congruent base theorem. If two sides of a are , then the angles opposite those sides are . 19. 20. J. Name Corresponding Parts of Triangles. K. Determine if 2 triangles are similar, and write the similarity statement Remember the 3 ways that you can do this: AA, SAS, SSS 25. 27. ΔGNK ~ ______ by______ 26. 28. Δ ABC ~ ______by____ K. Determine if two triangles are congruent. Remember the 5 ways that you can do this: SSS, SAS, ASA, AAS, HL 27. 28.
What you need to know & be able to do Things to remember A. Perform a dilation with a given scale factor When the center of dilation is the origin, you can multiply each coordinate of the original figure, or pre- image, by the scale factor to find the coordinates of the dilated figure, or image. 29. Dilate with k = ½. 30. Dilate with k = 2. B. Find the missing side for similar figures. Set up a proportion by matching up the corresponding sides. Then, solve for x. 31. 32. 33. 34. Unit 2 – Right Triangle Trigonometry
angles in a right triangle. The value of is . What is the value of ? Triangle is a right triangle with right angle , as shown. What is the area of triangle ? A road ascends a hill at an angle of . For every 120 feet of road, how many feet does the road ascend? Given triangle , what is ? In a right triangle, if , what is ? In right triangle , if and are the acute angles, and , what is ? Find the measure of angle . Round your answer to the nearest degree. Solve for . You are given that . What is the measure of angle ? A ladder is leaning against a house so that the top of the ladder is 18 feet above the ground. The angle with the ground is 47. How far is the base of the ladder from the house?
What you need to know & be able to do Things to remember Find the measure of arcs from central angles. Angle = Arc 1. Find 2. Find 3. Find 4. Find Find the measure of arcs and angles with inscribed angles 5. Find 6. Find 7. Find 8. Find Find the measure of arcs and angles if the angle is inside the circle 9. Find and 10. Find the value of x. 11. Find 1 & 2 12. Find 1 & 2 Find the measure of arcs and angles if the angle is outside the circle. 13. Find 1. 14. Find 1 & 2. 15. Find 1 & 2. 16. Find the value of x. Find the area of circles 17. The area of a circle is 31.4 cm2. What is the radius? 18. Find the area of a circle with a diameter of 22 inches.
Step 1 Decide whether the events are inclusive. The events overlap: there is a card that is both a 3 and a heart. The events are inclusive. Step 2 Find the probability of drawing a 3. Step 3 Find the probability of drawing a heart. Step 4 Find the probability of drawing a 3 and a heart. Step 5 Use the rule for the probability of inclusive events. P(3 or heart)  P(3)  P(heart)  P(3 and heart) Charles draws a card from a deck. Find each probability. 3. He draws a red card or a king. a. P(red) b. P(king) c. P(red and king) d. P(red or king)  P(red)  P(king)  P(red and king) 4. He draws a diamond or a face card. a. P(diamond) b. P(face card) c. P(diamond and face card) d. P(diamond or face card)  P(diamond)  P(face card)  P(diamond and face card) ______________________________________________________________________