these are some geometry worksheets. if you have any questions please let me know!!!!!
\fProperties of Triangles Circuit Directions: Begin with problem #1. Perform the operation(s) necessary to arrive at your answer. Show work! Circle your answer then hunt for it and number that problem #2. Proceed in this manner until you complete the circuit. Attach extra sheets if the extra room is necessary to show your best work. Answer: 17 Answer: _ 140 #1_If DE = 2y -6 and BC = 28, solve for y Solve for y 50 Answer: 18 Answer 22 (4x + 10] Solve for x. Solve for x. (3x - 101% Answer: 15 (2x 4 111" Answer:_ 35 Solve for Solve for x. (3x - 22) Answer: 10 Answer: _ 14 Solve for x. (5x + 21> 0 AADC = ADEF Solve for x Antwer: 40 Answer: 45 Solve for y- Ax + 81 12x + 317 Solve for x. 514. The dilation D: (x, y) + (3x, 3y) has been Chapter 7 Test Similarity applied to the polygon S(-1, 1), 7(1. 1), U(0, 3). What are the coordinates of the Select the best answer. 1. Which similarity statement is true for the 5. The dilation D: (x, y) = (0.2x. 0.2y) has triangles shown? been applied to the polygon S(-5, 5), T(-5, 10), U(5, 15). What are the coordinates of the image points? 300, 240 180 6. To measure the distance across a pond, a surveyor locates points A, B. C. D, and E A ABC = DEF as shown. What is AB to the nearest B ABC - FED meter? 2. Which value of x make the two 5m reclangles similar? 126 5 m 8 m 3. A room has the dimensions shown. A scale drawing of the room is actually 1.5 in. wide. What is the length of the scale drawing? 4 yds in 1.5 in. 3 yds7. What is the length of AC ? 30 50 20 B E 24 60 TSI PR. what is the length of 05? 25 15 12 9. For what value of JN is MW | | KC? K 14 M 28 L:10 N 10. In the figure, BC parallel DE. What Is AE? G11 SO is a midsegment of ZNOP. What is the length of OP ? 12. The scale on a map uses 3 centimeters to represent 4 kilometers. The distance between two towns on the map is 6 centimeters. How many kilometers apart are the towns? 13. The scale on a map is 1.5 cm : 1280 m. If the distance between the school and the library on the map is 12 centimeters, what is the actual distance between the buildings? 14. A student who is 60 inches tall measured shadows to find the height of a tree. The student's shadow was 24 inches long, and the shadow of the tree was 13 feet long. Which proportion should the student use to find the height of the tree in inches? 15. Which are the coordinates of triangle ABC with vertices A(0, -2), B(-2, 2), and C(2, 4) after a dilation with a scale factor of 27 16. Find OF, 3017. Triangle ABC ~ Triangle JKL, JL = 16, JK = x, AC = 5x, and AB = 125. Find AC. 18. What is CD if I ABCD - UTUVW? 126 4X -6 6 2x + 184 19. Triangle JKL - Triangle MNO. The similarity ratio of JKL to MNO is - IN What is the length of MN ? 27 O. 35 20. Which coordinates for V make triangle SOT ~ triangle UOV? U(0, 4) S(0, 2) O T(3, 0)Find the measure of each angle in the figure at the right. Show your work! 9. m 21 = 58' 10. mz2 = 36 11. m23 = 34Find the measure of each angle in the figure at the right. Show your work! 12. mz1 = 13. m24 : 14. m23 = 15. mc2 = 16. mx5 = 17. mc6 = Describe the congruence transformation between the two triangles as a slide, a flip, or a furn. Then name the congruent triangles. 18. 19. 20. 21. Identify the congruent triangles 22. Name the congruent angles and sides if in the figure below. AGKP = ALMN M PDetermine which postulate or theorem can be used to prove that the triangles are congruent. It it is not possible to prove that they are congruent, write not possible. 23. 24. 25. 27. 28. 26.Geometry Chapter 4 Review Name Follow all directions carefully! For questions 1 - 5. refer to the figure at the right. 1. Name all of the right triangles. 2. Nome all of the isosceles triangles. 3. Nome all of the obtuse triangles. A 4. Name all of the acute triangles. 5. Nome all of the scalene triangles. Find the value of x and the measure of each side of the triangle in questions 6 and 7. Show your world 6. A FGH is equilateral, FG = x - 5. 7. ALAN is isosceles, 2L is the vertex angle. GH = 3x - 9, and FH = 2x - 2 LM = 3x - 2, LN = 2x . 1, and MN = 5x - 2 Find the measures of the sides of & KPL and classify the triangle by its sides. Show your world B. K(-3,2), P(2,1), L(-2,-3) Find the measure of each angle in the figure at the right. Show your world 9. m 21: 10. m/2 = 11. m23 =Find the measure of each angle in the figure at the right. Show your world 12. myIs 13. mc4: 14. m23. 15. mz2 : 16. m45 : 17. mc6 : Describe the congruence transformation between the two triangles as a slide, a filip, or a turn. Then name the congruent triangles. 18. 19 20. 21. Identify the congruent triangles 22. Name the congruent angles and sides if in the figure below. AGKP ~ ALAN M Determine which postulate or theorem can be used to prove that the triangles ore congruent. It it Is not possible to prove that they are congruent, write not possible. 23 24. 25. 26. 27. 28 SDetermine which postulate or theorem can be used to prove that the triangles are congruent. It Is not possible to prove that they are congruent, write not possible. 29. 30. 31 Find the value of x. Show your work. 32. 33. 34 2 35 36. 37. Write a proof. 38. Given: RS = TS V is the midpoint of RT Prove: ARSV = 4TSVWrite a proof. 39. Given: S is the midpoint of QT. QRI TU Prove: QR E TU D 40. Given: D = CF GE bisects DEF G Prove: D6 = F6 F
