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Name: _______________________________________ Geometry A Date: _______________ Midterm Review Packet Name: _______________________________________ Date: _______________ In the exercises below , use the diagram to the right. 9. 10. 11. 12. 13. 14. 15. 16. 17. Geometry A Midterm Review Packet Name: _______________________________________ Date: _______________ Find the indicated length. 18. 20. 19. 21. Find the length of the segment. Leave answer in simplest radical form. 22. Find the midpoint of the segment. 23. Geometry A Midterm Review Packet Name: _______________________________________ Date: _______________ 25. 24. Solve for the indicated angle measure. 27. 26. 28. m ABD Geometry A 29. Midterm Review Packet Name: _______________________________________ Date: _______________ Area and Reasoning 30. 31. 32. Using the diagram below, that represents a kitchen floor, answer the following questions. a. What is the area of the kitchen? b. If the floor is to be tiled, how many tiles would be needed if the tiles are 1/3 ft squares? c. If a package of 15 tiles costs $8.99, how much would it cost to tile the kitchen? 13 feet 3 feet 6 feet Geometry A 8 feet Midterm Review Packet Name: _______________________________________ 1. Date: _______________ __________________________________ 2. ______________________________________________ 3. _________________________________________________________________ 4. _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ 5. _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ 6. _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ Geometry A Midterm Review Packet Name: _______________________________________ Write a two column algebraic proof. 7. Date: _______________ 8. Choose the best answer for each multiple choice question. 12. 9. 13. 10. 11. Geometry A Midterm Review Packet Name: _______________________________________ Date: _______________ Chapter 3: Parallel and Perpendicular Lines Use the figure at the right to answer the following questions. 1.) Name a line parallel to CD . ______________ 2.) Name a line skew to CD . _______________ 3.) Name a line perpendicular to CD . ____________ 4.) Name a plane parallel to ABC. ______________ 5.) Name a plane perpendicular to ADE. _____________ Use the figure at the right to answer the following questions. 6.) Classify the pair of angles: 3 and 7 7.) Classify the pair of angles: 4 and 5 8.) Classify the pair of angles: 3 and 6 9.) Classify the pair of angles: 4 and 7 10.) Find the measure of the numbered angles in the figure below. m 1 = _______ m 2 = _______ 115o 1 2 3 m 3 = _______ m 4 = _______ 4 6 m 5 = _______ 5 7 m 6 = _______ m 7 = _______ Geometry A Midterm Review Packet Name: _______________________________________ Date: _______________ 11.) Find the value of x and y. 110o (3y - 20)o (2x + 50)o 12.) Find the value of x that makes m || n. m (7x - 12)o (2x + 33)o n 13.) Find the value of x that makes m || n. m (4x + 33)o n (3x + 70)o Geometry A Midterm Review Packet Name: _______________________________________ Date: _______________ 14.) Find the slope of the line that passes through the points (2 , -4) and (-6 , 2). 15.) Find the slope of the line that passes through the points (-3 , 7) and (-3 , 18) 16.) Find the slope of a line parallel to the line 2x + 3y = 7. 17.) Find the slope of a line perpendicular to the line 7x + y = 14. Write equations to Parallel and Perpendicular Lines 18.) Find the equation of the line parallel to the line 2x - 4y = 3 passing through the point (4 , 8). 19.) Then find the equation of the line perpendicular to the line x - 3y = 3, passing through the point (4, 8). Geometry A Midterm Review Packet Name: _______________________________________ Date: _______________ Chapter 4: Congruent Triangles 1.) What is m W if m X = 59o and m XYZ = 137o. 2.) Find 3.) What is the value of n? 4.) What is the measure of Geometry A Midterm Review Packet Name: _______________________________________ Date: _______________ Classify the following triangles by their angles. 5.) 6.) 7.) 60o 40o 70o 60o 60o 70o Classify the following triangles by their sides. 8.) 9.) 10.) Find the measure of A in each of the triangles below. A C 11.) 12.) 30o 72o A B B C 13.) Find the value of x. 4x - 26 x + 43 50o Geometry A 50o Midterm Review Packet Name: _______________________________________ Date: _______________ 14.) Which of the following is NOT a triangle congruence postulate? A.) Side-Side-Side B.) Side-Angle-Side C.) Angle-Side-Angle D.) Side-Side-Angle Fill in the correct statements for each proof for each of the following. 15.) Given: D and E are right angles. GF bisects DE Prove: DHG EHF Statements Justifications (1) (1) Given (2) (2) Definition of Right Angles (3) (3) Given (4) DH HE (4) (5) (5) (6) DHG EHF (6) Geometry A Midterm Review Packet Name: _______________________________________ 16.) Date: _______________ Given: AD || CD DB CB Prove: ADB ECB Statements Justifications (1) (1) Given (2) D C (2) (3) (3) Given (4) (4) (5) ADB ECB (5) Sketch the 5 triangle congruency theorems and show how you would use them on the triangle. Geometry A Midterm Review Packet Name: _______________________________________ Date: _______________ Chapter 6: Similarity Answer the following questions. Find x or the ?. (1) (2) (3) (4) (5) (6) Geometry A Midterm Review Packet Name: _______________________________________ Date: _______________ 7. Name the type of transformation shown. 8. Use a reflection in the y-axis to draw the other half of the figure. 9. Figure ABC has vertices A (–3, 3), B (1, –1), and C (0, 5). Sketch ABC in pen and draw its image after the translation (x, y) → (x – 1, y + 2) Geometry A (x, y) → (x – 1, y + 1) Midterm Review Packet Name: _______________________________________ Date: _______________ 10. State the triangle that represents the image: 90° clockwise rotation of HGC about point J. 11. State the segment that represents the image: 90° counterclockwise rotation of MG about point J. You can use tracing paper to help you see the rotation. 12. Figure ABC has vertices A (–3, 3), B (1, –1), and C (0, 5). Sketch ABC in pen and draw its image after the translation. (x, y) → (x + 1, y – 2) (x, y) → (x + 4, y + 2). 13. Write the coordinate translation that moves each figure on the coordinate plane. (2 pts) figure 1 figure 2 (x, y) figure 3 figure 4 (x, y) figure 3 figure 2 (x, y) figure 4 figure 2 (x, y) Geometry A Midterm Review Packet Name: _______________________________________ Date: _______________ Chapter 7: Right triangles Solve each variable. (1) (2) (3) 18 x 8 (4) (5) (6) (7) (8) (9) Geometry A Midterm Review Packet Name: _______________________________________ Date: _______________ Chapter 7: World Problems using Right Triangles 10. A tree has a support rope tied to its top and secured to the ground, 40 feet from the base of the tree. If the rope is 50 feet long, how tall is the tree? 11. The home owner wants to place a support beam diagonally between two legs of his deck. If the legs are 12 feet tall and 8 feet apart, how long of a support beam will he need? Support beam 12. Find the height of an equilateral triangle that has side lengths of 8 inches. Round answer to the nearest hundredth. Sketch the figure. 13. Find the perimeter of the rectangle at the right. 26 24 Geometry A Midterm Review Packet Name: _______________________________________ Date: _______________ 14. A 24 foot ladder is leaning against a wall. If the base of the ladder is 8 feet from the base of the wall, how far up the house will the ladder reach? 15. Use the Geometric Mean to solve for the variable(s). Geometry A Midterm Review Packet