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Geometry Chapter 4 Test Section: 5 points each Basic: 1 Correct: 3 points Proficient: 2 Correct: 4 points Advanced: 3 Correct: 6 points MUST SHOW ALL WORK FOR FULL CREDIT! Section 1: Congruent Figures – B. ABCDEFG HIJKLMN, complete each of the following statements. P. Write a congruence statement for the the following pair of triangles. a. ED _____ Name____________________ Date ___________ Period ___ b. <C _____ Δ______ Δ______ A. WXYZ PQRS. Find the perimeter of quadrilateral PQRS. Section 2: Triangle Congruence – State the postulate or theorem you would use to prove each pair of triangles congruent. If the triangles cannot be proved congruent, write not possible. a. b. c. d. e. Section 3: Using Congruent Triangles – Complete the following two-column proof. Given: X is the midpoint of AD and BC Prove: AB DC Statements: 1. X is the midpoint of AD and BC 1. 2. BX CX, AX DX 2. 3. <BXA <CXD 3. 4. ΔBXA ΔCXD 4. 5. AB DC 5. Reasons to choose from: Reasons: Definition of Midpoint, CPCTC, SAS, Vertical Angles, Given Section 4: Congruent Triangles and Systems of Equations – B. Explain how you can use SSS, SAS, ASA, or AAS with CPCTC to prove the statement BE DE is true. P. Solve the system. y = 3x + 5 y–x=1 A. Solve the system. y = –3x + 4 –6x – 2y = 12 Section 5: Isosceles and Equilateral Triangles – B. Find the value of x and y. P. Find the value of m and n. A. Find the value of a, b and c. Section 6: Congruence in Right Triangles and Using Congruent Corresponding Parts– B. Separate and redraw ΔABE and ΔBAC. Identify any common angles or sides. P. Name a pair of overlapping congruent triangles in the diagram below. State whether the triangles are congruent by SSS, SAS, ASA, AAS or HL. Given: QD UA; <QDA <UAD Δ______ Δ______ by ________ A. For what values of x and y are the triangles congruent by HL? Section 8: Chapter 1 – 3 Review – Each multiple choice question is worth two points. Circle the correct letter. 1. Which line is parallel to y A. y 4 x 2 1 x 6? 4 B. y 4 C. y B. 30 C. 20 1 x7 4 D. y 1 x7 4 2. Find the value of x. A. 40 D. 10 3. Classify <2 and <4 in the figure at the right. A. alternate interior angles B. alternate exterior angles C. same-side interior angles D. corresponding angles 4. Find the value of x in the figure at the right. A. 10 B. 12.5 C. 20 D. 25 5. What is the midpoint of the segment with endpoints (2, 8) and (-6, 10)? A. (-2, 9) B. (-4, 1) C. (-4, 9) D. (-2, 1) 6. What is the circumference of a circle with a radius of 12in? A. 6 in B. 12 in C. 24 in D. 144 in 7. What is the area of rectangle LMNO? A. 7 B. 364 C. 26 D. 182 8. What is the classification of a triangle with all angles less than 90°? A. scalene B. acute C. right D. obtuse 9. If the measure of an angle is 86, what is the measure of its supplement? A. 4 B. 104 C. 94 D. 274 10. Find the next two terms of the sequence 10, -14, 18, -22, … A. -26, 30 B. -30, 26 C. 26, 30 D. 26, -30 11. An isosceles triangle has two angles measuring 50 and 80. What is the measure of the third angle? A. 80 B. 50 C. 20 D. 130 C. plane D. ray 12. Which is an intersection of two distinct planes? A. point B. line 13. Write an equation in point-slope form for the line that passes through the point (-2, 7) with the slope 3. A. y = 3x – 2 B. y = 3x + 7 C. y = 3x + 13 D. y = 7x + 3 14. What is the slope of the line passing through the points (5, -3) and (7, 1)? A. ½ B. 2 C. -1 D. 1 15. Which of the following is your favorite high school class? A. Geometry B. Lunch C. English D. P.E.