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Transcript
Geometry Unit 3 Practice Test Good Luck! Name:________________________ Period_______________________ Date:________________________ Match the definition with its term. _e__1. Coplanar lines that do not intersect. a. Skew Lines _d__2. A line that intersects two or more coplanar lines. b. Interior Angles _b__3. Angle pairs created between two lines cut by a transversal. c. Alternate Angles _c__4. Angle pairs on opposite sides of the Transversal. d. Transversal _a__5. Non-coplanar lines that do not intersect. e. Parallel lines 6. Identify the type of special angle pair from the figure: t 1 a) 2 b) angles 4 and 6:same side interior 4 3 c) angles 1 and 5:corresponding 6 5 m 7 n angles 2 and 7:_alternate exterior 8 d) angles 3 and 6:alternate interior Geometry Unit 3 Practice Test Page 2 7. To construct a line perpendicular to AB through point C not on the line using a compass and straight edge explain what is being done at each of the steps below: D E B A C a) Draw a line and then using the compass draw an arc at two separate locations on the line. F D E B A C b) Using the compass at each of the points draw two arcs to intersect at one point on the opposite side of the line creating point f. Geometry Unit 3 Practice Test Page 3 F D E B A C c) Draw a line from point F to point C creating the perpendicular bisector of the line. Using the given information, find the measure of the requested numbered angles. 1 m 2 4 3 5 n 6 8 7 t 8. m∠1 = 53°. Find m∠ 3 and m∠7. m<3 = 53 m<7 =53 9. m∠5 = x+1; m∠2=x+30. Find x, m∠6, and m∠4. M<6 = 104.5 m<4 75.5 Geometry Unit 3 Practice Test Page 4 Using the diagram above and the given information complete the following proof: Given: ∠4 and ∠5 are supplementary. Prove: m∥n Statements ∠4 and ∠5 are supplementary. m∠4+m∠5=180° m∠4+m∠1=180° m∠4+m∠5= m∠4+m∠1 m∠1=m∠5 (∠1≅∠5) m∥n Reasons 10. Given 11. Definition of Supplementary Angles 12. Corresponding Angles & substitution 13. transitive property 14. subtraction property & def of congruent angles 15. converse of corresponding angles Choose if the following line pairs are perpendicular (⊥), parallel (∥) or neither. 16. x = -5 Y = -5 17. ⊥ y = ½x + 5 4y –2x = 24 ∥ 18. 3x+5y = 8 5y+3y = 15 19. ⊥ 2x-y=8 1 y x 11 3 neither Geometry Unit 3 Practice Test Page 5 20. a) Find the slope of AB with points A(1, -4) and B(3,2) 2 b) Write the equation of this line in slope intercept form. Y = 2x -6 c) Write an equation of the line that is parallel to this line. Y = 2x 21. In the figure below what measure of FGH 41°. 2 x 15 l F G m 41° H What value of x would make line l parallel to line m? a) 58 b) 77 c) 103 d) 32