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Name:_______________________________________________ Period ___________ Geometry Unit 2: Angles and Lines Test Review Part I: Types of Angle Pairs Solve for x. 1. (9x + 3)° 2. (9x – 5)° (13x + 9)° (13x – 9)° 3. ⃗⃗⃗⃗⃗⃗ 𝐷𝐵 bisects ∠ADC, m∠ADB = (4x + 15)°, and m∠BDC = (6x – 5)° A 4. (3x – 10)° B C x° D Part II: Angles and Parallel Lines Find the value of x so the lines are parallel. 5. (4x – 6)° 6. (x2 + 78)° (3x + 6)° (81 – 4x)° 7. 8. (3x + 10)° (5x + 36)° (5x + 18)° (x2 – 30)° 9. Find m∠1. 10. Find m∠2. (7x – 5)° (3x)° 2 1 (5x + 19)° (9x + 12)° Part IV: Slope and Midpoint 15. Find the midpoint of a segment with endpoints A( –9, 3) and B(4, 7). 16. Are both pairs of opposite sides parallel? A B C D ̅̅̅̅ 17. Find the coordinates of the missing endpoint of 𝐷𝐹 given one endpoint F(5, 8) and the midpoint E(4, 3). Part V: Equations of Lines 19. Write an equation of a line that is parallel to y = 4x – 6 that goes through the point (2, 5). 21. Are the 2 lines parallel, perpendicular or coincident? 2x + y = 3 –10x – 5y = 20 ̅̅̅̅ 18. Find the coordinates of the missing endpoint of 𝐷𝐹 13 9 given one endpoint F(7, 1) and the midpoint E( 2 , 2). 20. Write an equation of a line that is perpendicular to y = –2x + 2 that goes through the point (0, 0). 22. Are the 2 lines parallel, perpendicular or coincident? –15x + 5y = 30 6x – 2y = 12 23. Write an equation of a line that is parallel to the given line and goes through the point (–3, –1). 24. Write an equation of a line that is perpendicular to the given line and goes through the point (1, 1). 25. Write the equation of a line that goes through the points (-6, 2) and (4, 3). 26. Write an equation of a line parallel to the line from #25.