Download Unit 2 Part 1 Review (Honors)

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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.