Download Review Worksheet Chapter 3 part 1 alternate exterior angles

Geometry
Review Worksheet Chapter 3 part 1
alternate exterior angles
alternate interior angles
corresponding angles
exterior angle of a triangle
parallel lines
Name:
parallel planes
perpendicular lines
point-slope form
remote interior angles
same side interior angles
skew lines
slope
slope-intercept form
sum of the angles of a triangle
transversal
In #1-6, complete the sentences with the vocabulary words from the list above.
1. A(n) _________________ intersects two or more coplanar lines at distinct points.
2. The measure of a(n) ____________________ of a triangle is equal to the sum of the measures of its
two remote interior angles.
3. The linear equation y – 3 = 4(x + 5) is in _________________________ form.
4. Nonadjacent interior angles on opposite sides of a transversal are ___________________________.
5. Noncoplanar lines that do not intersect are ____________________.
6. The linear equation y = 3x – 5 is in _________________________ form.
In #7-10, identify each of the following.
7. all segments skew to AB
8. a pair of parallel segments
9. a pair of perpendicular segments
use for #7-10
10. a pair of planes that appear to be parallel
In #11-14, identify the transversal and classify each angle pair.
11. <5 and <2
12. <6 and <3
13. <2 and <4
14. <1 and <2
use for #11-14
(over)
In #15-18, find each angle measure. Show work when appropriate.
15. m<WYZ
16. m<KLM
17. m<DEF
18. m<QRS
In #19-20, find the value of x for which l || m. Show your work.
19.
20.
In #21-25, use the given information and the figure to the right to decide which lines, if any, are
parallel. Justify your conclusion.
21. <1  <9
22. m<3 + m<6 = 180
23. m<2 + m<3 = 180
24. m<5 = m<11
25. <4  <8
In #26-29, find the measures of the numbered angles in each figure.
26.
27.
28.
29.
In #30-32, find the value of each variable in the figures.
30.
31.
32.
For #33-34, use the slope formula to determine the slope of each line. Show work.
33.
34.
(over)
In #35-37, use slopes to determine whether the lines are parallel, perpendicular or neither. Show
all work (i.e. find the slope of each line, then answer ||, , or neither with appropriate notation).
35. EF and GH for E(8, 2), F(-3, 4), G(6, 1), and H(-4, 3)
36. JK and LN for J(4, 3), K(-4, -2), L(5, 6), and N(-3, 1)
37. ST and UV for S(-4, 5), T(2, 3), U(3, 1), and V(4, 4)
In #38-40, write the equation of each line in the indicated form. Show work.
38. the line through (-3, 5) with slope 
39. the line through (-3, -4) with slope
1
in slope-intercept form
3
2
in slope-intercept form
3
40. the line through (1, -9) with slope 3 in point slope form