Download Geometry Chapter 3 Review

Geometry Chapter 3 Test Review
Name
Period ________
#1-6 Name the pairs of angles that are given.
1. 1 and 3 are
angles.
2. 2 and 7 are
angles.
3. 5 and 8 are
angles.
4. 3 and 6 are
angles.
5. 4 and 6 are
angles.
6. 1 and 5 are
angles.
3
1
2
4
7
5
6
8
#7-8 Given two parallel lines, find the values of the variables requested below.
4x  5
35
o
7. x =
8. x =
2x  3
y=
47
o
y2
#9-10 Find the value of x so that p II q .
9. x =
p
10. x =
o
136
27
o
2x  5
q
p
3x  2
q
#11-15 Using the diagram below, solve the following problems for x. SHOW ALL WORK!
11. If 1 = 5x - 7 and 2 = x + 17
Find x =
1
5
12. If 1 = 5x + 10 and 4 = 45
Find x =
2
3
7
6
4
8
13. If 6 = 2x + 8 and 4 = x + 22
Find x =
14. If 1 = 130 and 8 = 4x – 2
Find x =
and m7 =
15. If 3 =72 Find the following: 1 =
2 =
4 =
6 =
7 =
8 =
5 =
16. Find the slope of the line through the points: A(-3, -4) and B(-2, 6).
17. Find the slope of the line through the points: C(7, -8) and D(-3, 8).
18. Write an equation of the line that has a slope of -4 and a y-intercept of 3.
19. Write an equation of the line that passes through the point P(2, -1) and has a slope of 5.
20. Write an equation of the line that passes through the point (-3, 5) and parallel to the line y   x  4 .
21. Write an equation of the line that passes through the point (3, 4) and perpendicular to the line
22. Given the equation: y 
y  3x  2 .
4
x2
3
a.
What is the slope of the line?
b.
What is the slope of a line parallel to the given line?
c. What is the slope of a line perpendicular to the given line?
#23-24 The slopes of two lines are given, are the two lines parallel, perpendicular, or neither?
23. m1 
24.
5
7
and m 2 
7
5
m1  6 and m 2  
1
6
25. Is line AB perpendicular to line CD? Work must be shown to justify your answer!!
A(-3, 4) & B( 2, -2)
26. Given two lines,
C(2, -3) & D(8, 2)
y1  5x  2 and y 2 
1
x  7 , are the lines perpendicular?
5
27. Given 4 x  3 y  2 and 8 y  6 x  7 , are the lines perpendicular?
28. Graph: y  
1
x  3.
2
29. Graph: 3 x  2 y  6
#30-33 Find the perimeter/circumference AND the area of each figure – be specific with the units!
30.
Triangle
31.
Square
11 yd.
3 yd.
5 yd.
32.
6 ft.
7 yd.
Circle – Diameter is 6 m.
33.
Rectangle
6 m.
9 in.
3.2 in.
34. Write the following sentence as a conditional sentence. Then write the inverse, converse, and contrapositive
of the conditional sentence.
When the sun is behind the clouds the temperature is cool.
Conditional
Inverse
Converse
Contrapositive