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Honors Geometry
Chapter 3 Test Review (Complete on your own paper)
1-8. Use sketch to name the angle pairs.
1
a
2
3
b
4
6
5
8
7
1
4
3
6
8 7
5
r
1. ∠8 , ∠ 4
5. ∠2, ∠ 4
2. ∠6, ∠ 3
6. ∠5, ∠1
3. ∠6, ∠4
7. ∠6, ∠7
4. ∠7 , ∠1
8. ∠5, ∠ 3
c
9. In the sketch, l || n and r is a transversal.
Are the statements to the right true or false?
2
Name _____________________
Hour ____ Teacher __________
a.
b.
c.
d.
e.
f.
g.
∠3 ≅ ∠5
∠1 ≅ ∠5
∠1 ≅ ∠8
∠2 ≅ ∠6
∠6 and ∠7 are supplemental
∠2 and ∠4 are supplemental
∠7 and ∠4 are supplemental
n
l
10. Find the value of x that makes l || m .
11. Find x.
l
A
(4x - 3)°
(14x - 33)°
m
J
12. Graph:
C
(3x + 3)° (10x - 70)°
5x – 4y = 8
x=4
y = -2
K
13. Graph the line that satisfies the following conditions:
contains the point B (1, -4) and is perpendicular to line
JK with J(-2, 1) and K(3, 2).
Remember to label each line on your graph.
14. Name one pair of angles which, if congruent,
would prove m || n. EXPLAIN.
n
x 3 6 m
y
4
7
.
3
a. State the slope of a line parallel to line l.
b. State the slope of a line perpendicular to line l.
15. Line l has a slope of
5
1
2
16. Write an equation in point-slope form for the line that passes through the points (3, -5) and (5, -9).
17. Convert the equation from #16 to slope-intercept form.
18. Convert the equation from #16 to standard form.
19. Write the equation of the line in slope-intercept
form that passes through the point (7, -5) and is
parallel to the line that goes through the points
(2, 5) and (-5, 2).
20. Write the equation of the line in standard form
that passes through the point (-20, 40) and is
perpendicular to 4x – 5y = 8.
21. Solve this system using substitution:
22. Solve this system using elimination:
3y - 4x = 7
2y + 3x = 16
5y + 3x = 2
x = 3y + 10
23. a) Graph the point C (4, -1) and line m , which is
4
y = − x - 4.
3
b) Draw the segment that shows the distance
from point C to line m.
c) Write the equation for the line from point C to
line m in slope-intercept form. Show all work.
d) Use substitution or elimination (don’t guess)
to determine the point where your line in part
c intersects line m. Show all work.
e) Find the distance from point C (4, -1) to
line m. Show all work.
24. Complete the proof puzzle with the pieces given.
Given:
m
f || g
l
16
15
14
13
10 9
11
12
8
7
5 6 2 1
3
l || m
Prove: ∠7 ≅ ∠11
f
g
4
Statements
Reasons
∠15 ≅ ∠11
Transitive
∠7 ≅ ∠11
l || m
If || lines, then alt. int. ∠' s ≅
If || lines, then corr. ∠' s ≅
∠7 ≅ ∠15
f || g
25. Draw a line and a point not on the line. Construct a line parallel to given line through the point not on the
given line by corresponding angles.
26. Draw a line and a point not on the line. Construct a line parallel to given line through the point not on the
given line by alternate interior angles.
27. Draw a line and a point not on the line. Construct a line perpendicular to given line through the point not
on the given line.
28. Draw a line and a point on the line. Construct a line perpendicular to given line through the point on the
given line.