Chapter 1 Review

1
Chapter 1 Review
2
Make sure you know how to

• Factor to solve word problems
• Define and draw examples of any vocabulary words
• Explain in words why you did what you did

3
Lesson 1
E
A
B

• How many planes are in the figure? Name all
  planes in the figure
• Name 3 collinear points. Explain how you know
  they are collinear
• Name 4 non-coplanar points. Explain.
• Name a line that intersects plane Y

G
F
D
Y
C
4
Lesson 2
Find a if AB 4a 10, BC 3a 5, and AC 19.
C. Find x and SU if T is between S and U, ST
7x, TU 42, and TU 5x 3.
5
Lesson 3

• Given the ordered pairs, find the distance and
  midpoint
• A(1, 4) B(3, 6)
• A(-5, -3) B(-7, -3)
• Use the number line for each question
• Find the distance for AH and DB
• Find the midpoint for CE and GA

A
B
C
D
E
F
G
H
-5
0
5
6
Lessons 4 5
C
B
A
D
G

• Name a pair of obtuse vertical angles
• Name a pair of acute vertical angles
• Name a pair of supplementary angles
• Name a pair of complementary angles
• If angle AGF 3x-8 and angle CGDx24, find x and
  the measure of angle AGF
• If angle BGD3a33 find a
• If ray GC is an angle bisector then what is the
  measure of angle BGC?

E
F
7
More Lessons 4 5

• If two angles are supplementary and the measure
  of one angle is 5 more than 4 times the other,
  what are the measures of the angles?
• If angles 1 2 are complementary and angle 2 is
  10 more than 3 times angle 1, what is the measure
  of each
• If two angles form a linear pair and they are
  congruent then what are the measures of the
  angles?
• If two angles are supplementary and one angle is
  equal to half the other angle plus 18, what are
  the measures of the angles?

8
Answers

• Slide 1
• 4 planes Planes Y or FGD, EGD, EGF, and EFD
• Points A, B, C are collinear because the all
  share the same line
• Points A, G, D, and E (or A or C) are
  non-coplanar because E is not in the plane with
  A, G, and D.
• Line AC

9
Answers

• Slide 2
• a 2
• x 9, SU 105

10
Answers

• Slide 3
• (2, 5)
• 2 (-6, -3)
• AH 16 DB 5
• Mdpt of CE 0 mdpt of GA -3/2

11
Answers

• Slide 4
• Angles AGC and FGD
• Angles AGF and CGD
• Angles AGF and FGD/AGC
• Angles AGB and BGD
• Angles CGD and ACG/DGF
• Angles BGC and CGD
• 3x-8x24, x16, angle AGF40
• 45 degrees each

12
Answers

• Slide 5
• 54xx180
• 55x180, x 35, angles 35 and 145
• X3x10 90
• 4x1090, x20, angles 20 and 70
• 90 degrees each
• x 1/2x 18180
• 3/2x 18180, x108, angles 108 and 72