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NAME___________________KEY_______________________
GEOMETRY
CHAPTER 1: FORM A
SCORE = 41 pts.
POINTS, LINES, ANGLES, & PLANES
Find the term, define and/or draw a diagram that best represents the term.
Term
(LG1)
Definition
Points that lie on the same plane
Diagram
●
Coplanar
●
Points that lie on the same line
●
Collinear
Acute
Obtuse
Supplementary Angles
Vertical Angles
Right
Linear Pair (of Angles)
Angle Bisector
Ray
An angle that has a measure of less
than 90
An angle whose measure is greater
than 90 and less than 180 degrees.
Two angles whose measures have a
sum of exactly 180. Can be adjacent
or nonadjacent.
Two nonadjacent angles formed by
two intersecting lines. These angles
are congruent to each other. ‘One
point in common, the vertex’
A pair of angles whose sum is 90.
Two adjacent angles whose sum is
180. ‘2 angles that make a line’
A ray that divides an angle into 2
congruent angles
Part of a line with an endpoint and
extending indefinitely in one
direction.
●
●
●
(a) Graph and label each point on the coordinate plane and
(LG2)
(b) determine what quadrant the ordered pair is in.
11.A(-3, -2)
From Origin:
Move 3 units left & 2 units down
11b. III
12. B(1, 4)
Move 1 unit right & 4 units up
12b. I
13. C(0, -3)
Move 3 units down
13b. y-axis
14. D(3, -4)
Move 3 units right & 4 units down
14b. IV
15. E(5, 0)
Move 5 units right
15b. x-axis
Points G(4,11) and H(-3,-10) lie on the graph of y = 3x - 1.
(LG3)
Determine whether each point is collinear with G and H. (Write collinear or noncollinear) (Show work)
16. R(5, 14)
14 = 3(5) - 1
16. collinear
17. S(3, 7)
7 ≠ 3(3) - 1
17. noncollinear
18. T(-2, -5)
-5 ≠ 3(-2) - 1
18. noncollinear
Draw and label a figure for each relationship (use the right hand side).
⃡ . (LG2 & 3)
19. Points X and Y are collinear and lie on 𝑇𝑊
20. Planes MNPR and HNPI intersect at NP. (LG2 & 3)
21. Angles ABC & CBD are supplementary and ∠ABC is obtuse. (LG2)
19.
●
T
●
X
●
Y
●
W
M
N
H
R
P
I
20.
21.
C
A
B
D
For 22-23: Find the missing measure if: A = LW and p = 2L + 2W. (Show all work).
(LG4)
22. A = 21 in2 , L = 7in., W = ?
21 = 7W
22. 3
23. W = 16 in., L = 20in., p = ?
p = 2(20) + 2(16)
23. 72
24. Find the (a) perimeter & (b) Area
24a. 27 in
10.5 in.
b. 31.5 𝒊𝒏𝟐
3in.
25. If the perimeter of a rectangle is 28 inches, find the maximum area of the
rectangle. (Show all work).
25. 7 x 7 = 49 𝒊𝒏𝟐
Find the distance between the two points using the distance formula or Pythagorean Theorem.
Round to the nearest tenth. (Show all work)
26. (1, 4) (5, 6)
√(𝟓 − 𝟏)𝟐 + (𝟔 − 𝟒)𝟐
26. 4.5
27. (-6, 8) (-20,-4)
√(−𝟐𝟎 − (−𝟔))𝟐 + (−𝟒 − 𝟖)𝟐
27. 18.4
28. In the coordinate plane (Problems 11-15), what is the midpoint of AC?
−𝟑+𝟎
𝟐
M=(
,
−𝟐+(−𝟑)
𝟐
)
28. (-1.5, -2.5)
(LG5)
.
For 29-30: If B is between A and C, find the missing length.
(LG5)
29. AB = 6.8, BC = 3.7, AC=?
6.8 + 3.7
29. 10.5
30. AB=? , BC = 8.7, AC= 10.8
10.8 – 8.7
30. 2.1
31. In problem 21, what kind of angle is ∠CBD?
32. Find m∠RSP.
31. Acute
R
T
32. 22
S
(4x + 10)°
(2x + 16)°
33. Find m∠RST
33. 158
P
4x + 10 = 2x + 16
x=3
V
180 – 22 = 158
4(3) + 10 = 22
A
D
34. 109 – 37 = 72
34. If m∠ABD = 37 and m∠ABC = 109,
find m∠DBC.
B
C
R
35. Find m∠RSU if 𝑆𝑇 bisects m∠RSU,
m∠1 = 3x – 12, and m∠2 = 2x + 2.
35. 60
T
2
S
1
U
3x – 12 = 2x + 2
x = 14
3(14) – 12 = 30
30(2) = 60