Download 2x+6 18 50 5x

Geometry Midterm:
Chapters 1-4
Name: ____________
Date: _____________
Version A
Use the given diagram to solve 1-4
1. Another name for line q would be:
a) DEF
b) AE
c) EF
d) AEB
2. Another name for plane K would be:
a) EAB
b) DEX
c) FED
d) WED
3. A point collinear to line AE is:
a) D
b) p
c) B
d) K
4. A ray opposite to ray EA could be:
a) EB
b) ED
c) EF
d)AE
5. Find the distance of XY if X(-9, 2) and Y(5, -4)
a) √200
b) √52
c) √232
d) √20
6. Find the midpoint of XY if X(-9, 2)
and Y(5, -4)
a) M(-7, 3)
b) M(2, 1)
c) M(7, -3)
d) M(-2, -1)
7. If Q is the midpoint of PR, find the
coordinates of R if P(11, -2) and Q(4, 3).
a) R(-3, 8)
b) R(18, -7)
c) R(9, -4)
d) R(7.5, .5)
8.
9. M is the midpoint of line AB.
10. Find point P if AB is partitioned into a ratio
5x - 4
Value of x is:
a) 1
b) 4/6
c) 12
d) 3
x+8
2x+6
Value of x is:
a) 24
b) 13
c) 6
d) 22
18
50
of 3 to 1 with A(-3, 5) and B(7, 1).
a) (9/2, 2)
b) (-1/2, 4)
c) (4, 6)
d) (-10, 4)
Geometry Midterm:
Chapters 1-4
Name: ____________
Date: _____________
11. Find the area of the given shape.
a) 11
b) -8
c) 59
d) 30
12. Find the perimeter of the given shape.
a) √8 + √17 + √6
b) √41 + √40 + √13
c) √41 + √34 + √25
d) √7 + √14 + √2
A(0, 4)
B(2, 1)
C(-4, -1)
13. ∠ABC = 37, Solve for x:
a) -18
b) 5
c) 88/7
d) 178/7
A
14. Solve for x:
a) 37
b) 17
c) 19
d) 7
X
B
15. Solve for x:
a) 46
b) 44
c) -1
d) 43/2
Version A
(3x - 6)°
(4x + 10)°
C
(3x - 1)°
16. Ray MQ is bisecting ∠LMO. Solve for x:
a) 130/11
b) 40/7
c) 50/7
d) 50/11
L
Q
(x - 3)°
(2x + 50)°
M
O
Given the statement: “If you wear a helmet,
then you will be safe” answer 17-18.
17. The converse is:
a) If you do not wear a helmet, you will not be
safe.
b) If you are safe, then you are wearing a
helmet.
c) If you are not safe, then you are not wearing
a helmet.
d) If you wear a helmet, then you will not be
safe.
18. The inverse is:
a) If you do not wear a helmet, you will not be
safe.
b) If you are safe, then you are wearing a
helmet.
c) If you are not safe, then you are not wearing
a helmet.
d) If you wear a helmet, then you will not be
safe.
Geometry Midterm:
Chapters 1-4
Name: ____________
Date: _____________
Version A
19. Identify the shown property:
½(x) = 4 becomes x = 8
20. Identify the shown property:
If a = b, and b = 13, then a = 13
a) Addition property
b) Subtraction property
c) Multiplication property
d) Division property
a) Reflexive property
b) Symmetric property
c) Transitive property
d) Substitution property
21. Identify the shown property:
x - 3 = 4 becomes x = 7
22. Identify the shown property:
If a = a
a) Addition property
b) Subtraction property
c) Multiplication property
d) Division property
a) Reflexive property
b) Symmetric property
c) Transitive property
d) Substitution property
For questions 23-28, fill in the blanks using the given choices.
Given: XY ≅ UV , YZ ≅ TU
Prove: XZ ≅ TV
Statements
Reasons
1. XY ≅ UV,
YZ ≅ TU
Given
2. XY = UV,
YZ = TU
Question 23.
3. XY + YZ = XZ,
TU + UV = TV
Question 24.
4. UV + YZ = XZ,
YZ + UV = TV
Question 25.
5. XZ = TV
Transitive Prop.
6. XZ ≅ TV
Def of congruence.
23-25
a) Addition property
b) Segment add postulate
c) Definition of midpoint
d) Definition of congruence
e) Substitution
Geometry Midterm:
Chapters 1-4
Name: ____________
Date: _____________
Given: ∠PQR is a right angle
Prove: ∠PQS and ∠SQR are
complementary
Version A
26-28.
Statements
Reasons
1. ∠PQR is a right angle
Given
2. Question 26.
Definition of
right angle
3. Question 27.
Angle
addition
postulate
4. Question 28.
Transitive
property
5. ∠PQS and ∠SQR are
complementary
Definition of
complementa
ry ∠’s
a) m∠PQS + m∠PQR = m∠SQR
b) m∠PQS + m∠SQR = m∠PQR
c) m∠PQS+ m∠SQR = 90°
d) m∠PQR = 90°
e) m∠PQR = 180°
29. Which plane is parallel to plane EFL?
a) AGH
b) CIH
c) DJI
d) EKL
30. Which segment is not skew to KJ?
a) DJ
b) LG
c) AF
d) DC
Name the given angle pair.
31. ∠1 and ∠8 are:
a) Corresponding ∠’s
b) Alternate interior ∠’s
c) Alternate exterior ∠’s
d) Consecutive interior ∠’s
e) Consecutive exterior ∠’s
32. ∠11 and ∠13 are:
a) Corresponding ∠’s
b) Alternate interior ∠’s
c) Alternate exterior ∠’s
d) Consecutive interior ∠’s
e) Consecutive exterior ∠’s
Geometry Midterm:
Chapters 1-4
Name: ____________
Date: _____________
Version A
33. If ∠13 and ∠12 are congruent, then
a) l||m
b) m||n
c) l||n
d) j||k
34. If ∠22 and ∠23 are supplementary, then
a) l||m
b) m||n
c) l||n
d) j||k
35. If z||y, find the value of x.
a) x = 15
b) x = 25
c) x = 165/13
d) x = 29/7
36. Which equation accurately represents the
graph?
37. Determine whether QR and ST are parallel,
perpendicular, or neither
Q(4, 8), R(7, 4), S(-2, -3), T(10, 6)
38. Which line is perpendicular to the given line
below?
2y + x = 10
a) Parallel
b) Perpendicular
c) Neither
a) y = ½x + 7
b) y = -½x + 6
c) y = 2x + 9
d) y = -2x + 10
39. Which equation has a slope of 3 and passes
through the point (-2, 3)?
40. Which equation passes through the points
(4, -1) and (1, -16)?
a) y = -3x - 2
b) y = -3x - 6
c) y = 3x + 9
d) y = 3x + 3
a) y = 5x - 21
b) y = 3x + 5
c) y = 5x - 2
d) y = x + 2
a) y = -2x + 1
b) y = ½(x)
c) y = ½(x) + 2
d) y = 2x + 2
Geometry Midterm:
Chapters 1-4
Name: ____________
Date: _____________
Version A
41. Write an equation that is parallel to
3x – 2y = 14 and passes through the point
(-6, -11).
a) y=3/2x-2
b) y=-2/3x-15
c) y=2/3x+15
d) y=3/2x-14
42. Given lines y = 4 and x = -2, are they
parallel, perpendicular, or neither?
Quadrilateral
WXYZ with
vertices W(-1, 1),
X(2, -3),
Y(0, -6), and
Z(-2, -5)
43. Reflect over x-axis.
a) W(-1, 1), X(2, 5), Y(0, 7), Z(-2, 6)
b) W(-1, -1), X(2, 3), Y(0, 6), Z(-2, 5)
c) W(1, -1), X(-3, 2), Y(-6, 0), Z(-5, -2)
d) W(1, 1), X(-2, -3), Y(0, -6), Z(2, -5)
44. Translate (x + 5, y - 2)
a) W(1, -4), X(4, -8), Y(2, -11), Z(0, -10)
b) W(-3, 6), X(0, 2), Y(-2, -1), Z(-4, 0)
c) W(4, -1), X(7, -5), Y(5, -8), Z(3, -7)
d) W(-6, 3), X(-3, -1), Y(-5, -4), Z(-7, -3)
W
ZY
Select the correct
points
after each given
transformation.
Rhombus PQRS
with
vertices P(-8, 6),
Q(-4, 8), R(0, 6),
and S(-4, 4)
Select the correct
points
after each given
transformation.
P
Q
S
R
X
a) Parallel
b) Perpendicular
c) Neither
45. Rotate 90° Counter Clockwise.
a) P(-6, -8), Q(-8, -6), R(-6, 0), S(-4, -4)
b) P(8, -6), Q(4, -8), R(0, -6), S(4, -4)
c) P(6, -8), Q(8, -4), R(6, 0), S(4, -4)
d) P(-6, 8), Q(-8, 4), R(-6, 0), S(-4, 4)
46. Scale on a factor of ½
a) P(-16, 12), Q(-8, 16), R(0, 12), S(-8, 8)
b) P(4, -3), Q(2, -4), R(0, -3), S(2, -2)
c) P(16, -12), Q(8, -16), R(0, -12), S(8, -8)
d) P(-4, 3), Q(-2, 4), R(0, 3), S(-2, 2)