Download CP Geometry Midterm Review.

Geometry Midterm Review
Day 1
Name
Directions: Show all work on the back of this paper. While not every question requires work, many do, and
you will not receive full credit on this of the back of this paper is blank. Write your answer only in the spaces
provided on the front of this paper. Also, keep in mind that you may use one page of notes on the test.
Chapter 1
Section 1.2 Points, Lines, and Planes
*Look at all definitions (points, lines, rays, etc…)
on pp 10-12
Do: p 13 # 3-6, 18, 28
18.
20.
P 29
1.
2.
Section 1.3 Segments and their measures
*Look at segment addition postulate on p 18,
distance formula on p 19, and Pythagorean theorem
on p 20, review how to measure to the nearest
millimeter
Do: p 803 #14-20 even
3.
4.
P 803
24.
26.
Section 1.4 Angles and their measures
*Look at parts of an angle on top of p 26 and the
different types of angles on p 28, review how to
measure with a protractor to the nearest degree
Do: p 29 # 1-4 & p 803 #24-28 even
P 804
33.
34.
35.
36.
28.
37.
Section 1.5 Segment and Angle Bisectors
*Look at the midpoint formula on p 35 and
examples 3 & 5 on page 37.
Do: p 804 #33-37
Section 1.6 Angle Pair Relationships
*Look at the definition of vertical angles and linear
pair on p 44, and complementary and
supplementary angles on p 46.
Do: p 47 #10, 12, 24, 30, 46, 50
P 47
10.
12.
24.
30.
46.
50.
*1)Find the point 3/4 of the way from point A(2, 5)
to point B(-3, 7)
*Finding the point that divides a segment into a
given ratio: Use the following formula:
 h  x2  (k  h) x1 h  y2  (k  h) y1  for A(x1,y1)
,

 B(x2,y2)
k
k


Do: Problems *1 & *2.
and ratio h/k
Answers:
P 13
3.
4.
5.
6.
18.
28.
P 803
14.
16.
*2)Find the point 2/5 of the way from point A(0, -1)
to point B(5, 10)
Geometry Midterm Review
Day 2
Name
Chapter 3
Section 3.1 Lines & Angles
*Look at p 131 the special angles formed by 2 lines
and a transversal & p 129 note parallel,
perpendicular, and skew
Do: p 807 # 1-12
Do: p 434 #17*, 19*, 23 *For these problems, just
give the coordinates of the point(s) after the
transformations (You don’t need to draw these or
anything.) **also do additional questions 1&2
Section 3.3 Parallel Lines & Transversals
*Look at postulates and theorems on p 143
Do: p 808 #14-18 even
P 807
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
P 808
14.
16.
Section 3.6 Parallel Lines in the coordinate plane
*Look at postulate 17 p 166 and example 6 p 167
Do: p 169 # 24, 32, 40
Section 3.7 Perp. Lines in the Coordinate Plane
*Look at post. 18 on p 172 and examples 1, 3, & 5
Do: p 175 #8, 20, 27, 38
Chapter 7
Section 7.1 Rigid Motion in a Plane
*Look at p 396 image, preimage, reflection,
rotation, and translation, and p 397 isometry.
Do: p 399 #5-7, 24, 25, 34
Section 7.2 Reflections
*Look at the coordinate rules for reflections on p
404 , look at lines of symmetry on p 406.
Do: p 407 #12, 48, p 815 #16, 18
Questions/Answers:
18.
P 169
24.
32.
40.
Section 7.3 Rotations
*Note the following coordinate rules:
90o clockwise / 270o counterclockwise:
(x, y)  (y, -x)
o
180 clockwise / counterclockwise:
(x, y)  (-x, -y)
270o clockwise / 90o counterclockwise:
(x, y)  (-y, x)
Do: p 416 # 10-12, 34, p 816 #24
P 175
8.
20.
27.
38.
p 399
5.
6.
Section 7.4 Translations and Vectors
*Look at describing translations in the coordinate
plane (middle of p 422), and the component form of
a vector on top of p 423.
Do: p 425 #4, 16, 18, 26
7.
24.
Section 7.5 Glide Reflections and Compositions
*Look at all of the coordinate rules from sections
7.2 –7.4 (Make sure to write these down on your
notes sheet!)
p 407
25.
34. a=
12.
b=
48. x=
c=
d=
y=
z=
*MORE ON BACK 
Additional Problem #2:
p 815
16.
18.
Graph the figure below after the transformation
(x,y) -> (x-3, y+4)
p 416
10.
34.
11.
12.
b=
c=
d=
e=
p 816
24.
A=
A’ =
B=
B’ =
C=
C’ =
p 425
4.
16.(a)
(b)
18.
26.
p 434
17.
19.
23.
P’ =
P’’ =
Q’ =
Q’’ =
R’ =
R’’ =
P’ =
P’’ =
Q’ =
Q’’ =
R’ =
R’’ =
then
Additional Problem #1:
What is the image of the point (4, -2) after the
translation by the vector <-7, 9>?
Geometry Midterm Review
Day 3
Chapter 4
Section 4.1
*Look at triangle names on p 194; review triangle
sum theorem on pp 196-197
Do: p 198 #20, 36 & additional Problem #1
Name
Answers:
P 198
20.
36. x=
m  Y=
Section 4.2 Congruence & triangles
*Look at congruent triangles, corresponding sides,
and corresponding angles on p 202.
Do: p 206, #10-12, 28
Section 4.3 & 4.4 Proving Triangles are congruent
*Look at SSS, SAS, ASA & AAS; Do: p 809 #14,
15, 17-19, p 217 #20
mW =
classify triangle:
Additional Problem #1: Use the definition of
congruence in terms of rigid motions to determine
whether the two figures below are congruent. If
they are congruent, state the series of rigid
transformations that map one onto the other.
Section 4.6 Isosceles, Equilateral, & Right triangles
*Look at base angles thm p 236, HL p 238
Do: p 239 # 8, 11, 13, 15
Chapter 8
Section 8.1 Ratio and Proportion
*Look at p 457 example 1 and remember how to
cross multiply to solve proportions
Do: p 462 #41, 55
P 206
10.
11.
12.
28.
Section 8.2 Problem Solving with Proportions
*Look at green boxes on p 465 and Example 2
Do: p 817 #13, 24
P 809
14.
15.
17.
18.
Section 8.3 Similar Polygons
*Look at examples 1 & 5, and scale factor
Do: p 817 #26, 27
Section 8.4 Similar Triangles
*Look at AA postulate on p 481
Do: p 818 #30, 31
Section 8.5 Proving Triangles are Similar
*Look at p 488 SSS and SAS
Do: p 818 #36, 38
Section 8.6 Proportions and Similar Triangles
*Look at Theorems on p 498 & 499 Do: p 818, #40
(just solve for x) & additional problem #2
Section 8.7 Dilations
*Look at Reductions and Enlargements and
examples 1 & 2 on page 507 & 508
Do: p 818 #47 * additional problem #3
19.
p217
20. 1.
2.
3.
4.
P 239
8.
11.
13.
15.
p 462
41.
55.
817
13.
24.
*MORE ON BACK 
p 817
26.
27.
u=
y=
z=
p 818
30.
31.
p 818
36.
38.
p 818
40.
x=
Additional Problem #2
x
Use the triangle proportionality theorem to solve for
x & y.
12
26
y
P 818
47. A’(
, ) B’(
,
) C’(
,
) D’(
,
Additional problem #3.
C
1
4
36
x
B'
B
15
10
Identify the dilation then use the scale factor to
solve for a & b.
k=
)
38
8
65
y
D
C'
z
D'