Download Unit 1 Review

Unit 1 Review
Geometry 1
Solving Equations I
Variables on One Side
6x – 8 = 40
7 – 3x = 28
-12 = 5x + 8
Solving Equations II
Combining Like Terms
3m + 2 + 6m = 38
15 = 4u + 2 + (-2u) - 7
Solving Equations III
Variables on Both Sides of an Equation
7 + 3a = 9a + 1
15 – 2s = 2s - 5
Intersection
The intersection of two planes is a __________.
The intersection of two lines is a ___________.
Term
conjecture
counterexample
ray
line segment
opposite rays
midpoint
angle
linear pair
supplementary angles
complementary angles
acute angle
obtuse angle
ray
line segment
bisect
coplanar
collinear
Definition
Example
Naming Geometric Items
Line
Segment
Ray
Angle
M
R
E S
P
E
C
T
T
H E
A
T
H
Draw four collinear points, W, I, N, and S so that WI and
WN are opposite rays and WN and WS the same ray.
Draw five collinear points, S, U, P, E, and R so that PU & PR are
opposite rays and PS, PE, & PU the same ray.
Writing Addition and Equality Statements
K
J
M
B
A
T
C
S
I
H
I
Writing Addition and Equality Statements
G
E
R
C
A
G
E
L
A
R
T
O
D
T
B
B
C
A
D
E
O
C
A
D
E
O
Examples to Support & Counterexamples
Give one example that supports the conjecture,
and one counterexample that shows the
conjecture is false.
All geometry students are male.
All angles are congruent.
Segment Length
If RS = 16 and QS = 25, find QR.
Q
R
S
If RS = 5 + x, QR = 6x - 3 and QS = 58, find QR, RS.
Q
R
S
A, B, and C are collinear.
B is between A and C.
AB = 10 – 2w, BC = 6w – 1, and AC = 49
a. Draw a picture to represent the statement.
b. Write a segment addition statement for the picture.
c. Solve the equation for w. w=
d. Find AB and BC.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
80/3
13
10
5/2
6
-12
-18
-2
11
-8
-7
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
-8
5
4
-3
-2
8
95/13
20
35/3
1
31. Line
32. Point
33. A in the middle, C &
D on 1 side, B on the
other
34. M in the middle, A
on 1 side, T & H on
the same side
35. L in the middle,
R,S,U on 1 side, E on
the other
36. G in the middle with
R,E,T on 1 side, A on
the other.
Ex. 1: 2
Ex 2: 4
Ex. 3: 15,21
Ex. 4: 15,32
RST: w =
24, 21,
3
ABC w = 8,
-10, 47
JKL w = 3
19, 10
Day 2 – Review Warmup
1. The intersection of two lines is a ______.
2. The intersection of two planes is a ______.
3. Q, R, and S are collinear. R is between Q and S.
RS = 5 + 3x, QR = 6x - 3 and QS = 56, find QR and RS.
4. Give one example that supports the conjecture, and
one counterexample that shows the conjecture is
false.
All angles are right angles.
5. Draw four collinear points, F, I, N, and E so that NF
and NE are opposite rays and NI and NF the same
ray.
Writing Addition and Equality Statements
K
M
3x + 26
C
J
12x - 11
S
I
3x
6x + 2
H
I
56
B
C
A
3x + 2
E
8x - 13
O
D
Writing Addition and Equality Statements
G
G
5x + 6
R
E
3x + 14
R
A
C
T
5x - 4
O
6x - 6
A
7x + 56
T
L
7x + 10
E
D
Sketching Angles
What’s your favorite angle measurement?
Sketch it. Is it acute, straight, right, or obtuse?
Bisecting an Angle
Bisect BTW with ray TI.
BTW measures 82°.
Name 2 adjacent angles.
Find the measure of BTI and ITW.
Bisect ABC with ray BD.
ABD measures 36°.
Name 2 adjacent angles.
Find the measure of DBC and ABC.
Area & Perimeter/Circumference
Circle
What is radius?
What is diameter?
Rectangle
Square
Triangle
Distance & Midpoint I
Find the midpoint and length of the segment
connecting (8, -5) and (6, 1).
Distance and Midpoint II
y
Plot Point F (-6, 2).
6
C
B
Find the midpoint of FA.
Calculate the distance
from Point B to the midpoint
of FA.
6x
–6
A
–6
Assignment
Front Page: top problem (KIJ), 3rd problem (KIJ)
Page 1, back: 1, 2, 7, 8, 12-24 (even)
Page 2, front:
1st column – sketch the angles & classify
2nd column – first 5 problems – stop at Bisect MAN
Page 2, back: 1-7 all
Page 3, front: Midpoint and Distance Problems: 1,
2and 4