Download Use inductive reasoning to find the next two numbers in each pattern

Geometry
Chapter 1 Review
Use inductive reasoning to find the next two numbers in each pattern.
1.
1 3 5 7
, , , , ____, ____
2 4 6 8
3.
1, 4, 10, 19, ____, ____
2.
3, 5, 9, 15, ____, ____
Use inductive reasoning to sketch the next shape in each pattern.
4.
5.
Write a formula for the nth term in the pattern.
6.
7.
TERM
1
2
3
4
n
VALUE
3
6
9
12
?
Determine whether the following statements are true or false.
a.) Points A, B, and C are collinear.
F
E
D
b.) Points A, B, and C are coplanar.
c.) Point F lies on DE.
C
d.) DE lies on plane DEF.
A
e.) BD and DE intersect.
f.) BD is the intersection of plane ABC and plane DEF.
B
8.
In the diagram of collinear points, GK=24, HJ=10, and GH=HI=IJ. Find each length.
a.) HI
b.) IJ
c.) GH
d.) JK
e.) IG
f.) IK
9.
G
H
I
K
J
Draw a sketch of the three collinear points. Then write the Segment Addition Postulate for the
points.
S is between D and P
10.
Suppose J is between H and K. Use the Segment Addition Postulate to solve for x, then find
the length of each segment.
HJ = 2x + 5
KH = 48
JK = 3x + 3
11.
Find the distance between points A (3,2) and B (2,0).
12.
Use the Angle Addition Postulate to find the measure of the unknown angle.
a.)
m KLH __________
H
b.)
m DOG__________
D
C
J
25
65
K
40
L
O
G
13.
Find the measure of each angle.
m POQ = (3x + 3)
m QOR = (6x + 4)
m POR = (15x – 3)
R
Q
O
P
14.
Find the midpoint of AB if A = (-7, 4) and B = (8, -8).
15.
Find the other endpoint of AB with midpoint M if A = (5, 7) and M = (-1, -3).
16.
If M is the midpoint of AB, solve for x and find AB.
a.)
5x-17
b.)
3x+14
M
A
19x+38
B
A
17.
RQ bisects PRS and m TRS = 140. Solve for x.
T
P
40
Q
R
(3 x+20)
S
15x-25
M
B
18.
Find the m DAT.
D
(3x+20)
M
19.
(2x+40)
A
T
Solve for x.
20.
(3 x + 17)
Solve for y.
110
(2 x + 8)
(2 y + 40)
21.
Solve for x and y.
(2 x + 8)
(3 x + 17)
22.
A is supplementary to B and
complementary to C.
Find m A, m B, and m C.
A = (x + 10)
B = (12x + 1)
C = (5x + 2)
(5 y + 15)
23.
W and Z are complementary. Z is five times the measure of W. Find m W.
24.
Always / Sometimes / Never
a.)__________If two angles are complementary, then they are adjacent.
b.)__________If two angles are a linear pair, then they are adjacent.
c.)__________If two angles are vertical angles then they are adjacent.
d.)__________If two angles are supplementary, then one angle is acute and one angle is obtuse.
25.
Find the value(s) of the variable(s).
(y - 12)
(3 y - 8)
26.
(6 x - 3 2)
(2 x - 2 0)
Find the value(s) of the variable(s).
(2 y + 28) (4 x + 10)
(4 y + 26) (3 x - 5 )
27.
Given: A and B are complementary.
Find: m A and m B.
m A = (5x+8)
m B = (x+4)