This is the Semester 2 final covering Units 5,6, and 7
You may use your notes, past assignments, and desmos to complete this assessment.
Complete the entire test and show your work for full credit.
Responses without work will receive no points.
Geometric Sequences
Pitanje 1
1.
Given the geometric sequence, find the next three terms.
What is the ratio?
r=_______
-3, 6, -12, _______ ,_______ ,_______
Pitanje 2
2.
Constructing Rules for Geometric Sequences
144, 36, 9, ...
a) What is the first term?_______
b) What does r=_______
The Rule for Geometric Sequences
Write the rule for the nth term in the geometric sequence.
_______
What is the 5th term in the sequence.
To find the 5th term what does n=_______
Find the a₅
_______
Exponential Functions
Pitanje 3
3.
Use two points to write an equation for each function shown.
What is the starting point.
a=_______
What is the ratio?
b=_______
What does the function equal when x=6?
y=_______
Pitanje 4
4.
An investment of $5,000 earns 8% interest every year.
The exponential equation that represents this investment is:
Does this situation represent Exponential Growth or Exponential Decay?
_______
What is the initial amount?
a=_______
What is the pattern? (Write your answer as a decimal)
b=_______
How much money will you have after 8 year?
_______
Translations
Pitanje 5
5.
Perform the given translation and state the transformed points of the new shape.
Triangle A'B'C'
A'_______
B'_______
C'_______
Be sure your answer is in coordinate form (x,y). No spaces
Reflections
Pitanje 6
6.
Perform the given reflection and state the transformed points of the new shape.
Triangle F'G'H'
F'_______
G'_______
H'_______
Be sure your answer is in coordinate form (x,y). No spaces
Then graph the new image.
Rotations
Pitanje 7
7.
Graph and label each figure and its image under the given rotation.
Identify the coordinates of the image.
Triangle M'N'P'
M'_______
N'_______
P'_______
Be sure your answer is in coordinate form (x,y). No spaces
Then graph the new image.
Sequence of Transformations
Pitanje 8
8.
Start with Triangle ABC with vertices A(3, 7), B(2, 1), and C(5, 2):
Perform the following sequence of transformations. Graph and label each new image:
a) rotate 180° counterclockwise about the origin
A'_______
B'_______
C'_______
b) reflect on the x-axis
A''_______
B''_______
C''_______
Triangle Basics
Pitanje 9
9.
Classify this triangle by its angles and sides.
By its angles:
_______
By its sides:
_______
Pitanje 10
10.
Solve for x.
Find the measure of the indicated angle.
x=_______
m∠C=_______ °
m∠A=_______ °
Proving and Using Congruent Triangles
Pitanje 11
11.
For each pair of triangles, decide if they can be proven congruent using SSS, SAS, ASA, AAS, or HL.
If not possible, write “Not enough information.”
_______
If possible complete this congruency statement. If not write n/a in the blank.
△BCD ≅△_______
Pitanje 12
12.
For each pair of triangles, decide if they can be proven congruent using SSS, SAS, ASA, AAS, or HL.
_______
Complete this congruency statement.
△TUV≅△_______
Use the diagram to answer these questions:
The side TU=_______ (Use the side's label)
Pitanje 13
13.
For this pair of triangles, decide if they can be proven congruent using SSS, SAS, ASA, AAS, or HL.