Name ____________________________________________Geometry
Applications Take Home #1[62 points]
Part I
Answer all questions in this part. Each correct answer will
receive 2 credits. No partial credit will be allowed. For each
question, write on the separate answer sheet the number proceeding
the word or expression that best completes the statement or answers
the question. [36]
1.
2.
3
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
Part II
Answer all questions in this part. Each correct answer will
receive 2 credits. Clearly indicate the necessary steps, including
appropriate formula substitutions, diagrams, graphs, charts, etc.
For all questions in this part, a correct numerical answer with no
work shown will receive only 1 credit. [6]
19.
20. Write a statement that is logically equivalent to the
statement
“If it’s Saturday, then I sleep late.”
Identify the new statement as the converse, inverse, or
contrapositive of the original statement.
______________________________________________________________________________
Circle one: CONVERSE INVERSE CONTRAPOSITIVE
21.
Part III
Answer all questions in this part. Each correct answer will
receive 3 credits. Clearly indicate the necessary steps, including
appropriate formula substitutions, diagrams, graphs, charts, etc.
For all questions in this part, a correct numerical answer with no
work shown will receive only 1 credit. [6]
22. What is the value of x and y, in inches.
23.
Part IV
Part IV
Answer all questions in this part. Each correct answer will
receive 4 credits. Clearly indicate the necessary steps, including
appropriate formula substitutions, diagrams, graphs, charts, etc.
For all questions in this part, a correct numerical answer with no
work shown will receive only 1 credit. [8]
24.
25. In the accompanying diagram of right triangle RAT,
9.
3
9
3
Part V
Answer all questions in this part. Each correct answer will
receive 6 credits. Clearly indicate the necessary steps, including
appropriate formula substitutions, diagrams, graphs, charts, etc.
For all questions in this part, a correct numerical answer with no
work shown will receive only 1 credit. [6]
26.
a) Plot ∆ABC with A (2,5), B( -2, -2), and C(0,-5).
b) Graph the image of ∆ABC under a reflection in the y-axis.
Label the coordinates A’B’C’.
c) Graph the image of ∆A’B’C’ under T-2,4 . Label the
coordinates A”B”C”.
Original ry-axis T-2,4
A (____,____) A’(____,____) A” (____,____)
B (____,____) B’ (____,____) B” (____,____)
C (____,____) C’ (____,____) C” (____,____)
