GEOMETRY
The University of the State of New York
REGENTS HIGH SCHOOL EXAMINATION.
GEOMETRY
Wednesday, January 24, 2024 - 9:15 a.m. to 12:15 p.m., only
Student Name: ;v'J(• ); Go I
School ~_/17~r_.~ _ _ _ __
Name:_3,_'JVJ_A_____
The possession or use of any communications device is strictly prohibited when
taking this examination. If you have or use any communications device, no matter how
briefly, your examination will be invalidated and no score will be calculated for you.
Print your name and the name of your school on the lines above.
A separate answer sheet for Part I has been provided to you. Follow the instructions from the
proctor for completing the student information on your answer sheet.
This examination has four parts, with a total of 35 questions. You must answer all questions
in this examination. Record your answers to the Part I multiple-choice questions on the separate
answer sheet. Write your answers to the questions in Parts II, III, and IV directly in this booklet.
All work should be written in pen, except graphs and drawings, which should be done in
pencil. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams,
graphs, charts, etc. Utilize the information provided for each question to determine your answer.
Note that diagrams are not necessarily drawn to scale.
The formulas that you may need to answer some questions in this examination are found at the
end of the examination. This sheet is perforated so you may remove it from this booklet.
Scrap paper is not permitted for any part of this examination, but you may use the blank spaces
in this booklet as scrap paper. A perforated sheet of scrap graph paper is provided at the end of this
booklet for any question for which graphing may be helpful but is not required. You may remove
this sheet from this booklet. Any work done on this sheet of scrap graph paper will not be scored.
When you have completed the examination, you must sign the statement printed at the end of
the answer sheet, indicating that you had no unlawful knowledge of the questions or answers
prior to the examination and that you have neither given nor received assistance in answering any of
the questions during the examination. Your answer sheet cannot be accepted if you fail to sign this
declaration.
Notice ...
A graphing calculator, a straightedge (ruler), and a compass must be available for you
to use while taking this examination.
DO NOT OPEN THIS EXAMINATION BOOKLET UNTIL THE SIGNAL IS GIVEN.
A~l3V\1038
, Part I
Answer all 24 questions in this part. Each correct answer will receive 2 credits. No partial
credit will be allowed. Utilize the information provided for each question to determine your
answer. Note that diagrams are not necessarily drawn to scale. For each statement or question,
choose the word or expression that, of those given, best completes the statement or answers
the question. Record your answers on your separate answer sheet. [48]
Use this space for
I Which expression is equal to sin 30°? computations.
(1) tan 30° @cos 60°
(2) sin 60° (4) cos 30°
2 In the diagram of 6.SRA below, KP is drawn such that LSKP::::: LSRA.
s
~·
/0
- 1 .,,,,.--
x 60
b
A fY Jlj
~~ 7.5
R
If SK = 10, SP = 8, and PA = 6, what is the length of KR, to the nearest
tenth?
~4.8 (3) 8.0
\£W7.5 (4) 13.3
Geometry - Jan. '24 [2]
, Use this space for
3 A rectangle is graphed on the set of axes below. computations.
y
x
A reflection over which line would carry the rectangle onto itself?
@y = 2_ (3) y= ~x- 3
(2) y = 10
4 The surface of the roof of a house is modeled by two congruent
rectangles with dimensions 40 feet by 16 feet, as shown below.
40
Roofing shingles are sold in bundles. Each bundle covers 33 ~ square
feet. What is the minimum number of bundles that must be purchased
to completely cover both rectangular sides of the roof?
(1) 20 Wf;39
(2) 2 (4) 4
Geometry- Jan. '24 [3] [OVER]
The University of the State of New York
REGENTS HIGH SCHOOL EXAMINATION.
GEOMETRY
Wednesday, January 24, 2024 - 9:15 a.m. to 12:15 p.m., only
Student Name: ;v'J(• ); Go I
School ~_/17~r_.~ _ _ _ __
Name:_3,_'JVJ_A_____
The possession or use of any communications device is strictly prohibited when
taking this examination. If you have or use any communications device, no matter how
briefly, your examination will be invalidated and no score will be calculated for you.
Print your name and the name of your school on the lines above.
A separate answer sheet for Part I has been provided to you. Follow the instructions from the
proctor for completing the student information on your answer sheet.
This examination has four parts, with a total of 35 questions. You must answer all questions
in this examination. Record your answers to the Part I multiple-choice questions on the separate
answer sheet. Write your answers to the questions in Parts II, III, and IV directly in this booklet.
All work should be written in pen, except graphs and drawings, which should be done in
pencil. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams,
graphs, charts, etc. Utilize the information provided for each question to determine your answer.
Note that diagrams are not necessarily drawn to scale.
The formulas that you may need to answer some questions in this examination are found at the
end of the examination. This sheet is perforated so you may remove it from this booklet.
Scrap paper is not permitted for any part of this examination, but you may use the blank spaces
in this booklet as scrap paper. A perforated sheet of scrap graph paper is provided at the end of this
booklet for any question for which graphing may be helpful but is not required. You may remove
this sheet from this booklet. Any work done on this sheet of scrap graph paper will not be scored.
When you have completed the examination, you must sign the statement printed at the end of
the answer sheet, indicating that you had no unlawful knowledge of the questions or answers
prior to the examination and that you have neither given nor received assistance in answering any of
the questions during the examination. Your answer sheet cannot be accepted if you fail to sign this
declaration.
Notice ...
A graphing calculator, a straightedge (ruler), and a compass must be available for you
to use while taking this examination.
DO NOT OPEN THIS EXAMINATION BOOKLET UNTIL THE SIGNAL IS GIVEN.
A~l3V\1038
, Part I
Answer all 24 questions in this part. Each correct answer will receive 2 credits. No partial
credit will be allowed. Utilize the information provided for each question to determine your
answer. Note that diagrams are not necessarily drawn to scale. For each statement or question,
choose the word or expression that, of those given, best completes the statement or answers
the question. Record your answers on your separate answer sheet. [48]
Use this space for
I Which expression is equal to sin 30°? computations.
(1) tan 30° @cos 60°
(2) sin 60° (4) cos 30°
2 In the diagram of 6.SRA below, KP is drawn such that LSKP::::: LSRA.
s
~·
/0
- 1 .,,,,.--
x 60
b
A fY Jlj
~~ 7.5
R
If SK = 10, SP = 8, and PA = 6, what is the length of KR, to the nearest
tenth?
~4.8 (3) 8.0
\£W7.5 (4) 13.3
Geometry - Jan. '24 [2]
, Use this space for
3 A rectangle is graphed on the set of axes below. computations.
y
x
A reflection over which line would carry the rectangle onto itself?
@y = 2_ (3) y= ~x- 3
(2) y = 10
4 The surface of the roof of a house is modeled by two congruent
rectangles with dimensions 40 feet by 16 feet, as shown below.
40
Roofing shingles are sold in bundles. Each bundle covers 33 ~ square
feet. What is the minimum number of bundles that must be purchased
to completely cover both rectangular sides of the roof?
(1) 20 Wf;39
(2) 2 (4) 4
Geometry- Jan. '24 [3] [OVER]
