G OM TRY

The

University

of

the

State

of

New

York

REGENTS

HIGH

SCHOOL

EXAMINATION

GEOMETRY

Tuesday

January 23 2018 -9:15 a.m. to 12:15 p.m. only

student

Name:

/M

l

1

J

/JC

~~~~~~~~~~~~– -~~~~~~~~~~~~

School Name:

j_·_P }A

— -p

__________ _

The

possession

or

use

of

any

communications

device

is

strictly

prohibited when

taking

this examination.

f

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 for 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

ot

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~l311\1 38

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.

[

8]

1

n

the

diagram below, a sequence

of

rigid motions maps

BCD

onto

]KLM

y

f

mL

=

82°,

mLB

=

104°, and

mLL

=

121°,

the

measure

of

LMis

@s °

3) 104°

2)

82° 4) 121°

Geometry

–

Jan. 18

[2]

Use this

space

for

computations.

2

Parallelogram

H ND

is

drawn below with diagonals

HN

and

D

intersecting at

S

D

Which statement

is

always true?

I)

HN

=

D

(3)

L HS

=

L NS

@As

D

4)

LHDS

°

LNDS

3 The graph below shows two congruent triangles,

ABC

and

A B C .

y

x

Which rigid motion would map

Li BC

onto

LiA B C ?

(

1)

a rotation

of

90 degrees counterclockwise about

the

origin

2)

a translation

of

three units to

the

left and three units up

~

rotation

of

180 degrees about

the

origin

u Y

a reflection over

the

line

y

=

x

Geometry-Jan.

18

[3]

se

this

space

for computations

[OVER]

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