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Interactive video lesson plan for: january 2014 Geometry Regents pt I 1-5

Activity overview:

The University of the State of New York
REGENTS HIGH SCHOOL EXAMINATION
GEOMETRY
Wednesday, January 29, 2014 — 9:15 a.m. to 12:15 p.m., only
Student our 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 38 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.
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.
GEOMETRY
DO NOT OPEN THIS EXAMINATION BOOKLET UNTIL THE SIGNAL IS GIVEN.
Notice...
A graphing calculator, a straightedge (ruler), and a compass must be available for you to use while
taking this examination.
GEOMETRY
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.
1 The midpoint of AB
___
is M(4,2). If the coordinates of A are (6,4),
what are the coordinates of B?
(1) (1,3) (3) (5,1)
(2) (2,8) (4) (14,0)
2 Which diagram shows the construction of a 45° angle?
(1)
(2)
(3)
(4)
Use this space for
computations.
Part I
Answer all 28 questions in this part. Each correct answer will receive 2 credits. 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. [56]
Geometry -- January '14 [2]
Use this space for
3 What are the coordinates of the center and the length of the radius computations.
of the circle whose equation is (x 1)2 (y 5)2 16?
(1) (1,5) and 16 (3) (1,5) and 4
(2) (1,5) and 16 (4) (1,5) and 4
4 If distinct planes R and S are both perpendicular to line ℓ, which
statement must always be true?
(1) Plane R is parallel to plane S.
(2) Plane R is perpendicular to plane S.
(3) Planes R and S and line ℓ are all parallel.
(4) The intersection of planes R and S is perpendicular to line ℓ.
5 If ABC and its image, ABC, are graphed on a set of axes,
ABC ABC under each transformation except
(1) D2 (3) ry x
(2) R90° (4) T(2,3)
6 A right rectangular prism is shown in the diagram below.
Which pair of edges are not coplanar?
(1) BF
___
and CG
___
(3) EF
___
and CD
___
(2) BF
___
and DH
___
(4) EF
___
and BC
___
A
Geometry -- January '14 [3] [OVER]
Use this space for
7 How many points in the coordinate plane are 3 units from the computations.
origin and also equidistant from both the x-axis and the y-axis?

8 As shown below, the medians of ABC intersect at D.
If the length of BE
___
is 12, what is the length of BD

9 The solution of the system of equations y x2 2 and y x is
(1) (1,1) and (2,2) (3) (1,1) and (2,2)
(2) (2,2) and (1,1) (4) (2,2) and (1,1)
10 Line ℓ passes through the point (5,3) and is parallel to line k whose
equation is 5x y 6. An equation of line ℓ is
(1) y
1 __
5 x 2 (3) y
1 __
5 x 2
(2) y 5x 28 (4) y 5x 28

Geometry -- January '14 [4]
Use this space for
11 In the diagram below of quadrilateral ABCD, E and F are points computations.
on AB
___
and CD
___
, respectively, BE
___
DF
___
, and AE
___
CF
___
.
Which conclusion can be proven?
(1) ED
___
FB
___
(3) ∠A ∠C
(2) AB
___
CD
___
(4) ∠AED ∠CFB
12 In the diagram below, four pairs of triangles are shown.
Congruent corresponding parts are labeled in each pair.
Using only the information given in the diagrams, which pair of
triangles can not be proven congruent?

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