august-2016-geometry-1-to-5-nys-regents-common-core-solutions-worked-out-steps

# Interactive video lesson plan for: august 2016 geometry #1 to 5 NYS regents common core solutions worked out steps

#### Activity overview:

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In the diagram below, lines ℓ, m, n, and p intersect line r.
Which statement is true?
(1) ℓ || n (3) m || p
(2) ℓ || p (4) m || n
2 Which transformation would not always produce an image that
would be congruent to the original figure?
(1) translation (3) rotation
(2) dilation (4) reflection
3 If an equilateral triangle is continuously rotated around one of its
medians, which 3-dimensional object is generated?
(1) cone (3) prism
(2) pyramid (4) sphere
4 In the diagram below, m∠BDC 100°, m∠A 50°, and computations.
m∠DBC 30°.
Which statement is true?
(1) ABD is obtuse. (3) m∠ABD 80°
(2) ABC is isosceles. (4) ABD is scalene.
5 Which point shown in the graph below is the image of point P after
a counterclockwise rotation of 90° about the origin?
(1) A (3) C
(2) B (4) D
y
x
D
C
P
B
A
B
A C D
Geometry (Common Core) – Aug. ’16 [3] [OVER]
Geometry (Common Core) – Aug. ’16 [4]
6 In ABC, where ∠C is a right angle, . What is sin B?
(1) (3)
(2) (4)
___
AC and
___
BD is shown in the
diagram below.
Which information is not enough to prove ABCD is a parallelogram?
(1) AB
___
CD
___
and AB
___ || DC
___
(2) AB
___ CD
___ and BC
___
___
DA
(3) AB
___ CD
___ and BC
___
(4) AB
___ || DC
___
and BC
___
8 An equilateral triangle has sides of length 20. To the nearest tenth,
what is the height of the equilateral triangle?
(1) 10.0 (3) 17.3
(2) 11.5 (4) 23.1
5
21 A
B C
D
cos A = 21
5
21
2
2
5 21
5
Use this space for
computations.
9 Given: AEC, DEF, and
___
FE ⊥
___
CE
What is a correct sequence of similarity transformations that shows
AEC ~ DEF?
(1) a rotation of 180 degrees about point E followed by a horizontal
translation
(2) a counterclockwise rotation of 90 degrees about point E
followed by a horizontal translation
(3) a rotation of 180 degrees about point E followed by a dilation
with a scale factor of 2 centered at point E
(4) a counterclockwise rotation of 90 degrees about point E
followed by a dilation with a scale factor of 2 centered at point E
10 In the diagram of right triangle ABC, CD
___ intersects hypotenuse
AB
___
at D.
If AD 4 and DB 6, which length of
___
AC makes CD
___
⊥ AB
___
?
(1) (3)
(2) 2 10 (4) 4 2 2 6 2 15
D6 B
C
A 4
F
6
8 E
D
A
4
3

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