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WorksheetsFinal Exam Review Q1 Math 2 Honors
Total questions: 180
Worksheet time: 9hrs 10mins

Identify the angles of rotation that maps the image of the regular polygon to itself.
multiples of 72°
multiples of 180°
multiples of 144°
multiples of 45°


A transformation that does not change the size or shape of a pre-image (pre-image and image are congruent) is called
isometry
reflections
rotations
dilation

Reflect over the line y = x
State a sequence of rigid motions that would map Quad QRST onto Quad PLKJ.
A reflection over the x-axis followed by a reflection over the y-axis
A rotation 180 degrees followed by a translation 2 units to the right
A reflection over the y-axis followed by a translation 7 units down
A reflection over the x-axis followed by a translation 6 units to the right and 3 units down
If the red triangle is rotated 180 degrees, then reflected over y=2 what is the final image?
Green Triangle
Blue Triangle
Orange Triangle
Red Triangle
A reflection over the x- and y-axes is the same as a ____________ of ______.
Rotation of 180 Degrees
Rotation of 90 Degrees
Reflection over the x-axis
Reflection over the y-axis
What is the transformation from Triangle ABC to Triangle A''B''C''?
Reflection x-axis, then rotation of 180 Degrees
Reflection over y-axis, then rotation of 90 Degrees
Rotation of 90 Degrees, then reflection over x-axis
Rotation of 180 Degrees, then reflection over y-axis
Point A (4, -2) is reflected over the line y = x, rotated 270 degrees CCW and reflected over the y-axis. What is A'''?
Point A''' is (4, -2)
Point A''' is (4, 2)
Point A''' is (-2, 4)
Point A''' is (-4, 2)
Describe the transformation.
translation by (x - 1, y + 6)
reflection across x = -2
translation by (x + 6, y - 1)
reflection across y = -2
Determine how to translate triangle ABC to triangle A'B'C'.
(x + 2, y - 9)
(x - 2, y + 9)
(x - 9, y + 2)
(x + 9, y - 2)
If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?
(-5, 5)
(-3, 5)
(-5, 3)
(-3, 3)
A nonagon is a nine-sided polygon. If a regular nonagon was rotated about its center point, which angle of rotation would not map the figure onto itself?
120°
80°
60°
40°
(x, y) ----> (x + 2, y - 3)
translation up 2, left 3
translation right 2, up 3
translation right 2, down 3
translation left 3, right 2
Which series of transformations were performed in the figure?
Translation 5 units down, reflection over the y-axis
Reflection over the x-axis, translation 6 units right
Rotation 90o clockwise, reflection over the x-axis
Rotation 180o clockwise, reflection over the y-axis
What are the final coordinates of B after a reflection over the x-axis and a translation <2 , 2>?
(3, 1)
(-3, -1)
(-1, -3)
(1, 3)
What is the image of B(2,-3) after the translation (x,y)→ (x−2,y+4)?
(0,1)
(4,-7)
(4,-12)
(1,1)
Point K has coordinates of (3, -4). What the coordinates of K' after being reflected across the y-axis?
(-4,3)
(-3,-4)
(-4,-3)
(3,4)
What are the coordinates of B' if Line Segment AB is reflected over the line y=1?
(-2,-2)
(2,-3)
(2,-1)
(-2,-4)
Find the coordinates of B' if Triangle ABC with coordinates A(1, -1), B(4, -3), C(3, -5) is rotated 270 degrees clockwise about the origin.
(4,3)
(3,4)
(-4,-3)
(3,-4)
Given the vertex A(-2, 5), what are the coordinates of A' after the vertex has been
(a) rotated 270 degrees counterclockwise, and
(b) reflected about the y-axis?
A'(-5, 2)
A'(-5, -2)
A'(2, -5)
A'(-2, -5)
∆CAT contains the points: C(4, 2) A(5, 1) T(3,7). If the triangle is reflected across the line y= -x, what will C' be?
C'(-4, 2)
C'(4, -2)
C'(2, 4)
C'(-2, -4)
What is going to be the coordinate of point Q?, if you rotate 90º clockwise about (-1,-2)
Q' (-3, -5)
Q' (3, -5)
Q' (-5, 3)
Q' (-2, -4)
What is going to be the coordinate of point H?, if you rotate 180º about (-1,-1)
H' (1, -5)
H' (-5, 2)
H' (0, -2)
H' (0, -5)
What is going to be the coordinate of point P?, if you rotate 90º counterclockwise about (-2,-1).
P' (1, -2)
P' (-1, -3)
P' (1, 3)
P' (-3, -2)
What are the coordinates of the image of the quadrilateral EIQX? If you rotate 90º clockwise around point (1, -2)
I' (1, 2); E' (0, 2); Q' (-1, -3); X' (-2, -1)
I' (1, -2); E' (0, -2); Q' (1, -3); X' (-2, 1)
I' (1, 3); E' (1, 2); Q' (-1, 3); X' (2, -1)
I' (1, 3); E' (0, 3); Q' (-1, -2); X' (-2, 0)
Rotate 90º counterclockwise point A (4, 1) around point (-1, 3).
A' (-1, -8)
A' (1, 8)
A' (2, -8)
A' (-2, 8)
∡B≅∡G
≅ theorem
≅ theorem
≅ theorem
theorem
Not Congruent
AC ≅ DF ; HL
AC≅DF ; SAS
<F = ___
What is #4 Reason?
Alternate Interior Angles
Vertical Angles
Reflexive Property
Angle Bisector
What is #3 Reason?
Alternate Exterior Angles
Alternate Interior Angles
Vertical Angles
Angle Bisector
What is #5 Statement?
∠QPR ≌ ∠STR
∠PQR ≌ ∠STR
∠QRP ≌ ∠TSR
∠QRP ≌ ∠SRT
What value of x will make m parallel to n?
113
166
19
133
What is the measure of angle a?
36o
56o
63o
117o
Find the indicated angle measure. (What is ?)
51°
37°
167°
41°
If the m∠7 = 115°, find the measure of ∠2.
115°
65°
180°
Cannot be determined
A
B
C
D
Find the measure of angle A
A
B
C
D
A
B
C
D
Find m∠B.
150°
67°
54°
57°
Find.
m∠V.52°
55°
90°
45°
Find
m∠RHG.128°
80°
105°
124°
What pair of angles are vertical angles?
∠r and ∠s
∠m and ∠n
∠p and ∠q
∠q and ∠r
Which pair of angles are consecutive interior angles?
∠1 and ∠7
∠3 and ∠5
∠5 and ∠4
∠8 and ∠1
Which pair of angles are alternate interior angles?
∠p and ∠q
∠q and ∠o
∠t and ∠m
∠n and ∠o
What type of angle pair is ∠1 and ∠3?
Alternate interior angles
Linear pair
Corresponding angles
Vertical angles
Name the corresponding angle to ∠4 .
∠8
∠6
∠2
∠5
Name the relationship.
Alternate Exterior
Vertical
Alternate Interior
Corresponding
Find x.
x = 45
x = 30
x = 20
x = 25
Solve for x. Then find the measure of the missing angle.
x = 18; 60°
x = 18; 120°
x = 120, 60°
x = 24, 120°
Find the vertex of
y = x2 + 4x + 1
(-2, -3)
y = 4x2 + 4x + 4
Use the equation in the picture!
(-0.5, 3)
y = x2 - 6
do to the graph?
y = x2 + 15
do to the graph?
y=-3x2-7x+8
Identify the 'b' value: y=16x2−8x−24
16
−8
8
−24
Identify the 'a' value: y=16x2−8x−24
16
8
−8
−24
f(x) = x2- 8x + 15.
(0,2)
(0,-2)
(0,1)
(0,-1)
If the quadratic parent function, f(x)=x2, becomes g(x)= -3x2, what transformation(s) ocurred?
shift left 3 units
reflect across x-axis and vertical stretch by 3
shift down 3 units and vertical compression by 1/3
vertical compression by 3
Which equation matches the graph shown here?
y = 2(x - 4)2 + 5
y = -2(x - 4)2 + 5
y = 2(x + 4)2 + 5
y = -2(x + 4)2 + 5
Which equation has a vertex at (7, -6)?
f(x) = -2(x - 7)2 - 6
f(x) = -7(x + 7)2 + 6
f(x) = 3(x - 7)2 + 6
f(x) = 0.5(x + 7)2 - 6
Solutions to quadratic equations are called...
Zeros, Roots
Parabolas
Vertexes
Min & Max
The Standard Form of a quadratic equation...
y = ax2 + bx + c
y = a(x - h)2 + k
y = mx2 + b
y - y1 = m(x - x1)
What is the y-intercept of the graph shown above?
all real numbers
(0,6)
(0,2)
(0,-6)
f(x) = 2(x - 5)2 + 12
f(x) = 2(x - 5)2 + 12
Which of these shows a parent function of a quadratic equation moved 1 unit down?
f(x)=(x-1)2
f(x)=(x+1)2
f(x)=1x2
f(x)=x2-1
Which of these shows a parent function of a quadratic equation moved 5 units to the right?
f(x)=(x-5)2
f(x)=(x+5)2
f(x)=5x2
f(x)=x2+5
Which of these shows a parent function of a quadratic equation vertically stretched by 2?
f(x)=(x+2)2
f(x)=x2+2
f(x)=2x2
f(x)=(x2)2
What is the vertex form of a quadratic function?
f(x) = 2a(x-h)2 + k
f(x) = a(x-h)2 + k
f(x) = (x+h)2 + k
f(x) = a(x-h) - k
Given f(x) = (x + 6)² - 2 , how did we transform from the parent function?
Horizontal shift left 6, vertical shift up 2
Horizontal shift left 6, vertical shift down 2
Horizontal shift right 6, vertical shift down 2
Horizontal shift right 6, vertical shift up 2
Given f(x)=41x2 how did we transform from the parent function?
Vertical compression (wider)
Vertical stretch (narrower)
Vertical compression (wider) and reflection over x-axis
Vertical stretch (narrower) and reflection over x-axis
Describe the transformation below: −(x+3)2+6
reflect over the x-axis
reflect over the x-axis, left: 3, up: 6
stretch, left: 3, down: 6
left: 3, down: 6
Identify the a, h, and k term from the following equation: (x+3)2+2
a=-1, h=3, k=2
a=3, h=3, k=3
a=1, h=-3, k=2
a=1, h=-3, k=-2
Identify the a, h, and k terms in the following equation: 2(x+4)2−1
a=2, h=-4, k=-1
a=-2, h=4, k=1
a=2, h=4, k=1
a=-2, h=-4, k=1
Determine the vertex from the following equation: −3(x−4)2+1
Vertex: (4,1)
Vertex: (-4, -1)
Vertex: (4, -1)
Vertex: (-4, 1)
