Name: _______________________________
8th Unit 6 REVIEW: TRANSFORMATIONS
8.10A
1. The triangle below is to be reflected across the yaxis.
Date: _____________________________
8.3C
4. Triangles ABC and A′B′C′ are shown on the
coordinate plane. Which algebraic representation
shows how to find the coordinates of triangle A′B′C′?
In which quadrant or quadrants will the image be
located?
𝟏
𝟏
F (𝟑 𝒙, 𝟑 𝒚)→ (x, y)
G (𝟑𝒙, 𝟑𝒚)→ (x, y)
H (x, y) → (𝟑𝒙, 𝟑𝒚)
𝟏
𝟏
J (x, y) → (𝟑 𝒙, 𝟑 𝒚)
8.10C
2. What does the algebraic representation (x, y) →
(x, - y) represent?
F Each point of a figure will be rotated 90°
clockwise.
G Each point of a figure will reflected across the xaxis.
H Each point of a figure will be reflected across the
y-axis.
J Each point of a figure will be rotated 90°
counterclockwise.
8.3C
3. A square has a perimeter of 120 centimeters.
The square is dilated to create a square with a side
length of 40 centimeters. Which algebraic
representation is correct for the dilation?
A (x, y) → (3x, 3y)
𝟒
𝟒
B (x , y) → (𝟑 𝒙, 𝟑 𝒚)
𝟑
𝟑
C (x , y) → (𝟒 𝒙, 𝟒 𝒚)
D (x, y) → (1.75x, 1.75y)
8.10B
5. Which of the following statements is true about a
triangle that has been rotated 180° counter
clockwise?
A The image will have the same orientation as the
pre-image.
B The image will be smaller than the pre-image.
C The image will be larger than the pre-image.
D The image will be congruent to the pre-image.
8.10C
6. Quadrilateral ABCD has vertices A (3, 2), B (5, 7)
C (8, - 2) and D (6, - 5). Quadrilateral ABCD will be
translated to create quadrilateral A′B′C′D′. If A is
translated to A′ ( -3, 7), write an algebraic rule that
describes the translation?
(x, y) → (x
, y
)
8.10B
8.10A
7. The triangle below is to rotated 180° clockwise.
10. The triangle below is to be translated using the
rule (x, y) → (x + 5, y – 2)
Fill in the blanks:
A The image will be __________ to the preimage.
B The image will be located entirely in Quadrant
_________.
C The image _________(will or will not) have the
same orientation as the preimage.
D The image of vertex C will be C’(____,_____)
In which quadrant or quadrants will the image be
located?
F I only
G I and II only
H III only
J IV only
8.10C
8. Triangle ABC with coordinates A(3, 6), B( -4, 2)
and C(2, -4 ) is to be reflected across the x-axis
and then translated 2 units down. What will be
the coordinates of A′′ ?
8.3C
11. Which of the following represents a dilation that
is a reduction with a scale factor larger than 0.6?
A (x, y) → (3x, 3y)
B (x, y) → (0.3x, 0.3y)
C (x, y) → (0.9x, 0.9y)
D (x, y) → (0.2x, 0.2y)
8.5I
12. What is the equation for the values in the
table?
8.8D
x
–4
–2
0
2
9. Using the diagram above, find the measures of
the following:
y
3
4
5
6
x = _______
m B = _______
m C_______
8.10B
8.10C
13. Megan started with ∆RST and then performed
four transformations. After which transformation
is the figure NOT congruent to ∆RST?
15. If (5, 4) → (4, - 5) represents a counterclockwise
rotation of the point on a coordinate plane, how
many degrees is the rotation?
Transformation
A 90°
Description
𝟑
B 180°
1
Dilation by a scale factor of
2
90° rotation about the origin
C 270°
3
Translation up 6 units and
right 2 unit
D 360°
4
Reflection over the y-axis
𝟓
8.10C
8.8D
14. Write an algebraic representation that
describes the transformation from trapezoid
ABCD to trapezoid A′B′C′D′?
16. In the sketch below, two parallel lines are cut by
a transversal.
Trapezoid ABCD
Trapezoid A′B′C′D′
A(0, 3)
A′(–1, 0)
B(–5, 3)
B′(–6, 0)
C(–1, 6)
C′(–2, 3)
D(–4, 6)
D′(–5, 3)
(x, y) → (x
,y
)
If m1 = (2x)° and m2 = (8x - 20)°, what is the
measure of 2?
8.10C
8.7D
17. Which of the following statements is true about
the figures on the grid below?
19. Look at point A on the grid below. Point B is 8
units left and 5 units up from point A.
To the nearest tenth of a unit, what is the distance
between A and B?
A The transformation used was a reflection. The
figures are congruent.
B The transformation used was a translation. The
figures are congruent.
C The transformation used was a rotation. The
figures are congruent.
D The transformation used was a dilation. The
figures are not congruent.
8.3C
18. ∆RST is shown on the coordinate plane below.
Find the coordinates of the vertices of the image of
∆RST reflected across the x-axis.
A
B
C
D
(2, −3), (4, −6), (5, −1)
(2, 3), (4, 6), (5, 1)
(0, 3), (–2, 6), (–3, 1)
(–2, −3), (–4, −6), (–5, −1)
8.5I
20. What is the slope of the equation of a line that
crosses the y-axis at the origin, and for every vertical
increase of three units, it increases horizontally by
ten units?