8th Unit 6REVIEW: TRANSFORMATIONS

8.10A
1. The triangle below is to be reflected across the y-axis.

In which quadrant or quadrants will the image be located? / 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′?

F → (x, y)
G → (x, y)
H (x, y) →
J (x, 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 x-axis.
H Each point of a figure will be reflected across the y-axis.
J Each point of a figure will be rotated 90° counterclockwise. / 8.10B
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.
8.3C
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)
B (x , y) (
C (x , y) (
D (x, y) (1.75x, 1.75y) / 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
7. The triangle below is to rotated 180° clockwise.

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’(____,_____) / 8.10A
10. The triangle below is to be translated using the rule (x, y) (x + 5, y – 2)

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)
8.8D
9. Using the diagram above, find the measures of the following:
x = ______
mB = ______
mC______ / 8.5I
12. What is the equation for the values in the table?
x / –4 / –2 / 0 / 2
y / 3 / 4 / 5 / 6
8.10B
13. Megan started with ∆RST and then performed four transformations. After which transformation is the figure NOT congruent to ∆RST?
Transformation / Description
1 / Dilation by a scale factor of
2 / 90° rotation about the origin
3 / Translation up 6 units and right 2 unit
4 / Reflection over the y-axis
/ 8.10C
15. If (5, 4) (4, - 5) represents a counterclockwise rotation of the point on a coordinate plane, how many degrees is the rotation?
A 90°
B 180°
C 270°
D 360°

8.10C
14. Write an algebraic representation that describes the transformation from trapezoid ABCD to trapezoid A′B′C′D′?

(x, y) → (x , y ) / 8.8D
16. In the sketch below, two parallel lines are cut by a transversal.

If m1 = (2x)° and m3 = (8x - 20)°, what is the measure of 2?
8.10C
17. Which of the following statements is true about the figures on the grid below?

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. / 8.7D
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?
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 (2, −3), (4, −6), (5, −1)
B(2, 3), (4, 6), (5, 1)
C (0, 3), (–2, 6), (–3, 1)
D (–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?