Free Printable Geometry Unit 2 Transformations Test

1.

A point in Quadrant II of the coordinate plane is reflected over the y-axis and translated right. Which quadrant contains the transformed point?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

2.

Triangle ABC with vertices A(6, 9), B(8, 5), and C(5, 2) is mapped onto triangle A'B'C' with vertices A'(−3, −2), B'(−1, −6), and C'(−4, −9). Which vector is used in the translation? A 〈9, 11〉 B 〈11, 9〉 C 〈-11, -9〉 D 〈-9, -11〉

a)

$<9,11>$

b)

$<11,9>$

c)

$<-11,-9>$

d)

$<-9,\ -11>$

3.

Which of the following statements is true about the given design?

a)

There are multiple lines of symmetry in the design.

b)

The design's angle of rotational symmetry is 90°

c)

The design's angle of rotational symmetry is 180°

d)

The design is symmetrical about a vertical line through its center.

4.

Quadrilateral WXYZ with vertices W(2, 5), X(4, 9), Y(9, 8), and Z(7, 3) is reflected across the line y = x. What are the coordinates of vertex Z'?

a)

( 5 , 2 )

b)

( 3 , 7 )

c)

( - 7, -3 )

d)

( - 3, 7 )

5.

Polygon KLMNP is translated using vector 〈−3, −5〉. What are the coordinates of the image of vertex K after this translation?

a)

$\left(\ 0,\ 0\ \right)$

b)

$\left(\ -\ 6\ ,\ -\ 10\ \right)\$

c)

$\left(\ -\ 6\ ,\ 0\ \right)\$

d)

$\left(\ -\ 3\ ,\ 5\ \right)\$

6.

Polygon KLMNP is reflected across the line x = −1. What are the coordinates of the image of vertex P after this reflection?

a)

$\left(\ -\ 4,\ -1\ \right)\$

b)

$\left(\ -\ 2\ ,\ -1\ \right)\$

c)

$\left(\ 2,\ -1\ \right)\$

d)

$\left(\ 2\ ,\ 4\ \right)\$

7.

Polygon KLMNP is rotated by 180° counterclockwise about the origin. What are the coordinates of the image of vertex L after this rotation?

a)

$\left(\ 7,\ 2\ \right)\$

b)

$\left(\ 7\ ,\ -\ 2\ \right)\$

c)

$\left(\ -\ 2\ ,\ -\ 7\ \right)$

d)

$\left(\ 2\ ,\ -7\ \right)$

8.

Which situation can be represented as a reflection?

a)

A skater glides along a frozen lake.

b)

A performer spins a plate on top of a stick.

c)

A chef flips a pancake over in a skillet

d)

A photocopier enlarges a diagram by 300%.

9.

Triangle PQR with vertices P(1,5), Q(6,7), and R(4,2)

is mapped onto triangle P′Q′R′

P′Q′R′ with vertices P′(3,−3), Q′(8,−1), and R′(6,−6). Which vector is used in the translation?

a)

⟨2,−8⟩

b)

⟨−2,8 ⟩

c)

⟨−8,2⟩

d)

⟨2,8⟩

10.

A sequence of transformations is described below:

A rotation about a point Q, a translation , a reflection over a line R, with another translation

Which of the following must be preserved under this sequence of transformations?

a)

segment lengths

b)

angle lengths

c)

both segment lengths and angle measures

d)

neither segment lengths or angles

11.

Which sequence of transformations maps triangle DEF to congruent triangle ABC

a)

Translate point E, 9 units left , then translate E , 4 units up.

b)

Rotate about point D, 90 degrees CW , then translate 3 units up

c)

Rotate triangle DEF about point F, 180 degrees.

d)

Rotate clockwise 90 degrees about point E, then translate up 10 units.

12.

Which sequence of transformations maps quadrilateral WXYZ to ABCD?

Sequence A

A reflection over the vertical line WX, then a 180° rotation about point W, and then a translation along the directed line segment WA

Sequence B

A translation over the directed line segment WA

, then a reflection over the horizontal line through point A

a)

Sequence B

b)

Sequence A

c)

Both sequence A & B

d)

Neither sequence A or B

13.

Determine the line of reflection that maps ABC to A'B'C'

a)

$x\ =\ 3\$

b)

$y\ =\ 2\$

c)

$y\ =\ -2$

d)

$x\ =\ 1$

14.

Determine the line of reflection that maps triangle AB to triangle A'B'C'.

a)

$y\ =\ -1\$

b)

$y\ =\ x$

c)

$x\ =\ -\ 1\$

d)

$x\ =\ -\ 3\$

15.

Which transformation is NOT a rigid motion (the size changes)?

a)

Rotation

b)

Reflection

c)

Dilation

d)

Translation

16.

Which transformation will map the right triangle onto itself?

a)

90 degree rotation

b)

180 degree rotation

c)

270 degree rotation

d)

none of the above choices

17.

How many lines of symmetry are there in this shape?

a)

$1$

b)

$4$

c)

$6$

d)

$8$

18.

Which transformation would NOT map the rectangle onto itself?

a)

a reflection over the x axis

b)

a reflection over the line x= 4

c)

a rotation of 180 degrees about the origin

d)

a rotation of 180 degrees about the point ( 4, 0 )

19.

If the regular pentagon is rotated clockwise about its center, what minimum number of degrees are needed in the rotation to carry the shape onto itself?

a)

$54\degree$

b)

$72\degree$

c)

$108\degree$

d)

$360\degree$

20.

Rotate the triangle ABC, 90 degrees about the point (2,1) . What are the new coordinates for C' ?

a)

$\left(\ 0\ ,\ -2\right)$

b)

$\left(\ 3,\ -1\ \right)\$

c)

$\left(\ 1,\ -3\ \right)\$

d)

$\left(\ -4\ ,\ 1\ \right)\$

Geometry Unit 2 Transformations Test

Total questions: 20

Worksheet time: 2hrs 40mins

Similar Resources on Wayground