Transformations: Master the Art of Shape Shifting

Question 1

How do you move a shape 5 units to the right?

Accepted Answer

Translate (5, 0)

Answer

Translate (0, 5)

Answer

Rotate 90 degrees clockwise

Answer

Reflect across the y-axis

Question 2

A square is translated 3 units to the left and 2 units up. What are the new coordinates of the vertex that was originally at (2, 5)?

Accepted Answer

(-1, 7)

Answer

(5, 7)

Answer

(-1, 3)

Answer

(5, 3)

Question 3

What is the result of reflecting a triangle across the y-axis?

Accepted Answer

A congruent triangle

Answer

A similar but not congruent triangle

Answer

An image that is not a triangle

Answer

The same triangle but in a different position

Question 4

Which transformations can be used to create a tessellation?

Accepted Answer

Translation or rotation

Answer

Translation only

Answer

Rotation only

Answer

Reflection only

Question 5

How many lines of symmetry does an equilateral triangle have?

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 6

A translation moves a shape:

Accepted Answer

In a straight line without changing its size or shape

Answer

Around a fixed point without changing its size or shape

Answer

Over a line of symmetry without changing its size or shape

Answer

To a different size and shape

Question 7

Which property is NOT true for a reflection?

Accepted Answer

The image is always larger than the original shape

Answer

The image is the same size as the original shape

Answer

The image is the same shape as the original shape

Answer

The image is a mirror image of the original shape centred on a line

Question 8

Which transformation is used to make symmetrical patterns?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Answer

Enlargement

Question 9

Which transformation involves moving a shape parallel to one of the axes without changing its size or shape?

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Question 10

Which of the following is NOT a line of symmetry for a rectangle?

Accepted Answer

Diagonal line from one corner to the opposite corner

Answer

Horizontal line through the center

Answer

Vertical line through the center

Question 11

Which transformation will create a shape that is similar but not identical to the original shape?

Accepted Answer

Reflection about a line that is not a line of symmetry

Answer

Translation

Answer

Rotation

Question 12

A shape is reflected about the x-axis. How are the coordinates of the original shape and its image related?

Accepted Answer

The x-coordinates change sign and the y-coordinates remain the same.

Answer

The y-coordinates change sign and the x-coordinates remain the same.

Answer

Both the x-coordinates and y-coordinates change sign.

Question 13

Which type of transformation involves moving a shape up, down, left or right, without changing its size or shape?

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Answer

Dilation

Question 14

What is the central point around which a shape is turned during a rotation transformation called?

Accepted Answer

Centre

Answer

Origin

Answer

Vertex

Answer

Axis

Question 15

Which transformation involves flipping a shape over a straight line, creating a mirror image?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Answer

Dilation

Question 16

When translating a shape 4 units to the left, in which direction will the shape move?

Accepted Answer

Left

Answer

Right

Answer

Up

Answer

Down

Question 17

How many degrees does a shape rotate when it completes one full turn?

Accepted Answer

360

Answer

90

Answer

180

Answer

270

Question 18

Which of the following could be used as the line of reflection for a shape?

Accepted Answer

Any straight line

Answer

A horizontal line

Answer

A vertical line

Answer

A diagonal line

Question 19

Which transformation makes a shape larger or smaller while keeping the shape the same?

Accepted Answer

Dilation

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 20

Which transformation will create a mirror image of a shape?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Answer

Dilation

Question 21

Which of the following is NOT a type of geometric transformation?

Accepted Answer

Stretching

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 22

If a shape is translated 5 units to the right, what are the new coordinates of the point (2, 3)?

Accepted Answer

(7, 3)

Answer

(2, 8)

Answer

(5, 3)

Answer

(7, 8)

Question 23

If a shape is translated 3 units up and 2 units to the left, what is the translation vector?

Accepted Answer

(3, -2)

Answer

(-3, 2)

Answer

(2, -3)

Answer

(-2, 3)

Question 24

Which of the following transformations is **not** an isometry?

Accepted Answer

Dilation

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 25

Which transformation involves moving a shape up, down, left, or right without changing its size or shape?

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Question 26

What is the rule for translating a shape 5 units to the right?

Accepted Answer

(x + 5, y)

Answer

(x - 5, y)

Answer

(x, y + 5)

Answer

(x, y - 5)

Question 27

Which transformation involves turning a shape around a fixed point?

Accepted Answer

Rotation

Answer

Translation

Answer

Reflection

Question 28

Which transformation involves flipping a shape over a line?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Question 29

What is the result of a translation of 3 units to the right followed by a reflection over the y-axis?

Accepted Answer

Translation of 3 units to the right followed by a reflection over the y-axis

Answer

Translation of 3 units to the left

Answer

Reflection over the y-axis

Question 30

Which shape cannot be used to create a tessellation?

Accepted Answer

Circle

Answer

Triangle

Answer

Square

Question 31

A rectangle is translated 5 units to the right and 3 units up. What are the coordinates of a vertex if the original vertex was at (2, 4)?

Accepted Answer

(7, 7)

Answer

(2, 7)

Answer

(7, 4)

Answer

(2, 4)

Question 32

Which transformation flips a shape over a horizontal line?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Answer

Enlargement

Question 33

A triangle with vertices (2, 1), (4, 3), and (6, 1) is reflected over the y-axis. What are the coordinates of the new triangle?

Accepted Answer

(-2, 1), (-4, 3), (-6, 1)

Answer

(2, -1), (4, -3), (6, -1)

Answer

(-2, -1), (-4, -3), (-6, -1)

Answer

(2, 1), (4, 3), (6, 1)

Question 34

Which of the following is NOT a valid transformation?

Accepted Answer

Stretching

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 35

Which transformation moves a shape without changing its orientation?

Accepted Answer

Translation

Answer

Reflection

Answer

Rotation

Question 36

Which line is the reflection line for a shape reflected over the y-axis?

Accepted Answer

y = 0

Question 37

After a triangle is rotated 180 degrees clockwise around its vertex, how does it compare to the original?

Accepted Answer

Opposite orientation

Question 38

Which is NOT a property of a translation transformation?

Accepted Answer

Changes orientation

Answer

Preserves size

Question 39

Where is the line of reflection for the image of a rectangle reflected over y = 2?

Accepted Answer

y = -2

Question 40

What is the angle of rotation of a shape rotated 270 degrees counterclockwise around point (1, 3) in radians?

Accepted Answer

3π/2

Answer

π

Question 41

When you move an object from one place to another without changing its direction, you are performing a:

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Answer

Dilation

Question 42

What is the order of the vertices of a shape when it is rotated 90 degrees clockwise?

Accepted Answer

x, y', x', y

Answer

x', y', x, y

Answer

y', x', y, x

Answer

y, x, y', x'

Question 43

What transformation would you use to flip a shape over a diagonal line?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Answer

Dilation

Question 44

When a shape is translated 5 units to the right and 3 units up, what are the coordinates of its new position?

Accepted Answer

(x + 5, y + 3)

Answer

(x - 5, y - 3)

Answer

(x - 5, y + 3)

Answer

(x + 5, y - 3)

Question 45

What is the name of the transformation that makes a shape larger or smaller?

Accepted Answer

Dilation

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 46

What is the angle of rotation when a shape is flipped over?

Accepted Answer

180 degrees

Answer

30 degrees

Answer

45 degrees

Answer

90 degrees

Question 47

A quadrilateral has coordinates ABCD: A(2, 4), B(5, 4), C(5, 1), and D(2, 1). If the quadrilateral is translated 3 units to the right, what are the coordinates of its new position?

Accepted Answer

A'(5, 4), B'(8, 4), C'(8, 1), D'(5, 1)

Answer

A'(5, 7), B'(8, 7), C'(8, 4), D'(5, 4)

Answer

A'(8, 4), B'(11, 4), C'(11, 1), D'(8, 1)

Answer

A'(2, 4), B'(5, 4), C'(5, 1), D'(2, 1)

Question 48

A triangle is rotated 90 degrees counterclockwise about the origin. Which of the following transformations describes the new position of the triangle?

Accepted Answer

Rotation

Answer

Translation

Answer

Reflection

Answer

Enlargement

Question 49

Which of the following is a transformation that does NOT preserve the size and shape of a figure?

Accepted Answer

Shear

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 50

Which of the following is NOT a type of transformation in geometry?

Accepted Answer

Expansion

Answer

Translation

Answer

Rotation

Answer

Reflection