Unit 1 End of Unit Review

Unit 1 End of Unit Review

Transformations

• Translation

• Reflection

• Rotation

Translation

• "directed line segment"

• also called "vector"

• all points move the same distance in the same direction

Multiple Choice

In a translation, the preimage and image are ___________.

• congruent

• similar

• different

• none of the above

Reflection

• must refer to the line of reflection

• preserves distance and angle measure

• does not preserve orientation (clockwise/counterclockwise)

• any point ON the line of reflection will not move.

• image and preimage are the same distance from the line of reflection

• reflection line is the perpendicular bisector of the segment connecting each preimage and image

Multiple Choice

True or False: When a point is reflected across a line of symmetry, the line of reflection is perpendicular to the segment connecting preimage to image.

• True

• False

Multiple Choice

Which graph is not a reflection?

• a

• b

• c

• d

Multiple Choice

What line is this figure reflected over?

• x-axis

• y = -1

• y-axis

• x = -1

Multiple Choice

What is a reflection?

• When you turn an object around a point.

• When you slide an object form one place to another.

• When you flip or mirror an object across a line.

• When you resize an object.

Rotation

• Center point that does not move in a rotation

• angle measure tells how far the object is rotated about the center point

• Direction tells whether the turn is clockwise or counterclockwise

• all images will be located on the same circle with same center (center of the rotation)

• rotations preserve distance, angle measure, and orientation

• image and preimage are congruent

Multiple Choice

If you rotate Pentagon ABCDE, where would point A end up after a rotation 72° counterclockwise?

• Point B

• Point C

• Point D

• Point E

Multiple Choice

Pentagon ABCDE has a center R. Where will point A end up after a rotation of 72° clockwise?

• Point B

• Point C

• Point D

• Point E

Multiple Choice

Determine the degrees of rotation from each petal.

• 20°

• 72°

• 45°

• 60°

Multiple Choice

What counterclockwise rotation will result in the same image as a 90° clockwise rotation?

• 60°
• 90°
• 180°
• 270°

Multiple Choice

How far has the figure been rotated?

• 45°

• 90°

• 180°

• 360°

Multiple Choice

What type of transformation changed Shape A to Shape B?

• slide
• flip
• turn
• jump

Multiple Choice

Does the image show a rotation? If so, what is the angle of rotation?

• 90° counterclockwise

• 180° counterclockwise

• 270° counterclockwise

• Not a rotation

Reflection Symmetry

• Lines of reflection must go through the center of the figure

• All points on one side will line up with their corresponding point on the other side of the line

• Regular polygons will have the same number of lines of reflections it has sides

• When finding lines of reflections of figures, fill and shading will matter.

Multiple Choice

How many lines of symmetry does the picture have? 

• 0 lines of symmetry
• 1 line of symmetry
• 2 lines of symmetry
• 4 lines of symmetry

Multiple Choice

How many lines of symmetry are there?

• 1
• 2
• 3
• 4

Multiple Choice

How many lines of symmetry does this trapezoid have?

• 0
• 1
• 2
• 3

Multiple Choice

How many lines of symmetry does the picture have? 

• 0 lines of symmetry
• 1 line of symmetry
• 2 lines of symmetry
• 3 lines of symmetry

Multiple Choice

How many lines of symmetry does this shape have?

• 0
• 1
• 2
• 4

Multiple Choice

How many lines of symmetry does this shape have?

• 2
• 4
• 6
• 8

Multiple Choice

How many lines of symmetry does the butterfly have?

• 1

• 2

• 3

• 4

Rotation Symmetry

• Center of rotation will be in the center of the figure

• One rotation will take the figure onto itself in the smallest angle measure

• Angles of rotational symmetry must be between 0° and 360°

• 360° is NOT an angle rotation symmetry.

• To find the angles of rotation symmetry in a regular polygon, divide 360° by the number of angles (or sides).

• The number of rotations possible will be one less than the number of angles.

Multiple Choice

What is the center of rotation need to rotate the triangle onto itself?

• F
• G
• E
• D

Multiple Choice

Identify the smallest angle of rotation that maps the image to itself.

• 72°
• 180°
• 144°
• 45°

Multiple Choice

Which of the following letters does not have a line symmetry, but has a rotational symmetry:

• H
• I
• Z
• X

Multiple Choice

Identify the smallest angle of rotation that maps the image to itself.

• 60°

• None

• 51.4°

• 45°

Multiple Choice

What is one of the angles of rotation needed to rotate this octagon onto itself?

• 60

• 135

• 120

• 240

Multiple Choice

What are the angles of rotation for an octagon?

• multiples of 45
• multiples of 51.4
• multiples of 60
• multiples of 72

Multiple Choice

What are the angles of rotation for a square?

• multiples of 30
• multiples of 45
• multiples of 90
• multiples of 180

Multiple Choice

A turn is also called a ___________.

• Translation

• Reflection

• Rotation

• Transformation

Thank you for your attention today!

Your summative is tomorrow!

You'll be great!