Unit 6 transformations

Unit 6 Transformations

Math 8

Translations

Pre-image that slide

Multiple Choice

A translation __ every point of a figure the __ direction. Choose the words that would complete the statement.

• moves; same

• flips; same

• slides; opposite

Multiple Choice

x-coordinates that are positive move the shape?

• left

• right

• up

• down

Multiple Choice

y-coordinates that are negative move the shape?

• left

• right

• up

• down

Multiple Choice

Which of the following is the algebraic representation for translations:

• (x,-y)

• (y,-x)

• (x+n,y+n)

• (2x,2y)

Multiple Choice

What is the verbal description of the following rule (x+2, y-3)?

• left 3, up 2

• right, down

• right 2, down 3

• left, up

Multiple Choice

What is the rule for the following description: left 6, up 8

• (x+6,y-8)

• (x-6,y+8)

• (x+8,y-6)

• (x-8,y+6)

Multiple Choice

Mrs. Powell translated quadrilateral QRST to quadrilateral Q'R'S'T'. Vertex R was at (6,-3). If R' is now at (3,2). What did she have to do to get there?

• move 5 units down and 3 right

• move 6 units right and 3 down

• move 3 units right and 2 up

• move 3 units left and 5 up

Multiple Choice

Triangle PRS is transformed according to the rule (x,y)->(x+4,y-3) to create triangle P'R'S'. Which statement is true?

• The side lengths of triangle P'R'S' are twice the corresponding side lengths of triangle PRS.

• The angle measures of triangle P'R'S' are equal to the corresponding angle measures of triangle PRS.

• The side lengths of triangle P'R'S' are 4 units longer than the corresponding side lengths of triangle PRS.

• The angle measures of triangle P'R'S' are greater than the corresponding angle measures of triangle PRS.

Reflections

Flip the Pre-image

Multiple Choice

A reflection flips a figure over a __ of __. Choose the words that would complete the sentence?

• line; reflection

• line; flip

• line; mirror

• flip; mirror

Multiple Choice

Which of these is an algebraic representation of a reflection across the y-axis?

• (x,-y)

• (y,-x)

• (-x,-y)

• (-x,y)

Multiple Choice

After a reflection the pre-image and image has?

• similar side lengths and congruent angles

• similar angles and congruent side lengths

• congruent side lengths and angles

Multiple Choice

If an image is reflected over the y-axis then which statement is true

• The x-coordinate changes to the opposite sign

• The y-coordinate changes to the opposite sign

Multiple Choice

If an image is reflected over the x-axis then which statement is true

• The x-coordinate changes to the opposite sign

• The y-coordinate changes to the opposite sign

Multiple Choice

Triangle TUV is reflected over the y-axis. The coordinates of Point T are (6,2). What are the coordinates of point T', the reflected image, using an algebraic representation?

• (x,-y)

• (-x,y)

• (x,y)

• (-x,-y)

Multiple Choice

The image displays two quadrilaterals after a transformation. Which statement correctly represents the transformation?

• The drawing displays a reflection across the y-axis according to the rule (x,y)->(-x,y)

• The drawing displays a reflection accross the y-axis according to the rule (x,y)->(x,-y)

• The drawing displays a reflection across the x-axis according to the rule (x,y)->(x,-y)

• The drawing displays a reflection across the x-axis according to the rule (x,y)->(-x,y)

Rotations

Turn your pre-image

Multiple Choice

The center of rotation will be the __ and we'll rotate in increments of __

• origin; 90

• (1,1); 180

• the middle; degrees

Multiple Choice

Which of these rules represents an algebraic representation of a rotation?

• (x,-y)

• (-x,-y)

• (-x,y)

• (-2x,y)

Multiple Choice

The following point A(6,1) is rotated at 270 degrees clockwise. What will A' be?

• (-1,6)

• (6,-1)

• (1,6)

• (-6,-1)

Multiple Choice

Do rotations preserve or change orientation of an image?

• Preserve, but angles are greater

• Change, but side lengths are congruent

• Preserve, but side lengths change by scale factor

• Change, but angles are smaller

Multiple Choice

Triangle ABC was transformed to create triangle A'B'C' as shown below.

Based on the information in the table, which transformation was applied to triangle ABC?

• 90 degree rotation CW

• Reflection across the y-axis

• Reflection across the x-axis

• 270 degree rotation CW

Multiple Choice

Figure ABCDE is similar to figure FGHJK.

Which proportion must be true?

• $\frac{AB}{CD}=\frac{HJ}{FG}$

• $\frac{CD}{HJ}=\frac{DE}{FG}$

• $\frac{BC}{GH}=\frac{JK}{DE}$

• $\frac{GH}{BC}=\frac{HJ}{CD}$

Dilations

• Enlarge or reduce a pre-image

• Scale Factor= New/Old

Multiple Choice

If the scale factor is ___ than one, it will ___ the figure.

• less; enlarge

• greater; enlarge

• less; bigger

• greater; reduce

Multiple Choice

Which of the following is the correct formula for scale factor?

• $\frac{pre-image}{image}$

• $\frac{image}{pre-image}$

• $\frac{AB}{BC}$

Multiple Choice

Dilations ___ angle measures

• Preserve

• Congruent

• Same

• Change

Multiple Choice

Dilations create ___ shapes.

• same

• bigger

• similar

• smaller

Multiple Choice

Circle B was dilated to form circle B'. The diameter of circle B is 8 units and the diameter of circle B' is 40 units. What is the relationship between the areas of circle B and circle B'?

• The area of circle B' would be 5 times the original area.

• The area of circle B' would be 1/5 times the original area.

• The area of circle B' would be 1/25 times the original area.

• The area of circle B' would be 25 times the original area.

Multiple Choice

The origin was used as the center of dilation to dilate triangle ABC as shown below.

Which algebraic representation best describes the dilation that was applied to triangle ABC to create triangle A'B'C'?

• (x,y)->(x+4,y+4)

• (x,y)->(4x,4y)

• (x,y)->(2.5x,2.5y)

• (x,y)->(2/5x,2/5y)

Multiple Choice

A triangle is to be dilated with a scale factor of 4. Which algebraic representation represents this dilation?

• (x,y)->(4x,4y)

• (x,y)->(4x,y)

• (4x,4y)->(x,y)

• (4x,y)->(4x,y)

Multiple Choice

A figure is dilated by a scale factor of 9. Which of the following is true about the figure and its dilation?

• The perimeter of the image is the same size as the perimeter of the pre-image.

• The perimeter of the image is 18 times larger than the perimeter of the pre-image.

• The perimeter of the image is 9 times larger than the perimeter of the pre-image.

• The perimeter of the image is 81 times larger than the perimeter of the pre-image.