Unit 3 Review

Multiple Choice

Which of the following is an example of an algebraic representation for translations:

• (x,y)---> (x+2, y-5)

• (x,y)---> (5x, 5y)

• (x,y)---> (-x,y)

• (x,y)---> (-x,-y)

Multiple Choice

What is the verbal description of the following rule (x+7, y-3)?

• right 7, down 3

• left 7, down 3

• up 7, left 3

• down 7, right 3

Multiple Choice

Mrs. Barnes translated trapezoid PQRS to trapezoid P'Q'R'S'. Vertex P was at (3,5). Where would vertex P' be when translated 7 units left and 2 units down.

• (-4,3)

• (4,-3)

• (10,7)

• (10,3)

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 angle measures of triangle P'R'S' are LESS THAN the corresponding angle measures of triangle PRS.

• The angle measures of triangle P'R'S' are GREATER THAN the corresponding angle measures of triangle PRS.

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

• The angle measures of triangle P'R'S' are LESS THAN OR EQUAL to the corresponding angle measures of triangle PRS.

• The angle measures of triangle P'R'S' are GREATER THAN OR EQUAL to the corresponding angle measures of triangle PRS.

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 across the x-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)

Multiple Choice

What is the rule for a 270º rotation clockwise?

• (x,y)--->(-y,x)

• (x,y)--->(y,-x)

• (x,y)--->(-x,-y)

• (x,y)--->(-x,y)

Multiple Choice

What is the rule for a 180º rotation clockwise?

• (x,y)--->(-x,-y)

• (x,y)--->(y,-x)

• (x,y)--->(-y,-x)

• (x,y)--->(-x,y)

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?

• 90º rotation clockwise

• Reflection across the x-axis

• Reflection across the y-axis

• 270º rotation clockwise

Multiple Choice

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

• $$\frac{New}{Old}$$  

• $$\frac{Old}{New}$$  

• $$\frac{preimage}{image}$$  

• $$\frac{preimage}{original}$$  

Multiple Choice

Circle B was dilated by scale factor of 5 to form circle B'. 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 1/25 times the original area.

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

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

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 9 times larger than 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 81 times larger than the perimeter of the pre-image.

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)--->(2.5x,2.5y)

• (x,y)--->(4x,4y)

• (x,y)--->(2/5x,2/5y)

Multiple Choice

Figure ABCDE is similar to figure FGHJK.

Which proportion must be true?

• $$\frac{AB}{CD}=\frac{HJ}{FG}$$  

• $$\frac{CD}{HJ}=\frac{DE}{FG}$$  

• $$\frac{BC}{GH}=\frac{JK}{DE}$$  

• $$\frac{GH}{BC}=\frac{HJ}{CD}$$  

Multiple Choice

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

• (x,y)--->(4x,4y)

• (4x,4y)--->(x,y)

• (x,y)--->(4x,y)

• (4x,y)--->(4x,y)

Multiple Choice

A rectangle with a perimeter of 10 units is graphed on a coordinate grid. The square is dilated by a scale factor of 0.6 with the origin as the center of dilation.

If (x,y) represents the location of any point on the original rectangle, which ordered pair represents the coordinates of the corresponding point on the resulting rectangle?

• (10x, 10y)

• (0.6x, 0.6y)

• (x+10, y+10)

• (x+0.6, y+0.6)

Multiple Choice

Triangle ABC and triangle A'B'C' are similar triangles. Which proportion must be true?

• $$\frac{4}{y}=\frac{2.74}{4.5}$$  

• $$\frac{3.27}{x}=\frac{4.5}{2.74}$$  

• $$\frac{4}{4.5}=\frac{2.74}{y}$$  

• $$\frac{3.27}{x}=\frac{2.74}{4.5}$$