6-7: Mixed Practice

In the diagram below, △ABC was dilated to create △A’B’C’. What is the scale factor for this dilation?

• 1/2

• 2

• 1/3

• 3

Two triangles are shown on the coordinate grid. Which sequence of transformation shows that

 $\Delta ABC\cong\Delta DEF$  ?

• Reflect △ABC across the x-axis, then translate it down 3

• Reflect △ABC across the x-axis, then translate it up 3

• Reflect △ABC across the y-axis, then translate it up 3

• Reflect △ABC across the y-axis, then translate it down 3

Two trapezoids are shown on the coordinate grid. Which sequence of transformations shows that the two trapezoids are congruent?

• Translate Trapezoid 1 to the right 9 units, then translate the resulting down 2 units.

• Translate Trapezoid 1 to the right 9 units, then reflect the resulting figure across the x-axis.

• Reflect Trapezoid 1 across the y-axis, then reflect it over the x-axis

• Reflect Trapezoid 1 across the x-axis, then reflect the resulting figure across the y-axis.

The vertices of a square are located at (0,1), (1,0), (0, -1), and (-1,0). Select all transformations that will carry this square onto itself.

• 90° rotation about the origin

• Dilation with a Scale Factor of 1

• Reflection across the line y = -x

• Translation of 4 units left

• Reflection across the x-axis

What transformations are used in the following pattern? (Circle all that apply)

• Reflection

• Rotation

• Dilation

• Translation

A trapezoid is shown in the coordinate plane. What is the line or lines of symmetry about which the trapezoid can be reflected in order to map the trapezoid onto itself?

• y = 0

• x = 0

• y = 4

• x = 2

Consider the figure below. What are the coordinates of Point B after a dilation with the center at the origin and a scale factor of 1/3?

• (2, 1)

• (-18, 9)

• (-2, 1)

• (-9, 6)

The figure shown below is symmetric with respect to both the x-axis and the y-axis. If the coordinates of Point B are (7, 5), what are the coordinates of Point E?

• (-7, 5)

• (7, -5)

• (5, 7)

• (-7, -5)

Which triangle below is symmetrical about the line x = -3?

• Triangle A

• Triangle B

• Triangle C

• Triangle D

Which transformation will NOT transform the original shape into the transformed shape?

• 270° counterclockwise rotation about the origin

• A 180° clockwise rotation about the origin and then a reflection across the y-axis

• A reflection about the x-axis

• A reflection across the y-axis and then a 180° clockwise rotation