Transformation OST Review Questions

Which term is defined as two intersecting lines that form four right angles in a plane?

• Skew lines

• Straight lines

• Parallel Lines

• Perpendicular lines

The equation of a line is shown.

6x - 3y = 5

A dilation centered at the origin with a scale factor of 6 is applied to this line. What is the slope of the line after the dilation?

• 2

• 3

• 5/3

• -5/3

The equation of a line is shown.

6x - 3y = 5

A dilation centered at the origin with a scale factor of 6 is applied to this line. What is the value of the y-intercept of line after the dilation?

• 2

• 3

• -5/3

• -10

Triangle MNO is transformed to produce triangle PQR. Select all of the transformations that would guarantee triangles MNO and PQR are congruent.

• a dilation, then a translation

• a reflection, then a dilation

• a reflection, then a rotation

• a rotation, then a translation

• a translation, then a reflection

Let the statement (x, y)--> (a, b) describe the translation.

Create equations for a in terms of x and for b in terms of y that could be used to describe the translation.

• a= x - 3

  b= y - 4

• a= x - 4

  b= y - 3

• a= x - 4

  b= y + 3

• a= x + 4

  b= y - 3

Triangle ABC has vertices A(1, 1), B(2.5, 3), C(0, -3). It is dilated by a scale factor of 1/2 about the origin to create triangle A'B'C'. What is the length, in units, of side B'C'?

• 2.5

• 3.25

• 4

• 4.25

Kyle performs a transformation on a triangle. The resulting triangle is similar but not congruent to the original triangle.

Which transformation did Kyle perform on the triangle?

• dilation

• relfection

• rotation

• translation

Square ABCD is transformed to create the image A'B'C'D' as shown.

Select all of the transformations that could have been performed.

• a reflection across the line y = x

• a reflection across the line y = -2x

• a rotation of 180 degrees clockwise about the origin

• a reflection across the x-axis, and then a reflection across the y-axis

• a rotation of 270 degrees counterclockwise about the origin, and then a reflection across the x-axis

Parallelogram ABCD is shown. Point E is the midpoint of segment AB. Point F is the midpoint of segment CD.

Which transformation carries the parallelogram onto itself?

• a reflection across line segment AC

• a reflection across line segment EF

• a rotation of 180 degrees clockwise about the origin

• a rotation of 180 degrees clockwise about the center of the parallelogram

Circle J is located in the first quadrant with center (a, b) and radius s. Felipe transforms Circle J to prove that it is similar to any circle centered at the origin with radius t.

Which sequence of transformations did Felipe use?

• Translate Circle J by (x+a, y+b) and dilate by a factor of t/s

• Translate Circle J by (x+a, y+b) and dilate by a factor of s/t

• Translate Circle J by (x-a, y-b) and dilate by a factor of t/s

• Translate Circle J by (x-a, y-b) and dilate by a factor of s/t