Transformation NYS Questions

Figure 1 can be transformed to create Figure 2 using a single transformation

Which transformation can be used to accomplish this?

• dilation

• rotation

• reflection

• translation

Tags

CCSS.8.G.A.3

Lily wants to define a transformation (or series of transformations) using only rotations, reflections, or translations that takes Figure A to Figure B.

Which statement about the transformation that Lily wants to define is true?

• It can be defined with two reflections

• It can be defined with one rotation and one translation

• It cannot be defined because Figure A and Figure B are not congruent.

• It cannot be defined because the longest side of Figure B is on the bottom

Tags

CCSS.8.G.A.3

Line segment CD is graphed on a coordinate plane. The line segment is reflected over the x-axis and then rotated 90 clockwise about the origin to create line segment EF.

Which statement is always true about line segment EF?

• Line segment EF is congruent to line segment CD.

• Line segment EF is perpendicular to line segment CD.

• Line segment EF is twice the length of line segment CD.

• Line segment EF is one-half the length of line segment CD.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Triangle ABC is rotated 90 about the origin and then reflected over the y axis to form triangle A' B' C'. One of the angles in triangle ABC has a measure of 115 . One of the angles in triangle A'B'C' has a measure of 40 . Which is the measure of an angle in triangle ABC?

• 25

• 75

• 155

• 180

Tags

CCSS.8.G.A.3

A sequence of transformations was applied to an equilateral triangle in a coordinate plane. The transformations used were rotations, reflections, and translations. Which statement about the resulting figure is true?

• It must be an equilateral triangle with the same side lengths as the original triangle.

• It must be an equilateral triangle, but the side lengths may differ from the original triangle.

• It may be a scalene triangle, and all the side lengths may differ from the original triangle

• It may be an obtuse triangle with at least one side the same length as the original triangle.

Tags

CCSS.8.G.A.3

Which sequence of transformations of square PQRS shows that square PQRS is congruent to square TUVW?

• a translation 2 units up and 2 units to the right, then a reflection over the x-axis

• a translation 2 units up and 2 units to the right, then a reflection over the y-axis

• a translation 2 units down and 2 units to the left, then a reflection over the x-axis

• a translation 2 units down and 2 units to the left, then a reflection over the y-axis

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Which sequence could be used to transform pentagon P to pentagon Q?

• a 180 clockwise rotation about the origin

• a translation four units left and then a reflection over the x-axis

• a reflection over the y-axis and then a translation seven units down

• a translation seven units down and then a 90 clockwise rotation about the origin

Tags

CCSS.8.G.A.3

Which sequence of transformations could take figure P to figure Q?

• reflection over the x-axis and translation 7 units right

• reflection over the y-axis and translation 3 units down

• translation 1 unit right and 180 rotation about the origin

• translation 4 units right and 180 rotation about the origin

Tags

CCSS.8.G.A.3

Which sequence does not transform triangle F to triangle G?

• a 180 clockwise rotation about the origin

• a 180 counterclockwise rotation about the origin

• a reflection over the x-axis and then a reflection over the y-axis

• a reflection over the y-axis and then a 90 clockwise rotation about the origin

Tags

CCSS.8.G.A.3

Which series of transformations could be applied to map trapezoid ABCD onto trapezoid A'B'C'D'?

• reflection over the x axis and then a rotation of 180 about the origin

• reflection over the x axis and then a rotation of 90 about the origin

• reflection over the y axis and then a rotation of 180 about the origin

• reflection over the y axis and then a rotation of 90 about the origin

Tags

CCSS.8.G.A.3