BM G2

Polygon 1 and polygon 2 are in different quadrants on the coordinate plan if polygon 1 is congruent to polygon 2, which statement is true?

• Polygon 1 can always be mapped onto ploygon 2 by a series of reflections, rotations, aseries of reflections, rotations, and/or translations

• Polygon 1 can always be mapped onto polygon 2 by a series of rotation and translations only.

• Polygon 1 can always be mapped onto polygon 2 by a single reflection only.

• Ploygon 1 can always be mapped onto polygon 2 by a single rotation only

Considre the two triangles.

Which statement is true?

• Since triangle JKL can be mapped onto triangle J'K'L' using a translation down 3 followed by a reflection across the y-axis, the triangles are not congruent.

• Since triangle JKL can be mapped onto triangle J'K'L' using a translation down 3 followed by a reflection across the y-axis, the triangles are congruent.

• Since triangle JKL can be mapped onto triangle J'K'L' using a translation down 3 followed by a reflection across the x-axis, the triangles are not congruent.

• Since triangle JKL can be mapped onto triangle J'K'L' using a translation down 3 followed by a reflection across the x-axis, the triangles are not congruent.

Consider trapezoid LMNP and trapzoid L'M'N'P'.

Which sequence of transformations maps trapezoid LMNP onto trapezoid L'M'N'P' and proves the two trapezoids are congruent?

• a translation 10 untis right and a reflection across the x-axis

• a translation 10 units down and a reflection across the y-axis

• a reflection across the y-axis followed by a reflection across the x-axis

• a 180 rotation about the origin followed b y a translation 1 unit up

Consider the figures.

Which statement is true?

• Figure E' is not congruent to figure E because it can be produced by a 90 clockwise rotation of figure E about the origin

• Figure E' is not congruent to figure E because it can be produced by dilating figure E by a scale factor of -3

• Figure E' is congruent to figure E because it can be produced by a 90 clockwise rotation of figure E about the origin

• Figure E' is congruent to figure E because it can be produced by dilating figure E by a scale factor of -3

Consider the two trapezoids

Which statement is true?

• Trapezoid W'X'Y'Z' is congruent to trapezoid WXYZ because it can be produced by reflecting trapezoid WXYZ across the y-axis followed by a translation right 4 units.

• Trapezoid W'X'Y'Z' is congruent to trapezoid WXYZ because it can be produced by reflecting trapezoid WXYZ across the y-axis.

• Trapezoid W'X'Y'Z' is congruent to trapezoid WXYZ because it can be produced by reflecting trapezoid WXYZ across the x-axis followed by a translation right 4 units.

• Trapezoid W'X'Y'Z' is congruent to trapezoid WXYZ because it can be produced by reflecting trapezoid WXYZ across the x-axis.

Consider the two triangles

Which statement is true?

• Since triangle JKL can be mapped onto triangle J'K'L' using a translation down 3 units followedd by a reflection across the y-axis, the triangles are not congruent

• Since triangle JKL can be mapped onto triangle J'K'L' using a translation down 3 units followed by a reflection across the y-axis, the triangles are congruent

• Since triangle JKL can be mapped onto triangle J'K'L' using a translation down 3 units followed by a reflection across the x-axis, the triangles are not congruent

• Since triangle JKL can be mapped onto triangle J'K'L' ysing a translation down 3 units followed by a reflection across the x-axis, the triangles are congruent

Consider quadrilaterals UVWX and U'V'W'X'.

• Quadrilateral UVWX is congruent to quadrilateral U'V'W'X' because there is a sequence of rotations, reflections, and/or translations that maps quadrilateral UVWX onto quadrilateral U'V'W'X'

• Quadrilateral UVWX is congruent to quadrilateral U'V'W'X' because there is no sequence of rotations, reflections, and/or translations that maps quadrilateral UVWX onto quadrilateral U'V'W'X'

• Quadrilateral UVWX is not congruent to quadrilateral U'V'W'X' because there is a sequence of rotations, reflections, and/or translations that maps quadrilateral UVWX onto quadrilateral U'V'W'X'

• Quadrilateral UVWX is not congruent to quadrilateral U'V'W'X' because there is no sequence of rotations, reflections, and/or translations that maps quadrilateral UVWX onto quadrilateral U'V'W'X'

Consider parallelogram WXYZ and parallelogram W'X'Y'Z'.

Which statement is true?

• Parallelogram WXYZ is congruent to parallelogram W'X'Y'Z' is congruent to parallelogram W'X'Y'Z' because there is a sequence of rotation, reflection, and/or translations that maps parallelogram WXYZ onto parallelogram W'X'Y'Z'.

• Parallelogram WXYZ is congruent to parallelogram W'X'Y'Z' is congruent to parallelogram W'X'Y'Z' because there is no sequence of rotation, reflection, and/or translations that maps parallelogram WXYZ onto parallelogram W'X'Y'Z'.

• Parallelogram WXYZ is not congruent to parallelogram W'X'Y'Z' is congruent to parallelogram W'X'Y'Z' because there is a sequence of rotation, reflection, and/or translations that maps parallelogram WXYZ onto parallelogram W'X'Y'Z'.

• Parallelogram WXYZ is not congruent to parallelogram W'X'Y'Z' is congruent to parallelogram W'X'Y'Z' because there is no sequence of rotation, reflection, and/or translations that maps parallelogram WXYZ onto parallelogram W'X'Y'Z'.

Consider trapezoid M and trapezoid N.

Which sequence of transformations maps trapezoid M onto trapezoid N and proves the two trapezoids are congruent?

• a reflection across the x-axis followed by a translation up 1 unit

• a reflection across the y-axis followed by a translation up 2 units

• a rotation 90 counterclockwise about the origin followed by a translation up 2 units

• a translation right 14 units followed by a translation up 4 units

Trapezoid RSTU and trapezoid NMLK shown on the coordinate plan are congruent.

Which sequence of transformations. will map trapezoid RSTU onto trapezoid NMLK?

• a reflection over the y-axis, then a translation 1 unit to the right

• a reflection over the x-axis then a translation 1 unit to the left

• a reflection over the y-axis, then a translation 1 unit down

• a reflection over the x-axis, then a translation 1 unit up