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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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

Tags

CCSS.8.G.A.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.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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'

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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'.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6