Transformation and Congruence Quiz

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

• A translation 10 units 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 by a translation 1 unit up

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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

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

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

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

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

Tags

CCSS.8.G.A.3

Which statement is true regarding the congruence of parallelogram WXYZ and parallelogram W'X'Y'Z'?

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

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

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

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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 3 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

Which sequence of transformations proves triangles KLM and K'L'M' are congruent?

• Rotate triangle KLM 180° clockwise about the origin, then translate it up 2 units.

• Rotate triangle KLM 90° clockwise about the origin, then translate it down 2 units.

• Reflect triangle KLM across the y-axis, then translate it down 4 units and right 2 units.

• Reflect triangle KLM across the x-axis, then translate it down 4 units and right 2 units.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Which statement is true?

• 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, 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, or translations that maps quadrilateral UVWX onto quadrilateral U'V'W'X'.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Which statement is true about the triangles JKL and J'K'L'?

• 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 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' using 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

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.3

Which statement is true?

• Triangle 2 is congruent to triangle 1 because it can be produced by reflecting triangle 1 across the x-axis followed by a translation 1 unit down.

• Triangle 2 is congruent to triangle 1 because it can be produced by reflecting triangle 1 across the x-axis followed by a translation 7 units down.

• Triangle 2 is congruent to triangle 1 because it can be produced by reflecting triangle 1 across the y-axis followed by a translation 1 unit down.

• Triangle 2 is congruent to triangle 1 because it can be produced by reflecting triangle 1 across the y-axis followed by a translation 7 units down.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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.2

CCSS.HSG.CO.B.6