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Congruency and similarity

Authored by Wayground Content

Mathematics

8th - 12th Grade

CCSS covered

Congruency and similarity
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which sequences make congruent figures?

translations only

rotations, reflections, and translations

rotations and reflections only

dilations, reflections, rotations, and translations

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

The triangles are congruent. Which sequence of rigid motions will take triangle XYZ onto triangle BCA?

Translate XYZ using directed line segment YC. Rotate X'Y'Z' using C as the center so that X' coincides with B. Reflect X"Y"Z" across line CB

Translate XYZ using directed line segment YC. Rotate X'Y'Z' using C as the center so that X' coincides with B. Reflect X"Y"Z" across line AC.

Translate XYZ using directed line segment YC. Rotate X'Y'Z' using C as the center so that X' coincides with A. Reflect X"Y"Z" across line CB.

Translate XYA using directed line segment YC. Rotate X'Y'Z' using C as the center so that X' coincides with A. Reflect X"Y"Z across line AC.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Determine if the two figures are congruent by using transformations. Explain your reasoning

congruent; a rotation

congruent; a reflection followed by translation

not congruent

congruent; a reflection

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

4.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

Media Image

Pick a rule to describe the rotation

90 degrees clockwise around the origin

90 degrees counter clockwise around the origin

180 degrees around the origin

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

5.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Media Image

Are the figures congruent?

(What type of transformation is shown?)

Congruent (rotation)

Congruent (reflection)

NOT Congruent (rotation)

NOT Congruent (reflection)

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Which transformation results in images that are NOT congruent?

dilation

translation

reflection

rotation

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

7.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

Media Image

Two triangles are shown on the coordinate grid. Which sequence of transformations shows that ΔABC is congruent to ΔDEF ?

Reflect △ABC across the x-axis, then translate it right 1

Reflect △ABC across the y-axis, then translate it right 1

Reflect △ABC across the x-axis, then translate it left 1

Reflect △ABC across the y-axis, then translate it left 1

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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