a mapping of each angle and side form one figure onto a congruent figure

Angles that are closest together

Sides that are closest together

The longest sides of two figures.

Are the corresponding sides and angles congruent? Justify your response.

Yes, because ⊿ABC is a reflection of ⊿ADC so the figures are congruent.

Yes, because ⊿ABC is a rotation of ⊿ADC so the figures are congruent.

Yes, because ⊿ABC is a translation of ⊿ADC so the figures are congruent.

Use rigid motions to explain why ∆ABC ≅ ∆XYZ.

If ∆ABC is rotated around the origin 180 degrees, it will map to ∆XYZ. Since Rotations preserve shape and size, the triangles are congruent.

If ∆ABC is translated, it will map to ∆XYZ. Since Rotations preserve shape and size, the triangles are congruent.

If ∆ABC is reflected across the y-axis, it will map to ∆XYZ. Since Rotations preserve shape and size, the triangles are congruent.

If ∆ABC is rotated around the origin 90 degrees, it will map to ∆XYZ. Since Rotations preserve shape and size, the triangles are congruent.

What are the series of rigid motions that would map ∆ABC onto ∆A''B''C''?

a reflection followed by a translation

a reflection followed by a rotation

a translation followed by a rotation

a translation followed by a reflection

Rigid Motion and Congruence

Mathematics

9th - 12th Grade

CCSS covered

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The original figure prior to a transformation.

Pre-image

Image

Tags

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

30 sec • 12 pts

The result of a transformation.

Pre-image

Image

Tags

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If the dotted figure is the image, the original figure was reflected over the ...

x-axis

y-axis

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Another name for Reflection is...

flip

turn

slide

dilation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

True or false: A reflection makes a congruent figure.

true

false

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A slide is also called a _________.

Translation

Reflection

Rotation

Transformation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Identify the transformation from C to D.

90^o Counter Clockwise Rotation

180^o Rotation

270^o Counter clockwise Rotation

360^o Rotation

Tags

CCSS.HSG.CO.B.6

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Rigid Motion and Congruence

The original figure prior to a transformation.

The result of a transformation.

If the dotted figure is the image, the original figure was reflected over the ...

Another name for Reflection is...

True or false: A reflection makes a congruent figure.

A slide is also called a _________.

Identify the transformation from C to D.

What does a translation do to an image?

Which answer shows a reflection across the y-axis?

A type of transformation where a figure is “flipped” over a line of symmetry. A reflection produces a mirror image of a figure.

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