Line segment AB is reflected across the y-axis to form segment CD. Then, segment CD is rotated 180 degrees clockwise to form segment EF. Which statement is TRUE about this transformation?

Line segment EF is the same length as line segment AB.

Line segment EF is longer than line segment CD.

Line segment EF is shorter than line segment AB.

Line segment CD is shorter than line segment AB.

Suppose a rectangle undergoes a reflection across the x-axis and a translation 5 units down. Which of the statements is true?

The resulting rectangle will be congruent to the original rectangle regardless of the order of the rotation and the translation.

The resulting rectangle will be congruent to the original rectangle only if the rotation occurs before the translation.

The resulting rectangle will be congruent to the original rectangle only if the translation occurs before the rotation.

The resulting rectangle will not be congruent to the original rectangle regardless of the order of the rotation and the translation.

Which of the statements is true about the graphed triangles?

They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.

They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.

They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.

They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.

Transformations, Congruence, Similarity and Dilations

Authored by Barbara White

Mathematics

7th - 10th Grade

CCSS covered

Transformations, Congruence, Similarity and Dilations

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which transformation(s) create(s) congruent figures?

Dilation

Translation, Reflection, Rotation

Dilation and Translation

Dilation and Reflection

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which transformation(s) create(s) similar figures?

Dilation

Translation, Reflection, and Rotation

Translation and Reflection

Reflection and Rotation

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

When talking about figures on a coordinate plane, what does "congruent" mean?

Same shape, same size

Same shape, size changes

Different shape, different size

Same shape, different size

Tags

CCSS.8.G.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

When talking about figures on a coordinate plane, what does "similar" mean?

Same shape, side lengths are proportional and angle measure are the same

Same shape, side length are different and angles are different

Different shape, different sizes

Shapes sort of the same, but sides and angles are different

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Fill in the blank: A dilation creates ___________ figures.

Congruent

Similar

Tags

CCSS.8.G.A.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Fill in the blank: Translations create __________ figures.

Similar

Congruent

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Fill in the blank: Reflections create __________ figures.

Similar

Congruent

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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Transformations, Congruence, Similarity and Dilations

Which transformation(s) create(s) congruent figures?

Which transformation(s) create(s) similar figures?

When talking about figures on a coordinate plane, what does "congruent" mean?

When talking about figures on a coordinate plane, what does "similar" mean?

Fill in the blank: A dilation creates ___________ figures.

Fill in the blank: Translations create __________ figures.

Fill in the blank: Reflections create __________ figures.

Fill in the blank: Rotations create __________ figures.

The side length of a square on a coordinate plane is 5 units. If the square undergoes a rotation 90 degrees clockwise, what will be the side length of the image of the square?

An equilateral triangle has 3 equal sides and 3 equal angles. If an equilateral triangle was reflected over the y-axis, what will be the measure of each angle of the image?

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