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 two lines are parallel to each other and are also parallel to the y-axis on the coordinate plane. The two lines are both rotated 270 degrees around the origin. Which statement is true about both lines after the rotation?

They will still be parallel to each other.

They will be perpendicular to each other.

They will still be parallel to the y-axis.

The lines will no longer be parallel to each other.

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.

A pentagon graphed on a coordinate plane underwent a rotation about the origin, a reflection across the y–axis, a translation down, and a dilation with a scale factor of 3 from its center to produce another pentagon. Which of these statements is true about the original pentagon and the new pentagon?

They may or may not be similar, depending on the number of units translated.

They may or may not be similar, depending on the number of degrees rotated.

8.G.4

Authored by Ashley Fox

Mathematics

8th Grade

CCSS covered

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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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8.G.4

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.

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?

Suppose two lines are parallel to each other and are also parallel to the y-axis on the coordinate plane. The two lines are both rotated 270 degrees around the origin. Which statement is true about both lines after the rotation?

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