Transformations Rectangle and Right Triangle

Translations, reflections and rotations are all known as ________________________.

• Geometry

• Transformations

• Congruent

On the coordinate plane, rectangle ABCD is rotated 90° clockwise about the origin to form rectangle WXYZ.

Which statement about the relationship between rectangle ABCD and rectangle WXYZ is true?

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Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Rectangle R undergoes a dilation with scale factor 0.5 and then a reflection over the y- axis. The resulting image is Rectangle S. Which statement about Rectangles R and S is true?

• They are congruent and similar.

• They are similar but not congruent.

• They are congruent but not similar.

• They are neither congruent nor similar.

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

Figure X and figure Y are shown on the coordinate grid.

Which statement about figures X and Y must be true?

• A series of translations will transform figure X to figure Y, and the figures will be congruent.

• A 180° clockwise rotation will transform figure X to figure Y, and the figures will be congruent.

• A series of translations will transform figure X to figure Y, but the figures will not be congruent.

• A 180° clockwise rotation will transform figure X to figure Y, but the figures will not be congruent.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Figure Q was the result of a sequence of transformations on figure P, both shown above. Which sequence of transformations could take figure P to figure Q?

• reflection over the x-axis and translation 7 units right

• reflection over the y-axis and translation 3 units down

• translation 1 unit right and 180° rotation about the origin

• translation 4 units right and 180° rotation about the origin

Tags

CCSS.8.G.A.3

A rectangle is plotted on the coordinate plane below. Which image shows a 180° rotation about the origin?

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Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

• Reflection

• Rotation

• Translation

• Dilation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

• Reflection

• Rotation

• Translation

• Dilation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

• reflection across line BC and reflection across line AC

• reflection across line BC and translation 4 units right

• translation 4 units right and translation 4 units down

• rotation 180 degrees clockwise about C and translation 4 units down

Tags

CCSS.8.G.A.3

Rectangle ABCD is shown on the coordinate grid. Rectangle ABCD is dilated with the origin as the center of dilation using the above rule to create rectangle A'B'C'D'.  Which statement is true?

• Rectangle A'B'C'D' is larger than rectangle ABCD, because the scale factor is greater than 1.

• Rectangle A'B'C'D' is smaller than rectangle ABCD, because the scale factor is less than 1.

• Rectangle A'B'C'D' is larger than rectangle ABCD, because the scale factor is less than 1.

• Rectangle A'B'C'D' is smaller than rectangle ABCD, because the scale factor is greater than 1.

Tags

CCSS.8.G.A.3