Congruence through Transformations

Which transformation will map an image onto itself?

• A translation 3 units right and 3 units up

• A rotation 360^o clockwise

• A reflection over the y-axis followed by a translation 3 units down

• A dilation followed by a 90^o clockwise rotation

Tags

CCSS.HSG.CO.A.3

What happens when parallel lines are rotated 270^o counterclockwise?

• The lines intersect

• The lines remain parallel

• The lines become perpendicular lines

• The lines become curved lines

Tags

CCSS.8.G.A.3

What will be the new position of the given point after a reflection across the y-axis?

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Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The slope of two parallel lines is -1. When the lines are translated 3 units right and 1 unit down, how does this affect the slope?

• The slopes remain -1.

• The slopes increase by 3.

• The slopes decrease by 1.

• The slopes become positve.

Tags

CCSS.HSG.CO.A.2

Which series of transformations were performed in the figure?

• Translation 5 units down, reflection over the y-axis

• Reflection over the x-axis, translation 6 units right

• Rotation 90^o clockwise, reflection over the x-axis

• Rotation 180^o clockwise, reflection over the y-axis

Tags

CCSS.8.G.A.3

What will be the new position of the given point after rotating 90^o counterclockwise or 270^o clockwise?

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Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Line segment AB is translated left 2 units and down 4 units to form line segment A'B'. What is the distance between point A' and point B'?

• 2 units

• 4 units

• 6 units

• 8 units

Tags

CCSS.HSG.CO.A.2

A 76^o angle is reflected across the x-axis. What is the measure of the angle in the image?

• 67 degrees

• 90 degrees

• 76 degrees

• 180 degrees

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which of the following images shows a rotation of 180^o?

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Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The preimage above is rotated 90^o counterclockwise. How do the side lengths in the preimage compare to the side lengths in the image?

• Some of the side lengths increase in measure and other side lengths decrease in measure.

• The measures of the side lengths double.

• The measures of the side lengths decrease by one third.

• The measures of the side lengths are the same.

Tags

CCSS.HSG.CO.A.2