Unit 1 Rigid Transformations and Congruence Review

Rectangle FGHJ, shown in the picture, is translated 6 units right and and 1 unit up to produce rectangle F'G'H'J'. Which statement about the side lengths of rectangle F'G'H'J' is true?

• F'G' = 3 and G'H' = 5

• F'G' = 3 and G'H' = 6

• F'G' = 9 and G'H' = 5

• F'G' = 9 and G'H' = 6

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CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Lily wants to define a transformation (or series of transformations) using only rotations, reflections, or translations that takes Figure A to Figure B. Which statement about the transformation that Lily wants to define is true?

• It can be defined with two reflections.

• It can be defined with one rotations and one translation.

• It cannot be defined because Figure A and Figure B are not congruent.

• It cannot be defined because the longest side of figure B is on the bottom.

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CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Figure X and figure Y are shown on the coordinate grid below. 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 degree 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 degree clockwise rotation will transform figure X to figure Y, but the figures will not be congruent.

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CCSS.8.G.A.1

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CCSS.8.G.A.3

Pentagon P and pentagon Q, shown in the picture, are congruent. Which sequence could be used to transform pentagon P to pentagon Q?

• A 180 degree clockwise rotation about the origin

• A translation four units left and then a reflection over the x-axis.

• A reflection over the y-axis and then a translation seven units down.

• A translation seven units down and then a 90 degree clockwise rotation about the origin.

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Triangle F and triangle G are shown in the picture. Which sequence does not transform triangle F to triangle G?

• A 180 degree clockwise rotation about the origin.

• A 180 degree counterclockwise rotation about the origin.

• A reflection over the x-axis and then a reflection over the y-axis.

• A reflection over the y-axis and then a 90 degree clockwise rotation about the origin.

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Triangle A and triangle B are graphed on the coordinate plane shown. Which sequence of transformations will map triangle A onto its congruent image, triangle B?

• A reflection over the x-axis, then a reflection over the y-axis.

• A translation 8 units down, then a reflection over the y-axis.

• A reflection over the x-axis, then a translation 6 units to the left.

• A rotation 90 degrees about the origin, then a translation 6 units to the left.

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

A parallelogram with vertices at (0, 3), (2, 0), (4, 2), and (2, 5) is reflected over the y-axis. Which vertex of the parallelogram will have the same x-coordinate before and after the reflection?

• (0, 3)

• (2, 0)

• (4, 2)

• (2, 5)

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Congruent rectangles HJKL and H'J'K'L' are shown on the coordinate grid in the picture. Describe a sequence of transformations on rectangle HJKL that would result in rectangle H'J'K'L'.

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CCSS.8.G.A.2

CCSS.8.G.A.3