Practice G.1

Figure 1 can be transformed to create Figure 2 using a single transformation. Which transformation can be used to accomplish this?

• dilation

• rotation

• reflection

• translation

Tags

CCSS.8.G.A.3

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

• A. F'G' = 3 and G'H' = 5

• B. F'G' = 3 and G'H' = 6

• C. F'G' = 9 and G'H' = 5

• D. F'G' = 9 and G'H' = 6

Tags

CCSS.HSG.CO.A.2

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 rotation 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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Line segment MN is 5 units long, and line segment ST is 7 units long. Line segment MN is translated 1 unit up, and line segment ST is translated 1 unit down. Which statement is true?

• Line segment M'N' and line segment S'T' are both 6 units long.

• Line segment M'N' and line segment S'T' are both 12 units long.

• Line segment M'N' is 7 units long and line segment S'T' is 5 units long.

• Line segment M'N' is 5 units long and line segment S'T' is 7 units long.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Use the graph below to answer the question. Quadrilateral PQRS will be rotated 90° clockwise about the origin resulting in quadrilateral P'Q'R'S'. Which statement is true?

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Line segment CD is graphed on a coordinate plane. The line segment is reflected over the x-axis and then rotated 90° clockwise about the origin to create line segment EF. Which statement is always true about line segment EF?

• A. Line segment EF is congruent to line segment CD.

• B. Line segment EF is perpendicular to line segment CD.

• C. Line segment EF is twice the length of line segment CD.

• D. Line segment EF is one-half the length of line segment CD.

Tags

CCSS.8.G.A.3

Consider the angle measures of trapezoid QRST. If trapezoid QRST is graphed on the coordinate plane and reflected across the y-axis to form trapezoid WXYZ, which two statements are true?

• The measure of angle W is 90°.

• The measure of angle W is 117°.

• The measure of angle X is 63°.

• The measure of angle X is 90°.

• The measure of angle Z is 90°.

Tags

CCSS.8.G.A.3

Line segment MN is 5 units long, and line segment ST is 7 units long. Line segment MN is translated 1 unit up, and line segment ST is translated 1 unit down. Which statement is true?

• Line segment M'N' and line segment S'T' are both 6 units long.

• Line segment M'N' and line segment S'T' are both 12 units long.

• Line segment M'N' is 7 units long, and line segment S'T' is 5 units long.

• Line segment M'N' is 5 units long, and line segment S'T' is 7 units long.

Tags

CCSS.8.G.A.3

Rectangle JKLM is rotated 90° counterclockwise about the origin to form rectangle J'K'L'M'. Which statement is true?

• Line segment J'K' is 2 units long, and line segment J'M' is 2 units long.

• Line segment J'K' is 2 units long, and line segment J'M' is 7 units long.

• Line segment J'K' is 7 units long, and line segment J'M' is 2 units long.

• Line segment J'K' is 7 units long, and line segment J'M' is 7 units long.

Tags

CCSS.HSG.CO.A.2

Triangle MNP is the image of triangle JKL after a vertical translation of triangle JKL. Which statement is true?

• A. The measure of angle N is equal to the measure of angle K.

• B. The measure of angle N is greater than the measure of angle K.

• C. The measure of angle N is less than the measure of angle K.

• D. There is not enough information to determine a relationship between angle N and angle K.

Tags

CCSS.HSG.CO.A.2