Sequencing transformations

Front

Which sequence of transformations could be applied to triangle FGH to create triangle F'G'H'? Options: a translation 3 units left followed by a translation 1 unit up, a reflection across the x-axis followed by a rotation 180° clockwise about the origin, a rotation 180° clockwise about the origin followed by a translation 3 units up and then a translation 1 unit right, a reflection across the y-axis followed by a rotation 90° counterclockwise about the origin and then a reflection across the x-axis

Back

a reflection across the y-axis followed by a rotation 90° counterclockwise about the origin and then a reflection across the x-axis

Front

On the coordinate grid shown below, pentagon J is similar to pentagon K. Which sequence of transformations could be applied to pentagon J to create pentagon K? a reflection across the y-axis, then a translation 4 units right; a reflection across the x-axis, then a translation 2 units up and 8 units right; a rotation 90° clockwise about the origin, then a translation 1 unit down and 5 units right; a rotation 90° counterclockwise about the origin, then a translation 3 units up and 7 units right

Back

a rotation 90° counterclockwise about the origin, then a translation 3 units up and 7 units right

Front

Triangle RST and triangle R'S'T' are congruent. Which sequence of transformations could be used to show the congruence between the triangles? Options: a translation 3 units up and then a translation 5 units to the right, a translation 2 units to the right and then a reflection across the y-axis, a reflection across the y-axis and then a translation 1 unit to the right and 3 units up, a translation 1 unit to the right and 3 units up and then a reflection across the y-axis.

Back

a translation 1 unit to the right and 3 units up and then a reflection across the y-axis.

Front

Which sequence of transformations could be used to map quadrilateral ABCD onto quadrilateral A'B'C'D'? Options: a reflection across the x-axis, followed by a dilation centered at the origin with a scale factor of 0.5; a dilation centered at the origin with a scale factor of 0.5, followed by a reflection across the y-axis; a translation 4 units to the right, followed by a dilation centered at the origin with a scale factor of 0.5; a rotation of 180° about the point (0, ^–0.5), followed by a dilation centered at the origin with a scale factor of 0.5.

Back

a dilation centered at the origin with a scale factor of 0.5, followed by a reflection across the y-axis

Front

Rectangle ABCD becomes rectangle A'B'C'D' under a translation of 2 units to the left and 4 units down. What are the coordinates of A'?

Back

(-4,0)

Front

The Bolt Soda Company is designing a logo. They start with the figure shown in the third quadrant. They then add the rotation of this figure 90º clockwise about the origin to the design. What does the new design look like?

Back

Front

Pentagon A is congruent to pentagon B. Which series of transformations can be used to verify this congruence? Use pentagon A as the pre-image.

Back

rotate 90º clockwise, then reflect over x-axis

Front

Which figure can be transformed into Figure P by a translation of 2 units to the right followed by a reflection across the x-axis? Options: Figure J, Figure K, Figure L, Figure M

Back

Figure M

Front

A translation 3 units right and 2 units down, followed by a dilation centered at the origin with a scale factor of 2, is performed on triangle LNR to create triangle L'N'R'. Which statement about side of triangle L'N'R' is true? Because vertex L' is located at (–2, 6) and vertex N' is located at (4, –2), the length of side is 10 units.

Back

Because vertex L' is located at (–2, 6) and vertex N' is located at (4, –2), the length of side is 10 units.

Front

Which sequence of transformations could be used to map quadrilateral ABCD onto quadrilateral A'B'C'D'? Options: a reflection across the x-axis, followed by a dilation centered at the origin with a scale factor of 0.5; a dilation centered at the origin with a scale factor of 0.5, followed by a reflection across the y-axis; a translation 4 units to the right, followed by a dilation centered at the origin with a scale factor of 0.5; a rotation of 180° about the point (0, ^–0.5), followed by a dilation centered at the origin with a scale factor of 0.5.

Back

a dilation centered at the origin with a scale factor of 0.5, followed by a reflection across the y-axis