Unit 1 Transformations with Rigid Motions Review

Which of the following transformations to ∆ABC would NOT preserve size and shape?

• rotation 270° clockwise

• translation of (x – 7, y + 4)

• reflection over the x-axis

• dilation of scale factor 3

Tags

CCSS.HSG.CO.A.2

The vertices of ∆ABC are A(2, 1), B(3, 4), and C(1, 3). If ∆ABC is translated 3 unit down and 2 units to the left to create ∆DEF, what are the coordinates of the vertices of ∆DEF?

• D(0, –1), E(0, 3), F(–2, –2)

• D(–2, –2), E(0, 3), F(–1, 0)

• D(0, -2), E(1, 1), F(-1, 0)

• D(–1, 0), E(0, 3), F(–2, 2)

Tags

CCSS.HSG.CO.A.2

Which of the following statements about rigid transformations is FALSE?

• In a translation, the segments joining points of the pre-image and their images are parallel.

• In a reflection, the segments joining points of the pre-image and their images are parallel to the line of reflection.

• In a reflection, the points of the pre-image are always the same distance away from the line of reflection as the corresponding points of the image.

• In a rotation, the points of the pre-image are always the same distance away from the center of rotation as the corresponding points of the image.

Tags

CCSS.HSG.CO.B.6

• rotation

• translation

• reflection

• not enough information to determine

Tags

CCSS.HSG.CO.B.6

What will be the coordinates of point A if figure ABCD is reflected across the y-axis?

• (2, -5)

• (2, 5)

• (-5, 2)

• (5, 2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which of the following graphs is the result of a reflection of ∆PQR?

• 
• 
• 
• 

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which of the following transformations or combinations of transformations can help Delia prove her conjecture? Explain how the statements you select help Delia prove her conjecture.

Select all that apply.

• Rotate figure I 180° around point P.

• Rotate figure I 90° clockwise around point P, and then reflect the image across line n.

• Reflect figure I across line m, and then reflect the image across line n.

• Reflect figure I across line n, and then rotate the image 90° counterclockwise around point P.

• Reflect figure I across line s.

Tags

CCSS.HSG.CO.B.6

CCSS.8.G.A.2

Which transformation can be used to map Figure 1 onto itself and can also be used to map Figure 2 onto itself?

• A reflection over a line through the center of the figure that is parallel to one of the sides of the figure.

• A rotation of 180° about the center of the figure.

• A rotation of 90° clockwise about the center of the figure.

• A reflection over one of the diagonals of the figure.

Tags

CCSS.HSG.CO.A.3

The figure shows two perpendicular lines s and r, intersecting at point P in the interior of a trapezoid. Line r is parallel to the bases and bisects both legs of the trapezoid. Line s bisects both bases of the trapezoid.

Determine which transformation will ALWAYS carry the figure onto itself?

• a rotation of 90° clockwise about point P

• a rotation of 180° clockwise about point P

• a reflection across line r

• a reflection across line s

Tags

CCSS.HSG.CO.A.3

The rectangle is rotated 90º counterclockwise about the origin. Which of the following ordered pairs is a vertex of the rectangle’s image?

• (–5, 1)

• (–4, –1)

• (4, –5)

• (4, 4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5