Geometry EOC Review #5 (Transformations)

Segment FG with endpoints F(0, -3) and G(0, -1) is translated 2 units up and 3 units to the left. What is the rule for this transformation?​ ​ (a)  

What are the coordinates of F’ and G’.​ ​ (b)  

• (x - 3), (y + 2)
• F' (-3, -1) G' (-3, 1)
• (x - 2), (y + 3)
• (x - 2, y + 3)
• F' (2, 0), G' (2, -4)

The vertices of ΔJKL are J(-2, 8), K(1, -3), and L(5, 4).  If ΔJKL is transformed following the rule (x, y)→(x+6, y-1), what are the coordinates of the vertices of ΔJ′K′L′?

• (7, -4)

• L'

• (11, 3)

• K'

• (4, 7)

• J'

Segment FG with endpoints F(0, -3) and G(0, -1) is reflected over the x-axis.

What is the rule for this transformation? ​​ (a)  

What are the coordinates of F’ and G’? ​

F' ​ (b)   G' ​ (c)  

• (0, 3)
• (0, 1)

Segment XY with endpoints X (2, -3) and Y (-3, 1) is rotated 90° counterclockwise about the origin.

The rule for this transformation is ​ (a)   ​ ​ . The coordinates of X’ ​are: ​​ (b)   and the coordinates of Y’ are: ​ (c)  

• (-y, x)
• (3, 2)

Segment PQ with endpoints P(2, -3) and Q(-3, 1) is rotated 180° about the origin, Match each item with the correct answer:

• the rule for this transformation

• (-2, 3)

• Q’

• (3, -1)

• P’

What are the coordinates of the image of segment MN with endpoints M(4,-2) and N(-3, 5) after a dilation with scale factor 3 and the origin as the center of dilation?  Write the rule for this transformation.

Consider quadrilateral ABCD and its image. Which statement describes the transformation?

• Rotation of 180° counterclockwise about the origin

• Reflection over the line x=2

• Translation of 4 units down

• Reflection over the line y=2

Match each point with the coordinates of its image after the following sequence of transformations:​

-First transformation: Rotate 90° clockwise about the origin.

-Second transformation: Translate (x, y)→(x + 1, y - 2).

A'​ ​ (a)   B' ​ ​ (b)   C' ​ (c)   D' ​ (d)  

• (1, 7)
• (7, 1)
• (5, -2)
• (3, 0)
• (-1, 7)
• (-5, -2)
• (3, -8)

On the set of axes below, ΔLET and ΔL"E"T" are graphed in the coordinate plane where ΔLET≅ΔL"E"T". Which sequence of rigid motions maps ΔLET onto ΔL"E"T"?

• A reflection over the y-axis followed by a reflection over the x-axis.

• A rotation of 90° counterclockwise about the origin followed by a reflection over the y-axis.

• A rotation of 180° about the origin.

• A reflection over the x-axis followed by a rotation of 90° clockwise about the origin

Triangle BAT has vertices B(2, 1), A(6, 2), and T(3, 6). If ΔBAT is transformed by a rotation of 270° counterclockwise about the origin followed by a translation with rule (x, y)→(x+3,y+6), what will be the coordinates of the final image of point A after the two transformations?

A' ​ (a)  

• ( 5, 0)
• -6, 3)
• (6, -3)
• (2, -6)
• (9, 3)