6-2: Analyze Reflections

Is Figure A’B’C’D’ a reflection of Figure ABCD? Explain.

• Yes; it is a reflection over the x-axis.

• Yes; it is a reflection over the y-axis.

• Yes; it is a reflection over line f.

• No; it is not a reflection.

Which of the following statements is true about the values of the coordinate points in a figure when the figure is reflected over the y-axis?

• Only the x-values remain the same.

• Only the y-values remain the same.

• Both the x- and y-values remain the same.

• Both the x- and y-values change.

If ΔSTU is reflected over the y-axis, what are the coordinates of the vertices of ΔS’T’U’?

• (3,2) (2,4) (1,1)

• (-3,2) (-2,4) (-1,1)

• (2,3) (4,2) (1,1)

• (-2,3) (-4,2) (-1,1)

ΔA’B’C’ is a reflection of ΔABC. Which best describes the reflection?

• A reflection over the line x = 2

• A reflection over the line y = 3

• A reflection over the line x = 3

• A reflection over the y-axis

The vertices of Figure ABCD are A(1, 1), B(2, 3), C(4, 3), and D(5, 1). If Figure ABCD is reflected over the line y = –1, find the coordinates of vertex B’.

• (2,-5)

• (-2,5)

• (-5,2)

• (5,-2)

Point C (-5, 4) is reflected over the x-axis. What are the coordinates of C'? 

• (5, 4)
• (-5, -4)
• (5, -4)
• (-5, 4) 

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be?

• S'(3, 7)
• S'(-3, 7)
• S'(-3, -7)
• S'(3, 7)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

∆BCD contains the points: B(2,3) C(2,1) D(5,1). If the triangle is reflected across the x-axis, what will B' be?

• B'(2, -3)
• B'(-2, 3)
• B'(-2, -3)
• B'(2, 3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Reflect Point C over the y-axis:

• (-3, 2)
• (3,2)
• (-2,3)
• (3,0)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the x-axis, what will Q' be?

• Q'(4, 2)
• Q'(-4, 2)
• Q'(-4, -2)
• Q'(4, -2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5