Reflection, Translation, Rotation Practice

In the figure, triangle PQR has vertices P(0, −1), Q(3, −1) and R(5, −3). What are the vertices of the image after the translation (x, y) → (x − 5, y + 1)?

• P′ (1, −6), Q′ (4, −6), R′ (6, −8)
• P′ (−5, 0), Q′ (−2, 0), R′ (0, −2)
• P′ (5, −2), Q′ (8, −2), R′ (10, −4)
• P′ (−1, 4), Q′ (2, 4), R′ (4, 2)

Tags

CCSS.HSG.CO.A.2

∆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

Rotation Rules (clockwise):

90^o rotation: (x, y)→(y, -x)

What are the coordinates for A' after a 90^⁰ rotation clockwise?

• (1, 3)

• (3, 1)

• (3, -1)

• (1, -3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Rotation Rules (clockwise):

180^o rotation: (x, y)→(-x, -y)

What are the coordinates of C' after a rotation of 180° clockwise?

• (-3, -1)

• (3,1)

• (1,3)

• (-1, -3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which rule would give the translation from point P (2, 5) to the image P′ (−1, 7)?

• Move 3 units left and 2 units up.
• Move 3 units right and 2 units up.
• Move 3 units left and 7 units up.
• Move 2 units right and 2 units up.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Reflections over the x-axis change the ____-__________. 

• y-coordinate
• x-coordinate
• y-axis
• x-axis 

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Reflecting over the y-axis changes the ____-_____________. 

• x-axis
• x-coordinate
• y-coordinate
• none of the above

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Reflect the point (2, -4) over the y-axis.

• (-4, 2)
• (-2, 4)
• (-2, -4)
• (2, 4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A slide is also called a _________.

• Translation
• Reflection
• Rotation
• Transformation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A turn is also called a ___________.

• Translation
• Reflection
• Rotation
• Transformation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5